diff --git a/src/postw90/berry.F90 b/src/postw90/berry.F90 index 0d5f3214f..a0b800776 100644 --- a/src/postw90/berry.F90 +++ b/src/postw90/berry.F90 @@ -1,1163 +1,1131 @@ -!-*- mode: F90 -*-! -!------------------------------------------------------------! -! This file is distributed as part of the Wannier90 code and ! -! under the terms of the GNU General Public License. See the ! -! file `LICENSE' in the root directory of the Wannier90 ! -! distribution, or http://www.gnu.org/copyleft/gpl.txt ! -! ! -! The webpage of the Wannier90 code is www.wannier.org ! -! ! -! The Wannier90 code is hosted on GitHub: ! -! ! -! https://github.com/wannier-developers/wannier90 ! -!------------------------------------------------------------! - -! --------------------------------------------------------------- - -module w90_berry - !! This module computes various "Berry phase" related properties - !! - !! Key REFERENCES - !! - !! * WYSV06 = PRB 74, 195118 (2006) (anomalous Hall conductivity - AHC) - !! * YWVS07 = PRB 75, 195121 (2007) (Kubo frequency-dependent conductivity) - !! * LVTS12 = PRB 85, 014435 (2012) (orbital magnetization and AHC) - !! * CTVR06 = PRB 74, 024408 (2006) ( " " ) - ! --------------------------------------------------------------- - ! - ! * Undocumented, works for limited purposes only: - ! reading k-points and weights from file - - use w90_constants, only : dp - - implicit none - - private - - public :: berry_main,berry_get_imf_klist,berry_get_imfgh_klist - - ! Pseudovector <--> Antisymmetric tensor - ! - ! x <--> (y,z) - ! y <--> (z,x) - ! z <--> (x,y) - ! - integer, dimension(3), parameter :: alpha_A=(/ 2,3,1 /) - integer, dimension(3), parameter :: beta_A=(/ 3,1,2 /) - - ! Independent components of a symmetric tensor - ! - ! 1 <--> xx - ! 2 <--> yy - ! 3 <--> zz - ! 4 <--> xy - ! 5 <--> xz - ! 6 <--> yz - ! - integer, dimension(6), parameter :: alpha_S=(/ 1,2,3,1,1,2 /) - integer, dimension(6), parameter :: beta_S=(/ 1,2,3,2,3,3 /) - - - contains - - !===========================================================! - ! PUBLIC PROCEDURES ! - !===========================================================! - - subroutine berry_main - !============================================================! - ! ! - !! Computes the following quantities: - !! (i) Anomalous Hall conductivity (from Berry curvature) - !! (ii) Complex optical conductivity (Kubo-Greenwood) & JDOS - !! (iii) Orbital magnetization - ! ! - !============================================================! - - use w90_constants, only : dp,cmplx_0,elem_charge_SI,hbar_SI,& - eV_au,bohr - use w90_comms, only : on_root,num_nodes,my_node_id,comms_reduce - use w90_io, only : io_error,stdout,io_file_unit,seedname,& - io_stopwatch - use w90_postw90_common, only : nrpts,irvec,num_int_kpts_on_node,int_kpts,& - weight - use w90_parameters, only : timing_level,iprint,num_wann,berry_kmesh,& - berry_curv_adpt_kmesh,& - berry_curv_adpt_kmesh_thresh,& - wanint_kpoint_file,cell_volume,transl_inv,& - berry_task,berry_curv_unit,spin_decomp,& - kubo_nfreq,kubo_freq_list,nfermi,& - fermi_energy_list - use w90_get_oper, only : get_HH_R,get_AA_R,get_BB_R,get_CC_R,& - get_SS_R - - real(kind=dp), allocatable :: adkpt(:,:) - - ! AHC and orbital magnetization, calculated for a list of Fermi levels - ! - ! First index labels J0,J1,J2 terms, second labels the Cartesian component - ! - real(kind=dp) :: imf_k_list(3,3,nfermi),imf_list(3,3,nfermi) - real(kind=dp) :: img_k_list(3,3,nfermi),img_list(3,3,nfermi) - real(kind=dp) :: imh_k_list(3,3,nfermi),imh_list(3,3,nfermi) - real(kind=dp) :: ahc_list(3,3,nfermi) - real(kind=dp) :: LCtil_list(3,3,nfermi),ICtil_list(3,3,nfermi),& - Morb_list(3,3,nfermi) - real(kind=dp) :: imf_k_list_dummy(3,3,nfermi) ! adaptive refinement of AHC - - ! Complex optical conductivity, dividided into Hermitean and - ! anti-Hermitean parts - ! - complex(kind=dp), allocatable :: kubo_H_k(:,:,:) - complex(kind=dp), allocatable :: kubo_H(:,:,:) - complex(kind=dp), allocatable :: kubo_AH_k(:,:,:) - complex(kind=dp), allocatable :: kubo_AH(:,:,:) - ! decomposition into up-up, down-down and spin-flip transitions - complex(kind=dp), allocatable :: kubo_H_k_spn(:,:,:,:) - complex(kind=dp), allocatable :: kubo_H_spn(:,:,:,:) - complex(kind=dp), allocatable :: kubo_AH_k_spn(:,:,:,:) - complex(kind=dp), allocatable :: kubo_AH_spn(:,:,:,:) - - ! Joint density of states - ! - real(kind=dp), allocatable :: jdos_k(:) - real(kind=dp), allocatable :: jdos(:) - ! decomposition into up-up, down-down and spin-flip transitions - real(kind=dp), allocatable :: jdos_k_spn(:,:) - real(kind=dp), allocatable :: jdos_spn(:,:) - - real(kind=dp) :: kweight,kweight_adpt,kpt(3),kpt_ad(3),& - db1,db2,db3,fac,freq,rdum,vdum(3) - integer :: n,i,j,k,ikpt,if,ispn,ierr,loop_x,loop_y,loop_z,& - loop_xyz,loop_adpt,adpt_counter_list(nfermi),ifreq,& - file_unit - character(len=24) :: file_name - logical :: eval_ahc,eval_morb,eval_kubo,not_scannable - - if(nfermi==0) call io_error(& - 'Must specify one or more Fermi levels when berry=true') - - if (timing_level>1.and.on_root) call io_stopwatch('berry: prelims',1) - - ! Mesh spacing in reduced coordinates - ! - db1=1.0_dp/real(berry_kmesh(1),dp) - db2=1.0_dp/real(berry_kmesh(2),dp) - db3=1.0_dp/real(berry_kmesh(3),dp) - - eval_ahc=.false. - eval_morb=.false. - eval_kubo=.false. - if(index(berry_task,'ahc')>0) eval_ahc=.true. - if(index(berry_task,'morb')>0) eval_morb=.true. - if(index(berry_task,'kubo')>0) eval_kubo=.true. - - ! Wannier matrix elements, allocations and initializations - ! - if(eval_ahc) then - call get_HH_R - call get_AA_R - imf_list=0.0_dp - adpt_counter_list=0 - endif - - if(eval_morb) then - call get_HH_R - call get_AA_R - call get_BB_R - call get_CC_R - imf_list=0.0_dp - img_list=0.0_dp - imh_list=0.0_dp - endif - - ! List here berry_tasks that assume nfermi=1 - ! - not_scannable=eval_kubo - if(not_scannable .and. nfermi.ne.1) call io_error(& - 'The berry_task(s) you chose require that you specify a single '& - //'Fermi energy: scanning the Fermi energy is not implemented') - - if(eval_kubo) then - call get_HH_R - call get_AA_R - allocate(kubo_H_k(3,3,kubo_nfreq)) - allocate(kubo_H(3,3,kubo_nfreq)) - allocate(kubo_AH_k(3,3,kubo_nfreq)) - allocate(kubo_AH(3,3,kubo_nfreq)) - allocate(jdos_k(kubo_nfreq)) - allocate(jdos(kubo_nfreq)) - kubo_H=cmplx_0 - kubo_AH=cmplx_0 - jdos=0.0_dp - if(spin_decomp) then - call get_SS_R - allocate(kubo_H_k_spn(3,3,3,kubo_nfreq)) - allocate(kubo_H_spn(3,3,3,kubo_nfreq)) - allocate(kubo_AH_k_spn(3,3,3,kubo_nfreq)) - allocate(kubo_AH_spn(3,3,3,kubo_nfreq)) - allocate(jdos_k_spn(3,kubo_nfreq)) - allocate(jdos_spn(3,kubo_nfreq)) - kubo_H_spn=cmplx_0 - kubo_AH_spn=cmplx_0 - jdos_spn=0.0_dp - endif - endif - - if(on_root) then - - write(stdout,'(/,/,1x,a)')& - 'Properties calculated in module b e r r y' - write(stdout,'(1x,a)')& - '------------------------------------------' - - if(eval_ahc) write(stdout,'(/,3x,a)')& - '* Anomalous Hall conductivity' - - if(eval_morb) write(stdout,'(/,3x,a)') '* Orbital magnetization' - - if(eval_kubo) then - if(spin_decomp) then - write(stdout,'(/,3x,a)')& - '* Complex optical conductivity and its spin-decomposition' - write(stdout,'(/,3x,a)')& - '* Joint density of states and its spin-decomposition' - else - write(stdout,'(/,3x,a)') '* Complex optical conductivity' - write(stdout,'(/,3x,a)') '* Joint density of states' - endif - endif - - if(transl_inv) then - if(eval_morb)& - call io_error('transl_inv=T disabled for morb') - write(stdout,'(/,1x,a)')& - 'Using a translationally-invariant discretization for the' - write(stdout,'(1x,a)')& - 'band-diagonal Wannier matrix elements of r, etc.' - endif - - if (timing_level>1) then - call io_stopwatch('berry: prelims',2) - call io_stopwatch('berry: k-interpolation',1) - endif - - end if !on_root - - ! Set up adaptive refinement mesh - ! - allocate(adkpt(3,berry_curv_adpt_kmesh**3),stat=ierr) - if (ierr/=0) call io_error('Error in allocating adkpt in berry') - ikpt=0 - ! - ! OLD VERSION (only works correctly for odd grids including original point) - ! - ! do i=-(berry_curv_adpt_kmesh-1)/2,(berry_curv_adpt_kmesh-1)/2 - ! do j=-(berry_curv_adpt_kmesh-1)/2,(berry_curv_adpt_kmesh-1)/2 - ! do k=-(berry_curv_adpt_kmesh-1)/2,(berry_curv_adpt_kmesh-1)/2 - ! ikpt=ikpt+1 - ! adkpt(1,ikpt)=i*db1/berry_curv_adpt_kmesh - ! adkpt(2,ikpt)=j*db2/berry_curv_adpt_kmesh - ! adkpt(3,ikpt)=k*db3/berry_curv_adpt_kmesh - ! end do - ! end do - ! end do - ! - ! NEW VERSION (both even and odd grids) - ! - do i=0,berry_curv_adpt_kmesh-1 - do j=0,berry_curv_adpt_kmesh-1 - do k=0,berry_curv_adpt_kmesh-1 - ikpt=ikpt+1 - adkpt(1,ikpt)=db1*((i+0.5_dp)/berry_curv_adpt_kmesh-0.5_dp) - adkpt(2,ikpt)=db2*((j+0.5_dp)/berry_curv_adpt_kmesh-0.5_dp) - adkpt(3,ikpt)=db3*((k+0.5_dp)/berry_curv_adpt_kmesh-0.5_dp) - end do - end do - end do - - ! Loop over interpolation k-points - ! - if(wanint_kpoint_file) then - - ! NOTE: still need to specify berry_kmesh in the input file - ! - ! - Must use the correct nominal value in order to - ! correctly set up adaptive smearing in kubo - - - if(on_root) write(stdout,'(/,1x,a,i10,a)')& - 'Reading interpolation grid from file kpoint.dat: ',& - sum(num_int_kpts_on_node),' points' - - ! Loop over k-points on the irreducible wedge of the Brillouin - ! zone, read from file 'kpoint.dat' - ! - do loop_xyz=1,num_int_kpts_on_node(my_node_id) - kpt(:)=int_kpts(:,loop_xyz) - kweight=weight(loop_xyz) - kweight_adpt=kweight/berry_curv_adpt_kmesh**3 - ! . - ! ***BEGIN COPY OF CODE BLOCK 1*** - ! - if(eval_ahc) then - call berry_get_imf_klist(kpt,imf_k_list) - do if=1,nfermi - vdum(1)=sum(imf_k_list(:,1,if)) - vdum(2)=sum(imf_k_list(:,2,if)) - vdum(3)=sum(imf_k_list(:,3,if)) - if(berry_curv_unit=='bohr2') vdum=vdum/bohr**2 - rdum=sqrt(dot_product(vdum,vdum)) - if(rdum>berry_curv_adpt_kmesh_thresh) then - adpt_counter_list(if)=adpt_counter_list(if)+1 - do loop_adpt=1,berry_curv_adpt_kmesh**3 - ! Using imf_k_list here would corrupt values for other - ! frequencies, hence dummy. Only if-th element is used - call berry_get_imf_klist(kpt(:)+adkpt(:,loop_adpt),& - imf_k_list_dummy) - imf_list(:,:,if)=imf_list(:,:,if)& - +imf_k_list_dummy(:,:,if)*kweight_adpt - end do - else - imf_list(:,:,if)=imf_list(:,:,if)+imf_k_list(:,:,if)*kweight - endif - enddo - end if - - if(eval_morb) then - call berry_get_imfgh_klist(kpt,imf_k_list,img_k_list,imh_k_list) - imf_list=imf_list+imf_k_list*kweight - img_list=img_list+img_k_list*kweight - imh_list=imh_list+imh_k_List*kweight - endif - - if(eval_kubo) then - if(spin_decomp) then - call berry_get_kubo_k(kpt,kubo_H_k,kubo_AH_k,jdos_k,& - kubo_H_k_spn,kubo_AH_k_spn,jdos_k_spn) - else - call berry_get_kubo_k(kpt,kubo_H_k,kubo_AH_k,jdos_k) - endif - kubo_H=kubo_H+kubo_H_k*kweight - kubo_AH=kubo_AH+kubo_AH_k*kweight - jdos=jdos+jdos_k*kweight - if(spin_decomp) then - kubo_H_spn=kubo_H_spn+kubo_H_k_spn*kweight - kubo_AH_spn=kubo_AH_spn+kubo_AH_k_spn*kweight - jdos_spn=jdos_spn+jdos_k_spn*kweight - endif - endif - ! - ! ***END COPY OF CODE BLOCK 1*** - - end do !loop_xyz - - else ! Do not read 'kpoint.dat'. Loop over a regular grid in the full BZ - - kweight=db1*db2*db3 - kweight_adpt=kweight/berry_curv_adpt_kmesh**3 - - do loop_xyz=my_node_id,PRODUCT(berry_kmesh)-1,num_nodes - loop_x= loop_xyz/(berry_kmesh(2)*berry_kmesh(3)) - loop_y=(loop_xyz-loop_x*(berry_kmesh(2)& - *berry_kmesh(3)))/berry_kmesh(3) - loop_z=loop_xyz-loop_x*(berry_kmesh(2)*berry_kmesh(3))& - -loop_y*berry_kmesh(3) - kpt(1)=loop_x*db1 - kpt(2)=loop_y*db2 - kpt(3)=loop_z*db3 - - ! ***BEGIN CODE BLOCK 1*** - ! - if(eval_ahc) then - call berry_get_imf_klist(kpt,imf_k_list) - do if=1,nfermi - vdum(1)=sum(imf_k_list(:,1,if)) - vdum(2)=sum(imf_k_list(:,2,if)) - vdum(3)=sum(imf_k_list(:,3,if)) - if(berry_curv_unit=='bohr2') vdum=vdum/bohr**2 - rdum=sqrt(dot_product(vdum,vdum)) - if(rdum>berry_curv_adpt_kmesh_thresh) then - adpt_counter_list(if)=adpt_counter_list(if)+1 - do loop_adpt=1,berry_curv_adpt_kmesh**3 - ! Using imf_k_list here would corrupt values for other - ! frequencies, hence dummy. Only if-th element is used - call berry_get_imf_klist(kpt(:)+adkpt(:,loop_adpt),& - imf_k_list_dummy) - imf_list(:,:,if)=imf_list(:,:,if)& - +imf_k_list_dummy(:,:,if)*kweight_adpt - end do - else - imf_list(:,:,if)=imf_list(:,:,if)+imf_k_list(:,:,if)*kweight - endif - enddo - end if - - if(eval_morb) then - call berry_get_imfgh_klist(kpt,imf_k_list,img_k_list,imh_k_list) - imf_list=imf_list+imf_k_list*kweight - img_list=img_list+img_k_list*kweight - imh_list=imh_list+imh_k_List*kweight - endif - - if(eval_kubo) then - if(spin_decomp) then - call berry_get_kubo_k(kpt,kubo_H_k,kubo_AH_k,jdos_k,& - kubo_H_k_spn,kubo_AH_k_spn,jdos_k_spn) - else - call berry_get_kubo_k(kpt,kubo_H_k,kubo_AH_k,jdos_k) - endif - kubo_H=kubo_H+kubo_H_k*kweight - kubo_AH=kubo_AH+kubo_AH_k*kweight - jdos=jdos+jdos_k*kweight - if(spin_decomp) then - kubo_H_spn=kubo_H_spn+kubo_H_k_spn*kweight - kubo_AH_spn=kubo_AH_spn+kubo_AH_k_spn*kweight - jdos_spn=jdos_spn+jdos_k_spn*kweight - endif - endif - ! - ! ***END CODE BLOCK 1*** - - end do !loop_xyz - - end if !wanint_kpoint_file - - ! Collect contributions from all nodes - ! - if(eval_ahc) then - call comms_reduce(imf_list(1,1,1),3*3*nfermi,'SUM') - call comms_reduce(adpt_counter_list(1),nfermi,'SUM') - endif - - if(eval_morb) then - call comms_reduce(imf_list(1,1,1),3*3*nfermi,'SUM') - call comms_reduce(img_list(1,1,1),3*3*nfermi,'SUM') - call comms_reduce(imh_list(1,1,1),3*3*nfermi,'SUM') - end if - - if(eval_kubo) then - call comms_reduce(kubo_H(1,1,1),3*3*kubo_nfreq,'SUM') - call comms_reduce(kubo_AH(1,1,1),3*3*kubo_nfreq,'SUM') - call comms_reduce(jdos(1),kubo_nfreq,'SUM') - if(spin_decomp) then - call comms_reduce(kubo_H_spn(1,1,1,1),3*3*3*kubo_nfreq,'SUM') - call comms_reduce(kubo_AH_spn(1,1,1,1),3*3*3*kubo_nfreq,'SUM') - call comms_reduce(jdos_spn(1,1),3*kubo_nfreq,'SUM') - endif - endif - - if(on_root) then - - if (timing_level>1) call io_stopwatch('berry: k-interpolation',2) - write(stdout,'(1x,a)') ' ' - if(eval_ahc .and. berry_curv_adpt_kmesh.ne.1) then - if(.not.wanint_kpoint_file) write(stdout, '(1x,a28,3(i0,1x))')& - 'Regular interpolation grid: ',berry_kmesh - write(stdout, '(1x,a28,3(i0,1x))') 'Adaptive refinement grid: ',& - berry_curv_adpt_kmesh,berry_curv_adpt_kmesh,berry_curv_adpt_kmesh - if(berry_curv_unit=='ang2') then - write(stdout, '(1x,a28,a17,f6.2,a)')& - 'Refinement threshold: ','Berry curvature >',& - berry_curv_adpt_kmesh_thresh,' Ang^2' - elseif(berry_curv_unit=='bohr2') then - write(stdout, '(1x,a28,a17,f6.2,a)')& - 'Refinement threshold: ','Berry curvature >',& - berry_curv_adpt_kmesh_thresh,' bohr^2' - endif - if(nfermi==1) then - if(wanint_kpoint_file) then - write(stdout,'(1x,a30,i5,a,f5.2,a)')& - ' Points triggering refinement: ',& - adpt_counter_list(1),'(',& - 100*real(adpt_counter_list(1),dp)& - /sum(num_int_kpts_on_node),'%)' - else - write(stdout,'(1x,a30,i5,a,f5.2,a)')& - ' Points triggering refinement: ',& - adpt_counter_list(1),'(',& - 100*real(adpt_counter_list(1),dp)/product(berry_kmesh),'%)' - endif - endif - else - if(.not.wanint_kpoint_file) write(stdout, '(1x,a20,3(i0,1x))')& - 'Interpolation grid: ',berry_kmesh(1:3) - endif - - if(eval_ahc) then - ! - ! -------------------------------------------------------------------- - ! At this point imf contains - ! - ! (1/N) sum_k Omega_{alpha beta}(k), - ! - ! an approximation to - ! - ! V_c.int dk/(2.pi)^3 Omega_{alpha beta}(k) dk - ! - ! (V_c is the cell volume). We want - ! - ! sigma_{alpha beta}=-(e^2/hbar) int dk/(2.pi)^3 Omega(k) dk - ! - ! Hence need to multiply by -(e^2/hbar.V_c). - ! To get a conductivity in units of S/cm, - ! - ! (i) Divide by V_c to obtain (1/N) sum_k omega(k)/V_c, with units - ! of [L]^{-1} (Berry curvature Omega(k) has units of [L]^2) - ! (ii) [L] = Angstrom. Multiply by 10^8 to convert to (cm)^{-1} - ! (iii) Multiply by -e^2/hbar in SI, with has units ofconductance, - ! (Ohm)^{-1}, or Siemens (S), to get the final result in S/cm - ! - ! =========================== - ! fac = -e^2/(hbar.V_c*10^-8) - ! =========================== - ! - ! with 'V_c' in Angstroms^3, and 'e', 'hbar' in SI units - ! -------------------------------------------------------------------- - ! - fac=-1.0e8_dp*elem_charge_SI**2/(hbar_SI*cell_volume) - ahc_list(:,:,:)=imf_list(:,:,:)*fac - if(nfermi>1) then - write(stdout,'(/,1x,a)')& - '---------------------------------' - write(stdout,'(1x,a)')& - 'Output data files related to AHC:' - write(stdout,'(1x,a)')& - '---------------------------------' - file_name=trim(seedname)//'-ahc-fermiscan.dat' - write(stdout,'(/,3x,a)') '* '//file_name - file_unit=io_file_unit() - open(file_unit,FILE=file_name,STATUS='UNKNOWN',FORM='FORMATTED') - endif - do if=1,nfermi - if(nfermi>1) write(file_unit,'(4(F12.6,1x))')& - fermi_energy_list(if),sum(ahc_list(:,1,if)),& - sum(ahc_list(:,2,if)),sum(ahc_list(:,3,if)) - write(stdout,'(/,1x,a18,F10.4)') 'Fermi energy (ev):',& - fermi_energy_list(if) - if(nfermi>1) then - if(wanint_kpoint_file) then - write(stdout,'(1x,a30,i5,a,f5.2,a)')& - ' Points triggering refinement: ',& - adpt_counter_list(if),'(',& - 100*real(adpt_counter_list(if),dp)& - /sum(num_int_kpts_on_node),'%)' - else - write(stdout,'(1x,a30,i5,a,f5.2,a)')& - ' Points triggering refinement: ',& - adpt_counter_list(if),'(',& - 100*real(adpt_counter_list(if),dp)& - /product(berry_kmesh),'%)' - endif - endif - write(stdout,'(/,1x,a)')& - 'AHC (S/cm) x y z' - if(iprint>1) then - write(stdout,'(1x,a)')& - '==========' - write(stdout,'(1x,a9,2x,3(f10.4,1x))') 'J0 term :',& - ahc_list(1,1,if),ahc_list(1,2,if),ahc_list(1,3,if) - write(stdout,'(1x,a9,2x,3(f10.4,1x))') 'J1 term :',& - ahc_list(2,1,if),ahc_list(2,2,if),ahc_list(2,3,if) - write(stdout,'(1x,a9,2x,3(f10.4,1x))') 'J2 term :',& - ahc_list(3,1,if),ahc_list(3,2,if),ahc_list(3,3,if) - write(stdout,'(1x,a)')& - '-------------------------------------------' - write(stdout,'(1x,a9,2x,3(f10.4,1x),/)') 'Total :',& - sum(ahc_list(:,1,if)),sum(ahc_list(:,2,if)),& - sum(ahc_list(:,3,if)) - else - write(stdout,'(1x,a10,1x,3(f10.4,1x),/)') '==========',& - sum(ahc_list(:,1,if)),sum(ahc_list(:,2,if)),& - sum(ahc_list(:,3,if)) - endif - enddo - if(nfermi>1) close(file_unit) - endif - - if(eval_morb) then - ! - ! -------------------------------------------------------------------- - ! At this point X=img_ab(:)-fermi_energy*imf_ab(:) and - ! Y=imh_ab(:)-fermi_energy*imf_ab(:) - ! contain, eg, - ! - ! (1/N) sum_k X(k), where X(k)=-2*Im[g(k)-E_F.f(k)] - ! - ! This is an approximation to - ! - ! V_c.int dk/(2.pi)^3 X(k) dk - ! - ! (V_c is the cell volume). We want a magnetic moment per cell, - ! in units of the Bohr magneton. The magnetization-like quantity is - ! - ! \tilde{M}^LC=-(e/2.hbar) int dk/(2.pi)^3 X(k) dk - ! - ! So we take X and - ! - ! (i) The summand is an energy in eV times a Berry curvature in - ! Ang^2. To convert to a.u., divide by 27.2 and by 0.529^2 - ! (ii) Multiply by -(e/2.hbar)=-1/2 in atomic units - ! (iii) At this point we have a magnetic moment (per cell) in atomic - ! units. 1 Bohr magneton = 1/2 atomic unit, so need to multiply - ! by 2 to convert it to Bohr magnetons - ! -------------------------------------------------------------------- - ! - fac=-eV_au/bohr**2 - if(nfermi>1) then - write(stdout,'(/,1x,a)')& - '---------------------------------' - write(stdout,'(1x,a)')& - 'Output data files related to the orbital magnetization:' - write(stdout,'(1x,a)')& - '---------------------------------' - file_name=trim(seedname)//'-morb-fermiscan.dat' - write(stdout,'(/,3x,a)') '* '//file_name - file_unit=io_file_unit() - open(file_unit,FILE=file_name,STATUS='UNKNOWN',FORM='FORMATTED') - endif - do if=1,nfermi - LCtil_list(:,:,if)=(img_list(:,:,if)& - -fermi_energy_list(if)*imf_list(:,:,if))*fac - ICtil_list(:,:,if)=(imh_list(:,:,if)& - -fermi_energy_list(if)*imf_list(:,:,if))*fac - Morb_list(:,:,if)=LCtil_list(:,:,if)+ICtil_list(:,:,if) - if(nfermi>1) write(file_unit,'(4(F12.6,1x))')& - fermi_energy_list(if),sum(Morb_list(1:3,1,if)),& - sum(Morb_list(1:3,2,if)),sum(Morb_list(1:3,3,if)) - write(stdout,'(/,/,1x,a,F12.6)') 'Fermi energy (ev) =',& - fermi_energy_list(if) - write(stdout,'(/,/,1x,a)')& - 'M_orb (bohr magn/cell) x y z' - if(iprint>1) then - write(stdout,'(1x,a)')& - '======================' - write(stdout,'(1x,a22,2x,3(f10.4,1x))') 'Local circulation :',& - sum(LCtil_list(1:3,1,if)),sum(LCtil_list(1:3,2,if)),& - sum(LCtil_list(1:3,3,if)) - write(stdout,'(1x,a22,2x,3(f10.4,1x))')& - 'Itinerant circulation:',& - sum(ICtil_list(1:3,1,if)),sum(ICtil_list(1:3,2,if)),& - sum(ICtil_list(1:3,3,if)) - write(stdout,'(1x,a)')& - '--------------------------------------------------------' - write(stdout,'(1x,a22,2x,3(f10.4,1x),/)') 'Total :',& - sum(Morb_list(1:3,1,if)),sum(Morb_list(1:3,2,if)),& - sum(Morb_list(1:3,3,if)) - else - write(stdout,'(1x,a22,2x,3(f10.4,1x),/)')& - '======================',& - sum(Morb_list(1:3,1,if)),sum(Morb_list(1:3,2,if)),& - sum(Morb_list(1:3,3,if)) - endif - enddo - if(nfermi>1) close(file_unit) - endif - - ! -----------------------------! - ! Complex optical conductivity ! - ! -----------------------------! - ! - if(eval_kubo) then - ! - ! Convert to S/cm - fac=1.0e8_dp*elem_charge_SI**2/(hbar_SI*cell_volume) - kubo_H=kubo_H*fac - kubo_AH=kubo_AH*fac - if(spin_decomp) then - kubo_H_spn=kubo_H_spn*fac - kubo_AH_spn=kubo_AH_spn*fac - endif - ! - write(stdout,'(/,1x,a)')& - '----------------------------------------------------------' - write(stdout,'(1x,a)')& - 'Output data files related to complex optical conductivity:' - write(stdout,'(1x,a)')& - '----------------------------------------------------------' - ! - ! Symmetric: real (imaginary) part is Hermitean (anti-Hermitean) - ! - do n=1,6 - i=alpha_S(n) - j=beta_S(n) - file_name= trim(seedname)//'-kubo_S_'//& - achar(119+i)//achar(119+j)//'.dat' - file_name=trim(file_name) - file_unit=io_file_unit() - write(stdout,'(/,3x,a)') '* '//file_name - open(file_unit,FILE=file_name,STATUS='UNKNOWN',FORM='FORMATTED') - do ifreq=1,kubo_nfreq - if(spin_decomp) then - write(file_unit,'(9E16.8)') real(kubo_freq_list(ifreq),dp),& - real(0.5_dp*(kubo_H(i,j,ifreq)+kubo_H(j,i,ifreq)),dp),& - aimag(0.5_dp*(kubo_AH(i,j,ifreq)+kubo_AH(j,i,ifreq))),& - real(0.5_dp*(kubo_H_spn(i,j,1,ifreq)& - +kubo_H_spn(j,i,1,ifreq)),dp),& - aimag(0.5_dp*(kubo_AH_spn(i,j,1,ifreq)& - +kubo_AH_spn(j,i,1,ifreq))),& - real(0.5_dp*(kubo_H_spn(i,j,2,ifreq)& - +kubo_H_spn(j,i,2,ifreq)),dp),& - aimag(0.5_dp*(kubo_AH_spn(i,j,2,ifreq)& - +kubo_AH_spn(j,i,2,ifreq))),& - real(0.5_dp*(kubo_H_spn(i,j,3,ifreq)& - +kubo_H_spn(j,i,3,ifreq)),dp),& - aimag(0.5_dp*(kubo_AH_spn(i,j,3,ifreq)& - +kubo_AH_spn(j,i,3,ifreq))) - else - write(file_unit,'(3E16.8)') real(kubo_freq_list(ifreq),dp),& - real(0.5_dp*(kubo_H(i,j,ifreq)+kubo_H(j,i,ifreq)),dp),& - aimag(0.5_dp*(kubo_AH(i,j,ifreq)+kubo_AH(j,i,ifreq))) - endif - enddo - close(file_unit) - enddo - ! - ! Antisymmetric: real (imaginary) part is anti-Hermitean (Hermitean) - ! - do n=1,3 - i=alpha_A(n) - j=beta_A(n) - file_name= trim(seedname)//'-kubo_A_'//& - achar(119+i)//achar(119+j)//'.dat' - file_name=trim(file_name) - file_unit=io_file_unit() - write(stdout,'(/,3x,a)') '* '//file_name - open(file_unit,FILE=file_name,STATUS='UNKNOWN',FORM='FORMATTED') - do ifreq=1,kubo_nfreq - if(spin_decomp) then - write(file_unit,'(9E16.8)') real(kubo_freq_list(ifreq),dp),& - real(0.5_dp*(kubo_AH(i,j,ifreq)-kubo_AH(j,i,ifreq)),dp),& - aimag(0.5_dp*(kubo_H(i,j,ifreq)-kubo_H(j,i,ifreq))),& - real(0.5_dp*(kubo_AH_spn(i,j,1,ifreq)& - -kubo_AH_spn(j,i,1,ifreq)),dp),& - aimag(0.5_dp*(kubo_H_spn(i,j,1,ifreq)& - -kubo_H_spn(j,i,1,ifreq))),& - real(0.5_dp*(kubo_AH_spn(i,j,2,ifreq)& - -kubo_AH_spn(j,i,2,ifreq)),dp),& - aimag(0.5_dp*(kubo_H_spn(i,j,2,ifreq)& - -kubo_H_spn(j,i,2,ifreq))),& - real(0.5_dp*(kubo_AH_spn(i,j,3,ifreq)& - -kubo_AH_spn(j,i,3,ifreq)),dp),& - aimag(0.5_dp*(kubo_H_spn(i,j,3,ifreq)& - -kubo_H_spn(j,i,3,ifreq))) - else - write(file_unit,'(3E16.8)') real(kubo_freq_list(ifreq),dp),& - real(0.5_dp*(kubo_AH(i,j,ifreq)-kubo_AH(j,i,ifreq)),dp),& - aimag(0.5_dp*(kubo_H(i,j,ifreq)-kubo_H(j,i,ifreq))) - endif - enddo - close(file_unit) - enddo - ! - ! Joint density of states - ! - file_name=trim(seedname)//'-jdos.dat' - write(stdout,'(/,3x,a)') '* '//file_name - file_unit=io_file_unit() - open(file_unit,FILE=file_name,STATUS='UNKNOWN',FORM='FORMATTED') - do ifreq=1,kubo_nfreq - if(spin_decomp) then - write(file_unit,'(5E16.8)') real(kubo_freq_list(ifreq),dp),& - jdos(ifreq),jdos_spn(:,ifreq) - else - write(file_unit,'(2E16.8)') real(kubo_freq_list(ifreq),dp),& - jdos(ifreq) - endif - enddo - close(file_unit) - endif - - end if !on_root - - end subroutine berry_main - - - subroutine berry_get_imf_klist(kpt,imf_k_list) - !============================================================! - ! ! - !! Calculates the Berry curvature traced over the occupied - !! states, -2Im[f(k)] [Eq.33 CTVR06, Eq.6 LVTS12] for a list - !! of Fermi energies, and stores it in axial-vector form - ! ! - !============================================================! - - use w90_constants, only : dp,cmplx_0,cmplx_i - use w90_utility, only : utility_re_tr,utility_im_tr - use w90_parameters, only : num_wann,nfermi - use w90_postw90_common, only : pw90common_fourier_R_to_k_vec - use w90_wan_ham, only : wham_get_eig_UU_HH_JJlist,wham_get_occ_mat_list - use w90_get_oper, only : AA_R - - ! Arguments - ! - real(kind=dp), intent(in) :: kpt(3) - real(kind=dp), intent(out), dimension(:,:,:) :: imf_k_list - - complex(kind=dp), allocatable :: UU(:,:) - complex(kind=dp), allocatable :: f_list(:,:,:) - complex(kind=dp), allocatable :: g_list(:,:,:) - complex(kind=dp), allocatable :: AA(:,:,:) - complex(kind=dp), allocatable :: OOmega(:,:,:) - complex(kind=dp), allocatable :: JJp_list(:,:,:,:) - complex(kind=dp), allocatable :: JJm_list(:,:,:,:) - complex(kind=dp), allocatable :: mdum(:,:) - real(kind=dp) :: eig(num_wann) - integer :: i,if - - allocate(UU(num_wann,num_wann)) - allocate(f_list(num_wann,num_wann,nfermi)) - allocate(g_list(num_wann,num_wann,nfermi)) - allocate(JJp_list(num_wann,num_wann,nfermi,3)) - allocate(JJm_list(num_wann,num_wann,nfermi,3)) - allocate(AA(num_wann,num_wann,3)) - allocate(OOmega(num_wann,num_wann,3)) - allocate(mdum(num_wann,num_wann)) - - ! Gather W-gauge matrix objects - ! - call wham_get_eig_UU_HH_JJlist(kpt,eig,UU,mdum,JJp_list,JJm_list) - ! occupation matrices f and g=1-f - call wham_get_occ_mat_list(eig,UU,f_list,g_list) - - ! Eqs.(39-40) WYSV06 - ! - call pw90common_fourier_R_to_k_vec(kpt,AA_R,OO_true=AA,OO_pseudo=OOmega) - - ! Trace formula, Eq.(51) LVTS12 - ! - do if=1,nfermi - do i=1,3 - ! - ! J0 term (Omega_bar term of WYSV06) - mdum=matmul(f_list(:,:,if),OOmega(:,:,i)) - imf_k_list(1,i,if)=utility_re_tr(mdum) - ! - ! J1 term (DA term of WYSV06) - mdum =matmul(AA(:,:,alpha_A(i)),JJp_list(:,:,if,beta_A(i)))& - +matmul(JJm_list(:,:,if,alpha_A(i)),AA(:,:,beta_A(i))) - imf_k_list(2,i,if)=-2.0_dp*utility_im_tr(mdum) - ! - ! J2 term (DD of WYSV06) - mdum=matmul(JJm_list(:,:,if,alpha_A(i)),JJp_list(:,:,if,beta_A(i))) - imf_k_list(3,i,if)=-2.0_dp*utility_im_tr(mdum) - ! - end do - enddo - - end subroutine berry_get_imf_klist - - - subroutine berry_get_imfgh_klist(kpt,imf_k_list,img_k_list,imh_k_list) - !=========================================================! - ! ! - !! Calculates the three quantities needed for the orbital - !! magnetization: - !! - !! * -2Im[f(k)] [Eq.33 CTVR06, Eq.6 LVTS12] - !! * -2Im[g(k)] [Eq.34 CTVR06, Eq.7 LVTS12] - !! * -2Im[h(k)] [Eq.35 CTVR06, Eq.8 LVTS12] - !! They are calculated together (to reduce the number of - !! Fourier calls) for a list of Fermi energies, and stored - !! in axial-vector form. - ! ! - !=========================================================! - - use w90_constants, only : dp,cmplx_0,cmplx_i - use w90_utility, only : utility_re_tr,utility_im_tr - use w90_parameters, only : num_wann,nfermi - use w90_postw90_common, only : pw90common_fourier_R_to_k_vec,pw90common_fourier_R_to_k - use w90_wan_ham, only : wham_get_eig_UU_HH_JJlist,wham_get_occ_mat_list - use w90_get_oper, only : AA_R,BB_R,CC_R - - ! Arguments - ! - real(kind=dp), intent(in) :: kpt(3) - real(kind=dp), intent(out), dimension(:,:,:) :: imf_k_list - real(kind=dp), intent(out), dimension(:,:,:) :: img_k_list - real(kind=dp), intent(out), dimension(:,:,:) :: imh_k_list - - complex(kind=dp), allocatable :: HH(:,:) - complex(kind=dp), allocatable :: UU(:,:) - complex(kind=dp), allocatable :: f_list(:,:,:) - complex(kind=dp), allocatable :: g_list(:,:,:) - complex(kind=dp), allocatable :: AA(:,:,:) - complex(kind=dp), allocatable :: BB(:,:,:) - complex(kind=dp), allocatable :: CC(:,:,:,:) - complex(kind=dp), allocatable :: OOmega(:,:,:) - complex(kind=dp), allocatable :: LLambda_i(:,:) - complex(kind=dp), allocatable :: JJp_list(:,:,:,:) - complex(kind=dp), allocatable :: JJm_list(:,:,:,:) - complex(kind=dp), allocatable :: mdum(:,:) - real(kind=dp) :: eig(num_wann) - integer :: i,j,if - - allocate(HH(num_wann,num_wann)) - allocate(UU(num_wann,num_wann)) - allocate(f_list(num_wann,num_wann,nfermi)) - allocate(g_list(num_wann,num_wann,nfermi)) - allocate(JJp_list(num_wann,num_wann,nfermi,3)) - allocate(JJm_list(num_wann,num_wann,nfermi,3)) - allocate(AA(num_wann,num_wann,3)) - allocate(BB(num_wann,num_wann,3)) - allocate(CC(num_wann,num_wann,3,3)) - allocate(OOmega(num_wann,num_wann,3)) - allocate(LLambda_i(num_wann,num_wann)) - allocate(mdum(num_wann,num_wann)) - - ! Gather W-gauge matrix objects - ! - call wham_get_eig_UU_HH_JJlist(kpt,eig,UU,HH,JJp_list,JJm_list) - call wham_get_occ_mat_list(eig,UU,f_list,g_list) - - call pw90common_fourier_R_to_k_vec(kpt,AA_R,OO_true=AA,OO_pseudo=OOmega) - call pw90common_fourier_R_to_k_vec(kpt,BB_R,OO_true=BB) - do j=1,3 - do i=1,j - call pw90common_fourier_R_to_k(kpt,CC_R(:,:,:,i,j),CC(:,:,i,j),0) - CC(:,:,j,i)=conjg(transpose(CC(:,:,i,j))) - enddo - enddo - - ! Trace formula for -2Im[f], Eq.(51) LVTS12 - ! - do if=1,nfermi - do i=1,3 - ! - ! J0 term (Omega_bar term of WYSV06) - mdum=matmul(f_list(:,:,if),OOmega(:,:,i)) - imf_k_list(1,i,if)=utility_re_tr(mdum) - ! - ! J1 term (DA term of WYSV06) - mdum =matmul(AA(:,:,alpha_A(i)),JJp_list(:,:,if,beta_A(i)))& - +matmul(JJm_list(:,:,if,alpha_A(i)),AA(:,:,beta_A(i))) - imf_k_list(2,i,if)=-2.0_dp*utility_im_tr(mdum) - ! - ! J2 term (DD of WYSV06) - mdum=matmul(JJm_list(:,:,if,alpha_A(i)),JJp_list(:,:,if,beta_A(i))) - imf_k_list(3,i,if)=-2.0_dp*utility_im_tr(mdum) - ! - end do - enddo - - ! Trace formula for -2Im[g], Eq.(66) LVTS12 - ! - do i=1,3 - ! - ! J0 term - ! LLambda_ij [Eq. (37) LVTS12] expressed as a pseudovector - LLambda_i=cmplx_i*(CC(:,:,alpha_A(i),beta_A(i))& - -conjg(transpose(CC(:,:,alpha_A(i),beta_A(i))))) - do if=1,nfermi - mdum=matmul(f_list(:,:,if),LLambda_i) - img_k_list(1,i,if)=utility_re_tr(mdum) - mdum=matmul(f_list(:,:,if),matmul(HH,matmul(AA(:,:,alpha_A(i)),& - matmul(f_list(:,:,if),AA(:,:,beta_A(i)))))) - img_k_list(1,i,if)=img_k_list(1,i,if)-2.0_dp*utility_im_tr(mdum) - ! - ! J1 term - mdum=matmul(JJm_list(:,:,if,alpha_A(i)),BB(:,:,beta_A(i)))& - -matmul(JJm_list(:,:,if,beta_A(i)),BB(:,:,alpha_A(i))) - img_k_list(2,i,if)=-2.0_dp*utility_im_tr(mdum) - ! - ! J2 term - mdum=matmul(JJm_list(:,:,if,alpha_A(i)),& - matmul(HH,JJp_list(:,:,if,beta_A(i)))) - img_k_list(3,i,if)=-2.0_dp*utility_im_tr(mdum) - enddo - enddo - - ! Trace formula for -2Im[h], Eq.(56) LVTS12 - ! - do if=1,nfermi - do i=1,3 - ! - ! J0 term - mdum=matmul(f_list(:,:,if),matmul(HH,OOmega(:,:,i))) - imh_k_list(1,i,if)=utility_re_tr(mdum) - mdum=matmul(f_list(:,:,if),matmul(HH,matmul(AA(:,:,alpha_A(i)),& - matmul(f_list(:,:,if),AA(:,:,beta_A(i)))))) - imh_k_list(1,i,if)=imh_k_list(1,i,if)+2.0_dp*utility_im_tr(mdum) - ! - ! J1 term - mdum=matmul(HH,matmul(AA(:,:,alpha_A(i)),JJp_list(:,:,if,beta_A(i))))& - +matmul(HH,matmul(JJm_list(:,:,if,alpha_A(i)),AA(:,:,beta_A(i)))) - imh_k_list(2,i,if)=-2.0_dp*utility_im_tr(mdum) - ! - ! J2 term - mdum=matmul(HH,matmul(JJm_list(:,:,if,alpha_A(i)),& - JJp_list(:,:,if,beta_A(i)))) - imh_k_list(3,i,if)=-2.0_dp*utility_im_tr(mdum) - ! - enddo - enddo - - end subroutine berry_get_imfgh_klist - - - !===========================================================! - ! PRIVATE PROCEDURES ! - !===========================================================! - - subroutine berry_get_kubo_k(kpt,kubo_H_k,kubo_AH_k,jdos_k,& - kubo_H_k_spn,kubo_AH_k_spn,jdos_k_spn) - !====================================================================! - ! ! - !! Contribution from point k to the complex interband optical - !! conductivity, separated into Hermitian (H) and anti-Hermitian (AH) - !! parts. Also returns the joint density of states - ! ! - !====================================================================! - - use w90_constants, only : dp,cmplx_0,cmplx_i,pi - use w90_utility, only : utility_diagonalize,utility_rotate,utility_w0gauss - use w90_parameters, only : num_wann,kubo_nfreq,kubo_freq_list,& - fermi_energy_list,kubo_eigval_max,& - kubo_adpt_smr,kubo_smr_fixed_en_width,& - kubo_adpt_smr_max,kubo_adpt_smr_fac,& - kubo_smr_index,berry_kmesh,spin_decomp - use w90_postw90_common, only : pw90common_get_occ,pw90common_fourier_R_to_k_new,& - pw90common_fourier_R_to_k_vec,pw90common_kmesh_spacing - use w90_wan_ham, only : wham_get_D_h,wham_get_eig_deleig - use w90_get_oper, only : HH_R,AA_R - use w90_spin, only : spin_get_nk - - ! Arguments - ! - ! Last three arguments should be present iff spin_decomp=T (but - ! this is not checked: do it?) - ! - real(kind=dp), intent(in) :: kpt(3) - complex(kind=dp), dimension(:,:,:), intent(out) :: kubo_H_k - complex(kind=dp), dimension(:,:,:), intent(out) :: kubo_AH_k - real(kind=dp), dimension(:), intent(out) :: jdos_k - complex(kind=dp), optional, dimension(:,:,:,:), intent(out) :: kubo_H_k_spn - complex(kind=dp), optional, dimension(:,:,:,:), intent(out) :: kubo_AH_k_spn - real(kind=dp), optional, dimension(:,:), intent(out) :: jdos_k_spn - - complex(kind=dp), allocatable :: HH(:,:) - complex(kind=dp), allocatable :: delHH(:,:,:) - complex(kind=dp), allocatable :: UU(:,:) - complex(kind=dp), allocatable :: D_h(:,:,:) - complex(kind=dp), allocatable :: AA(:,:,:) - - ! Adaptive smearing - ! - real(kind=dp) :: del_eig(num_wann,3),joint_level_spacing,& - eta_smr,Delta_k,arg,vdum(3) - - integer :: i,j,n,m,ifreq,ispn - real(kind=dp) :: eig(num_wann),occ(num_wann),delta,& - rfac1,rfac2,occ_prod,spn_nk(num_wann) - complex(kind=dp) :: cfac,omega - - allocate(HH(num_wann,num_wann)) - allocate(delHH(num_wann,num_wann,3)) - allocate(UU(num_wann,num_wann)) - allocate(D_h(num_wann,num_wann,3)) - allocate(AA(num_wann,num_wann,3)) - - if(kubo_adpt_smr) then - call wham_get_eig_deleig(kpt,eig,del_eig,HH,delHH,UU) - Delta_k=pw90common_kmesh_spacing(berry_kmesh) - else - call pw90common_fourier_R_to_k_new(kpt,HH_R,OO=HH,& - OO_dx=delHH(:,:,1),& - OO_dy=delHH(:,:,2),& - OO_dz=delHH(:,:,3)) - call utility_diagonalize(HH,num_wann,eig,UU) - endif - call pw90common_get_occ(eig,occ,fermi_energy_list(1)) - call wham_get_D_h(delHH,UU,eig,D_h) - - call pw90common_fourier_R_to_k_vec(kpt,AA_R,OO_true=AA) - do i=1,3 - AA(:,:,i)=utility_rotate(AA(:,:,i),UU,num_wann) - enddo - AA=AA+cmplx_i*D_h ! Eq.(25) WYSV06 - - ! Replace imaginary part of frequency with a fixed value - if(.not.kubo_adpt_smr .and. kubo_smr_fixed_en_width/=0.0_dp)& - kubo_freq_list=real(kubo_freq_list,dp)& - +cmplx_i*kubo_smr_fixed_en_width - - kubo_H_k=cmplx_0 - kubo_AH_k=cmplx_0 - jdos_k=0.0_dp - if(spin_decomp) then - call spin_get_nk(kpt,spn_nk) - kubo_H_k_spn=cmplx_0 - kubo_AH_k_spn=cmplx_0 - jdos_k_spn=0.0_dp - end if - do m=1,num_wann - do n=1,num_wann - if(n==m) cycle - if(eig(m)>kubo_eigval_max .or. eig(n)>kubo_eigval_max) cycle - if(spin_decomp) then - if(spn_nk(n)>=0 .and. spn_nk(m)>=0) then - ispn=1 ! up --> up transition - elseif(spn_nk(n)<0 .and. spn_nk(m)<0) then - ispn=2 ! down --> down - else - ispn=3 ! spin-flip - end if - end if - if(kubo_adpt_smr) then - ! Eq.(35) YWVS07 - vdum(:)=del_eig(m,:)-del_eig(n,:) - joint_level_spacing=sqrt(dot_product(vdum(:),vdum(:)))*Delta_k - eta_smr=min(joint_level_spacing*kubo_adpt_smr_fac,& - kubo_adpt_smr_max) - endif - rfac1=(occ(m)-occ(n))*(eig(m)-eig(n)) - occ_prod=occ(n)*(1.0_dp-occ(m)) - do ifreq=1,kubo_nfreq - ! - ! Complex frequency for the anti-Hermitian conductivity - ! - if(kubo_adpt_smr) then - omega=real(kubo_freq_list(ifreq),dp)+cmplx_i*eta_smr - else - omega=kubo_freq_list(ifreq) - endif - ! - ! Broadened delta function for the Hermitian conductivity and JDOS - ! - arg=(eig(m)-eig(n)-real(omega,dp))/eta_smr - ! If only Hermitean part were computed, could speed up - ! by inserting here 'if(abs(arg)>10.0_dp) cycle' - delta=utility_w0gauss(arg,kubo_smr_index)/eta_smr - ! - ! Lorentzian shape (for testing purposes) -! delta=1.0_dp/(1.0_dp+arg*arg)/pi -! delta=delta/eta_smr - ! - jdos_k(ifreq)=jdos_k(ifreq)+occ_prod*delta - if(spin_decomp)& - jdos_k_spn(ispn,ifreq)=jdos_k_spn(ispn,ifreq)+occ_prod*delta - cfac=cmplx_i*rfac1/(eig(m)-eig(n)-omega) - rfac2=-pi*rfac1*delta - do j=1,3 - do i=1,3 - kubo_H_k(i,j,ifreq)=kubo_H_k(i,j,ifreq)& - +rfac2*AA(n,m,i)*AA(m,n,j) - kubo_AH_k(i,j,ifreq)=kubo_AH_k(i,j,ifreq)& - +cfac*AA(n,m,i)*AA(m,n,j) - if(spin_decomp) then - kubo_H_k_spn(i,j,ispn,ifreq)=& - kubo_H_k_spn(i,j,ispn,ifreq)& - +rfac2*AA(n,m,i)*AA(m,n,j) - kubo_AH_k_spn(i,j,ispn,ifreq)=& - kubo_AH_k_spn(i,j,ispn,ifreq)& - +cfac*AA(n,m,i)*AA(m,n,j) - endif - enddo - enddo - enddo - enddo - enddo - - end subroutine berry_get_kubo_k - -end module w90_berry +!-*- mode: F90 -*-! +!------------------------------------------------------------! +! This file is distributed as part of the Wannier90 code and ! +! under the terms of the GNU General Public License. See the ! +! file `LICENSE' in the root directory of the Wannier90 ! +! distribution, or http://www.gnu.org/copyleft/gpl.txt ! +! ! +! The webpage of the Wannier90 code is www.wannier.org ! +! ! +! The Wannier90 code is hosted on GitHub: ! +! ! +! https://github.com/wannier-developers/wannier90 ! +!------------------------------------------------------------! + +! --------------------------------------------------------------- + +module w90_berry + !! This module computes various "Berry phase" related properties + !! + !! Key REFERENCES + !! + !! * WYSV06 = PRB 74, 195118 (2006) (anomalous Hall conductivity - AHC) + !! * YWVS07 = PRB 75, 195121 (2007) (Kubo frequency-dependent conductivity) + !! * LVTS12 = PRB 85, 014435 (2012) (orbital magnetization and AHC) + !! * CTVR06 = PRB 74, 024408 (2006) ( " " ) + ! --------------------------------------------------------------- + ! + ! * Undocumented, works for limited purposes only: + ! reading k-points and weights from file + + use w90_constants, only : dp + + implicit none + + private + + public :: berry_main,berry_get_imf_klist,berry_get_imfgh_klist + + ! Pseudovector <--> Antisymmetric tensor + ! + ! x <--> (y,z) + ! y <--> (z,x) + ! z <--> (x,y) + ! + integer, dimension(3), parameter :: alpha_A=(/ 2,3,1 /) + integer, dimension(3), parameter :: beta_A=(/ 3,1,2 /) + + ! Independent components of a symmetric tensor + ! + ! 1 <--> xx + ! 2 <--> yy + ! 3 <--> zz + ! 4 <--> xy + ! 5 <--> xz + ! 6 <--> yz + ! + integer, dimension(6), parameter :: alpha_S=(/ 1,2,3,1,1,2 /) + integer, dimension(6), parameter :: beta_S=(/ 1,2,3,2,3,3 /) + + + contains + + !===========================================================! + ! PUBLIC PROCEDURES ! + !===========================================================! + + subroutine berry_main + !============================================================! + ! ! + !! Computes the following quantities: + !! (i) Anomalous Hall conductivity (from Berry curvature) + !! (ii) Complex optical conductivity (Kubo-Greenwood) & JDOS + !! (iii) Orbital magnetization + ! ! + !============================================================! + + use w90_constants, only : dp,cmplx_0,elem_charge_SI,hbar_SI,& + eV_au,bohr + use w90_comms, only : on_root,num_nodes,my_node_id,comms_reduce + use w90_io, only : io_error,stdout,io_file_unit,seedname,& + io_stopwatch + use w90_postw90_common, only : nrpts,irvec,num_int_kpts_on_node,int_kpts,& + weight + use w90_parameters, only : timing_level,iprint,num_wann,berry_kmesh,& + berry_curv_adpt_kmesh,& + berry_curv_adpt_kmesh_thresh,& + wanint_kpoint_file,cell_volume,transl_inv,& + berry_task,berry_curv_unit,spin_decomp,& + kubo_nfreq,kubo_freq_list,nfermi,& + fermi_energy_list + use w90_get_oper, only : get_HH_R,get_AA_R,get_BB_R,get_CC_R,& + get_SS_R + + real(kind=dp), allocatable :: adkpt(:,:) + + ! AHC and orbital magnetization, calculated for a list of Fermi levels + ! + ! First index labels J0,J1,J2 terms, second labels the Cartesian component + ! + real(kind=dp) :: imf_k_list(3,3,nfermi),imf_list(3,3,nfermi),imf_list2(3,3,nfermi) + real(kind=dp) :: img_k_list(3,3,nfermi),img_list(3,3,nfermi) + real(kind=dp) :: imh_k_list(3,3,nfermi),imh_list(3,3,nfermi) + real(kind=dp) :: ahc_list(3,3,nfermi) + real(kind=dp) :: LCtil_list(3,3,nfermi),ICtil_list(3,3,nfermi),& + Morb_list(3,3,nfermi) + real(kind=dp) :: imf_k_list_dummy(3,3,nfermi) ! adaptive refinement of AHC + + ! Complex optical conductivity, dividided into Hermitean and + ! anti-Hermitean parts + ! + complex(kind=dp), allocatable :: kubo_H_k(:,:,:) + complex(kind=dp), allocatable :: kubo_H(:,:,:) + complex(kind=dp), allocatable :: kubo_AH_k(:,:,:) + complex(kind=dp), allocatable :: kubo_AH(:,:,:) + ! decomposition into up-up, down-down and spin-flip transitions + complex(kind=dp), allocatable :: kubo_H_k_spn(:,:,:,:) + complex(kind=dp), allocatable :: kubo_H_spn(:,:,:,:) + complex(kind=dp), allocatable :: kubo_AH_k_spn(:,:,:,:) + complex(kind=dp), allocatable :: kubo_AH_spn(:,:,:,:) + + ! Joint density of states + ! + real(kind=dp), allocatable :: jdos_k(:) + real(kind=dp), allocatable :: jdos(:) + ! decomposition into up-up, down-down and spin-flip transitions + real(kind=dp), allocatable :: jdos_k_spn(:,:) + real(kind=dp), allocatable :: jdos_spn(:,:) + + real(kind=dp) :: kweight,kweight_adpt,kpt(3),kpt_ad(3),& + db1,db2,db3,fac,freq,rdum,vdum(3) + integer :: n,i,j,k,ikpt,if,ispn,ierr,loop_x,loop_y,loop_z,& + loop_xyz,loop_adpt,adpt_counter_list(nfermi),ifreq,& + file_unit + character(len=24) :: file_name + logical :: eval_ahc,eval_morb,eval_kubo,not_scannable + + if(nfermi==0) call io_error(& + 'Must specify one or more Fermi levels when berry=true') + + if (timing_level>1.and.on_root) call io_stopwatch('berry: prelims',1) + + ! Mesh spacing in reduced coordinates + ! + db1=1.0_dp/real(berry_kmesh(1),dp) + db2=1.0_dp/real(berry_kmesh(2),dp) + db3=1.0_dp/real(berry_kmesh(3),dp) + + eval_ahc=.false. + eval_morb=.false. + eval_kubo=.false. + if(index(berry_task,'ahc')>0) eval_ahc=.true. + if(index(berry_task,'morb')>0) eval_morb=.true. + if(index(berry_task,'kubo')>0) eval_kubo=.true. + + ! Wannier matrix elements, allocations and initializations + ! + if(eval_ahc) then + call get_HH_R + call get_AA_R + imf_list=0.0_dp + adpt_counter_list=0 + endif + + if(eval_morb) then + call get_HH_R + call get_AA_R + call get_BB_R + call get_CC_R + imf_list2=0.0_dp + img_list=0.0_dp + imh_list=0.0_dp + endif + + ! List here berry_tasks that assume nfermi=1 + ! + not_scannable=eval_kubo + if(not_scannable .and. nfermi.ne.1) call io_error(& + 'The berry_task(s) you chose require that you specify a single '& + //'Fermi energy: scanning the Fermi energy is not implemented') + + if(eval_kubo) then + call get_HH_R + call get_AA_R + allocate(kubo_H_k(3,3,kubo_nfreq)) + allocate(kubo_H(3,3,kubo_nfreq)) + allocate(kubo_AH_k(3,3,kubo_nfreq)) + allocate(kubo_AH(3,3,kubo_nfreq)) + allocate(jdos_k(kubo_nfreq)) + allocate(jdos(kubo_nfreq)) + kubo_H=cmplx_0 + kubo_AH=cmplx_0 + jdos=0.0_dp + if(spin_decomp) then + call get_SS_R + allocate(kubo_H_k_spn(3,3,3,kubo_nfreq)) + allocate(kubo_H_spn(3,3,3,kubo_nfreq)) + allocate(kubo_AH_k_spn(3,3,3,kubo_nfreq)) + allocate(kubo_AH_spn(3,3,3,kubo_nfreq)) + allocate(jdos_k_spn(3,kubo_nfreq)) + allocate(jdos_spn(3,kubo_nfreq)) + kubo_H_spn=cmplx_0 + kubo_AH_spn=cmplx_0 + jdos_spn=0.0_dp + endif + endif + + if(on_root) then + + write(stdout,'(/,/,1x,a)')& + 'Properties calculated in module b e r r y' + write(stdout,'(1x,a)')& + '------------------------------------------' + + if(eval_ahc) write(stdout,'(/,3x,a)')& + '* Anomalous Hall conductivity' + + if(eval_morb) write(stdout,'(/,3x,a)') '* Orbital magnetization' + + if(eval_kubo) then + if(spin_decomp) then + write(stdout,'(/,3x,a)')& + '* Complex optical conductivity and its spin-decomposition' + write(stdout,'(/,3x,a)')& + '* Joint density of states and its spin-decomposition' + else + write(stdout,'(/,3x,a)') '* Complex optical conductivity' + write(stdout,'(/,3x,a)') '* Joint density of states' + endif + endif + + if(transl_inv) then + if(eval_morb)& + call io_error('transl_inv=T disabled for morb') + write(stdout,'(/,1x,a)')& + 'Using a translationally-invariant discretization for the' + write(stdout,'(1x,a)')& + 'band-diagonal Wannier matrix elements of r, etc.' + endif + + if (timing_level>1) then + call io_stopwatch('berry: prelims',2) + call io_stopwatch('berry: k-interpolation',1) + endif + + end if !on_root + + ! Set up adaptive refinement mesh + ! + allocate(adkpt(3,berry_curv_adpt_kmesh**3),stat=ierr) + if (ierr/=0) call io_error('Error in allocating adkpt in berry') + ikpt=0 + ! + ! OLD VERSION (only works correctly for odd grids including original point) + ! + ! do i=-(berry_curv_adpt_kmesh-1)/2,(berry_curv_adpt_kmesh-1)/2 + ! do j=-(berry_curv_adpt_kmesh-1)/2,(berry_curv_adpt_kmesh-1)/2 + ! do k=-(berry_curv_adpt_kmesh-1)/2,(berry_curv_adpt_kmesh-1)/2 + ! ikpt=ikpt+1 + ! adkpt(1,ikpt)=i*db1/berry_curv_adpt_kmesh + ! adkpt(2,ikpt)=j*db2/berry_curv_adpt_kmesh + ! adkpt(3,ikpt)=k*db3/berry_curv_adpt_kmesh + ! end do + ! end do + ! end do + ! + ! NEW VERSION (both even and odd grids) + ! + do i=0,berry_curv_adpt_kmesh-1 + do j=0,berry_curv_adpt_kmesh-1 + do k=0,berry_curv_adpt_kmesh-1 + ikpt=ikpt+1 + adkpt(1,ikpt)=db1*((i+0.5_dp)/berry_curv_adpt_kmesh-0.5_dp) + adkpt(2,ikpt)=db2*((j+0.5_dp)/berry_curv_adpt_kmesh-0.5_dp) + adkpt(3,ikpt)=db3*((k+0.5_dp)/berry_curv_adpt_kmesh-0.5_dp) + end do + end do + end do + + ! Loop over interpolation k-points + ! + if(wanint_kpoint_file) then + + ! NOTE: still need to specify berry_kmesh in the input file + ! + ! - Must use the correct nominal value in order to + ! correctly set up adaptive smearing in kubo + + + if(on_root) write(stdout,'(/,1x,a,i10,a)')& + 'Reading interpolation grid from file kpoint.dat: ',& + sum(num_int_kpts_on_node),' points' + + ! Loop over k-points on the irreducible wedge of the Brillouin + ! zone, read from file 'kpoint.dat' + ! + do loop_xyz=1,num_int_kpts_on_node(my_node_id) + kpt(:)=int_kpts(:,loop_xyz) + kweight=weight(loop_xyz) + kweight_adpt=kweight/berry_curv_adpt_kmesh**3 + ! . + ! ***BEGIN COPY OF CODE BLOCK 1*** + ! + if(eval_ahc) then + call berry_get_imf_klist(kpt,imf_k_list) + do if=1,nfermi + vdum(1)=sum(imf_k_list(:,1,if)) + vdum(2)=sum(imf_k_list(:,2,if)) + vdum(3)=sum(imf_k_list(:,3,if)) + if(berry_curv_unit=='bohr2') vdum=vdum/bohr**2 + rdum=sqrt(dot_product(vdum,vdum)) + if(rdum>berry_curv_adpt_kmesh_thresh) then + adpt_counter_list(if)=adpt_counter_list(if)+1 + do loop_adpt=1,berry_curv_adpt_kmesh**3 + ! Using imf_k_list here would corrupt values for other + ! frequencies, hence dummy. Only if-th element is used + call berry_get_imf_klist(kpt(:)+adkpt(:,loop_adpt),& + imf_k_list_dummy) + imf_list(:,:,if)=imf_list(:,:,if)& + +imf_k_list_dummy(:,:,if)*kweight_adpt + end do + else + imf_list(:,:,if)=imf_list(:,:,if)+imf_k_list(:,:,if)*kweight + endif + enddo + end if + + if(eval_morb) then + call berry_get_imfgh_klist(kpt,imf_k_list,img_k_list,imh_k_list) + imf_list2=imf_list2+imf_k_list*kweight + img_list=img_list+img_k_list*kweight + imh_list=imh_list+imh_k_List*kweight + endif + + if(eval_kubo) then + if(spin_decomp) then + call berry_get_kubo_k(kpt,kubo_H_k,kubo_AH_k,jdos_k,& + kubo_H_k_spn,kubo_AH_k_spn,jdos_k_spn) + else + call berry_get_kubo_k(kpt,kubo_H_k,kubo_AH_k,jdos_k) + endif + kubo_H=kubo_H+kubo_H_k*kweight + kubo_AH=kubo_AH+kubo_AH_k*kweight + jdos=jdos+jdos_k*kweight + if(spin_decomp) then + kubo_H_spn=kubo_H_spn+kubo_H_k_spn*kweight + kubo_AH_spn=kubo_AH_spn+kubo_AH_k_spn*kweight + jdos_spn=jdos_spn+jdos_k_spn*kweight + endif + endif + ! + ! ***END COPY OF CODE BLOCK 1*** + + end do !loop_xyz + + else ! Do not read 'kpoint.dat'. Loop over a regular grid in the full BZ + + kweight=db1*db2*db3 + kweight_adpt=kweight/berry_curv_adpt_kmesh**3 + + do loop_xyz=my_node_id,PRODUCT(berry_kmesh)-1,num_nodes + loop_x= loop_xyz/(berry_kmesh(2)*berry_kmesh(3)) + loop_y=(loop_xyz-loop_x*(berry_kmesh(2)& + *berry_kmesh(3)))/berry_kmesh(3) + loop_z=loop_xyz-loop_x*(berry_kmesh(2)*berry_kmesh(3))& + -loop_y*berry_kmesh(3) + kpt(1)=loop_x*db1 + kpt(2)=loop_y*db2 + kpt(3)=loop_z*db3 + + ! ***BEGIN CODE BLOCK 1*** + ! + if(eval_ahc) then + call berry_get_imf_klist(kpt,imf_k_list) + do if=1,nfermi + vdum(1)=sum(imf_k_list(:,1,if)) + vdum(2)=sum(imf_k_list(:,2,if)) + vdum(3)=sum(imf_k_list(:,3,if)) + if(berry_curv_unit=='bohr2') vdum=vdum/bohr**2 + rdum=sqrt(dot_product(vdum,vdum)) + if(rdum>berry_curv_adpt_kmesh_thresh) then + adpt_counter_list(if)=adpt_counter_list(if)+1 + do loop_adpt=1,berry_curv_adpt_kmesh**3 + ! Using imf_k_list here would corrupt values for other + ! frequencies, hence dummy. Only if-th element is used + call berry_get_imf_klist(kpt(:)+adkpt(:,loop_adpt),& + imf_k_list_dummy) + imf_list(:,:,if)=imf_list(:,:,if)& + +imf_k_list_dummy(:,:,if)*kweight_adpt + end do + else + imf_list(:,:,if)=imf_list(:,:,if)+imf_k_list(:,:,if)*kweight + endif + enddo + end if + + if(eval_morb) then + call berry_get_imfgh_klist(kpt,imf_k_list,img_k_list,imh_k_list) + imf_list2=imf_list2+imf_k_list*kweight + img_list=img_list+img_k_list*kweight + imh_list=imh_list+imh_k_List*kweight + endif + + if(eval_kubo) then + if(spin_decomp) then + call berry_get_kubo_k(kpt,kubo_H_k,kubo_AH_k,jdos_k,& + kubo_H_k_spn,kubo_AH_k_spn,jdos_k_spn) + else + call berry_get_kubo_k(kpt,kubo_H_k,kubo_AH_k,jdos_k) + endif + kubo_H=kubo_H+kubo_H_k*kweight + kubo_AH=kubo_AH+kubo_AH_k*kweight + jdos=jdos+jdos_k*kweight + if(spin_decomp) then + kubo_H_spn=kubo_H_spn+kubo_H_k_spn*kweight + kubo_AH_spn=kubo_AH_spn+kubo_AH_k_spn*kweight + jdos_spn=jdos_spn+jdos_k_spn*kweight + endif + endif + ! + ! ***END CODE BLOCK 1*** + + end do !loop_xyz + + end if !wanint_kpoint_file + + ! Collect contributions from all nodes + ! + if(eval_ahc) then + call comms_reduce(imf_list(1,1,1),3*3*nfermi,'SUM') + call comms_reduce(adpt_counter_list(1),nfermi,'SUM') + endif + + if(eval_morb) then + call comms_reduce(imf_list2(1,1,1),3*3*nfermi,'SUM') + call comms_reduce(img_list(1,1,1),3*3*nfermi,'SUM') + call comms_reduce(imh_list(1,1,1),3*3*nfermi,'SUM') + end if + + if(eval_kubo) then + call comms_reduce(kubo_H(1,1,1),3*3*kubo_nfreq,'SUM') + call comms_reduce(kubo_AH(1,1,1),3*3*kubo_nfreq,'SUM') + call comms_reduce(jdos(1),kubo_nfreq,'SUM') + if(spin_decomp) then + call comms_reduce(kubo_H_spn(1,1,1,1),3*3*3*kubo_nfreq,'SUM') + call comms_reduce(kubo_AH_spn(1,1,1,1),3*3*3*kubo_nfreq,'SUM') + call comms_reduce(jdos_spn(1,1),3*kubo_nfreq,'SUM') + endif + endif + + if(on_root) then + + if (timing_level>1) call io_stopwatch('berry: k-interpolation',2) + write(stdout,'(1x,a)') ' ' + if(eval_ahc .and. berry_curv_adpt_kmesh.ne.1) then + if(.not.wanint_kpoint_file) write(stdout, '(1x,a28,3(i0,1x))')& + 'Regular interpolation grid: ',berry_kmesh + write(stdout, '(1x,a28,3(i0,1x))') 'Adaptive refinement grid: ',& + berry_curv_adpt_kmesh,berry_curv_adpt_kmesh,berry_curv_adpt_kmesh + if(berry_curv_unit=='ang2') then + write(stdout, '(1x,a28,a17,f6.2,a)')& + 'Refinement threshold: ','Berry curvature >',& + berry_curv_adpt_kmesh_thresh,' Ang^2' + elseif(berry_curv_unit=='bohr2') then + write(stdout, '(1x,a28,a17,f6.2,a)')& + 'Refinement threshold: ','Berry curvature >',& + berry_curv_adpt_kmesh_thresh,' bohr^2' + endif + if(nfermi==1) then + if(wanint_kpoint_file) then + write(stdout,'(1x,a30,i5,a,f5.2,a)')& + ' Points triggering refinement: ',& + adpt_counter_list(1),'(',& + 100*real(adpt_counter_list(1),dp)& + /sum(num_int_kpts_on_node),'%)' + else + write(stdout,'(1x,a30,i5,a,f5.2,a)')& + ' Points triggering refinement: ',& + adpt_counter_list(1),'(',& + 100*real(adpt_counter_list(1),dp)/product(berry_kmesh),'%)' + endif + endif + else + if(.not.wanint_kpoint_file) write(stdout, '(1x,a20,3(i0,1x))')& + 'Interpolation grid: ',berry_kmesh(1:3) + endif + + if(eval_ahc) then + ! + ! -------------------------------------------------------------------- + ! At this point imf contains + ! + ! (1/N) sum_k Omega_{alpha beta}(k), + ! + ! an approximation to + ! + ! V_c.int dk/(2.pi)^3 Omega_{alpha beta}(k) dk + ! + ! (V_c is the cell volume). We want + ! + ! sigma_{alpha beta}=-(e^2/hbar) int dk/(2.pi)^3 Omega(k) dk + ! + ! Hence need to multiply by -(e^2/hbar.V_c). + ! To get a conductivity in units of S/cm, + ! + ! (i) Divide by V_c to obtain (1/N) sum_k omega(k)/V_c, with units + ! of [L]^{-1} (Berry curvature Omega(k) has units of [L]^2) + ! (ii) [L] = Angstrom. Multiply by 10^8 to convert to (cm)^{-1} + ! (iii) Multiply by -e^2/hbar in SI, with has units ofconductance, + ! (Ohm)^{-1}, or Siemens (S), to get the final result in S/cm + ! + ! =========================== + ! fac = -e^2/(hbar.V_c*10^-8) + ! =========================== + ! + ! with 'V_c' in Angstroms^3, and 'e', 'hbar' in SI units + ! -------------------------------------------------------------------- + ! + fac=-1.0e8_dp*elem_charge_SI**2/(hbar_SI*cell_volume) + ahc_list(:,:,:)=imf_list(:,:,:)*fac + if(nfermi>1) then + write(stdout,'(/,1x,a)')& + '---------------------------------' + write(stdout,'(1x,a)')& + 'Output data files related to AHC:' + write(stdout,'(1x,a)')& + '---------------------------------' + file_name=trim(seedname)//'-ahc-fermiscan.dat' + write(stdout,'(/,3x,a)') '* '//file_name + file_unit=io_file_unit() + open(file_unit,FILE=file_name,STATUS='UNKNOWN',FORM='FORMATTED') + endif + do if=1,nfermi + if(nfermi>1) write(file_unit,'(4(F12.6,1x))')& + fermi_energy_list(if),sum(ahc_list(:,1,if)),& + sum(ahc_list(:,2,if)),sum(ahc_list(:,3,if)) + write(stdout,'(/,1x,a18,F10.4)') 'Fermi energy (ev):',& + fermi_energy_list(if) + if(nfermi>1) then + if(wanint_kpoint_file) then + write(stdout,'(1x,a30,i5,a,f5.2,a)')& + ' Points triggering refinement: ',& + adpt_counter_list(if),'(',& + 100*real(adpt_counter_list(if),dp)& + /sum(num_int_kpts_on_node),'%)' + else + write(stdout,'(1x,a30,i5,a,f5.2,a)')& + ' Points triggering refinement: ',& + adpt_counter_list(if),'(',& + 100*real(adpt_counter_list(if),dp)& + /product(berry_kmesh),'%)' + endif + endif + write(stdout,'(/,1x,a)')& + 'AHC (S/cm) x y z' + if(iprint>1) then + write(stdout,'(1x,a)')& + '==========' + write(stdout,'(1x,a9,2x,3(f10.4,1x))') 'J0 term :',& + ahc_list(1,1,if),ahc_list(1,2,if),ahc_list(1,3,if) + write(stdout,'(1x,a9,2x,3(f10.4,1x))') 'J1 term :',& + ahc_list(2,1,if),ahc_list(2,2,if),ahc_list(2,3,if) + write(stdout,'(1x,a9,2x,3(f10.4,1x))') 'J2 term :',& + ahc_list(3,1,if),ahc_list(3,2,if),ahc_list(3,3,if) + write(stdout,'(1x,a)')& + '-------------------------------------------' + write(stdout,'(1x,a9,2x,3(f10.4,1x),/)') 'Total :',& + sum(ahc_list(:,1,if)),sum(ahc_list(:,2,if)),& + sum(ahc_list(:,3,if)) + else + write(stdout,'(1x,a10,1x,3(f10.4,1x),/)') '==========',& + sum(ahc_list(:,1,if)),sum(ahc_list(:,2,if)),& + sum(ahc_list(:,3,if)) + endif + enddo + if(nfermi>1) close(file_unit) + endif + + if(eval_morb) then + ! + ! -------------------------------------------------------------------- + ! At this point X=img_ab(:)-fermi_energy*imf_ab(:) and + ! Y=imh_ab(:)-fermi_energy*imf_ab(:) + ! contain, eg, + ! + ! (1/N) sum_k X(k), where X(k)=-2*Im[g(k)-E_F.f(k)] + ! + ! This is an approximation to + ! + ! V_c.int dk/(2.pi)^3 X(k) dk + ! + ! (V_c is the cell volume). We want a magnetic moment per cell, + ! in units of the Bohr magneton. The magnetization-like quantity is + ! + ! \tilde{M}^LC=-(e/2.hbar) int dk/(2.pi)^3 X(k) dk + ! + ! So we take X and + ! + ! (i) The summand is an energy in eV times a Berry curvature in + ! Ang^2. To convert to a.u., divide by 27.2 and by 0.529^2 + ! (ii) Multiply by -(e/2.hbar)=-1/2 in atomic units + ! (iii) At this point we have a magnetic moment (per cell) in atomic + ! units. 1 Bohr magneton = 1/2 atomic unit, so need to multiply + ! by 2 to convert it to Bohr magnetons + ! -------------------------------------------------------------------- + ! + fac=-eV_au/bohr**2 + if(nfermi>1) then + write(stdout,'(/,1x,a)')& + '---------------------------------' + write(stdout,'(1x,a)')& + 'Output data files related to the orbital magnetization:' + write(stdout,'(1x,a)')& + '---------------------------------' + file_name=trim(seedname)//'-morb-fermiscan.dat' + write(stdout,'(/,3x,a)') '* '//file_name + file_unit=io_file_unit() + open(file_unit,FILE=file_name,STATUS='UNKNOWN',FORM='FORMATTED') + endif + do if=1,nfermi + LCtil_list(:,:,if)=(img_list(:,:,if)& + -fermi_energy_list(if)*imf_list2(:,:,if))*fac + ICtil_list(:,:,if)=(imh_list(:,:,if)& + -fermi_energy_list(if)*imf_list2(:,:,if))*fac + Morb_list(:,:,if)=LCtil_list(:,:,if)+ICtil_list(:,:,if) + if(nfermi>1) write(file_unit,'(4(F12.6,1x))')& + fermi_energy_list(if),sum(Morb_list(1:3,1,if)),& + sum(Morb_list(1:3,2,if)),sum(Morb_list(1:3,3,if)) + write(stdout,'(/,/,1x,a,F12.6)') 'Fermi energy (ev) =',& + fermi_energy_list(if) + write(stdout,'(/,/,1x,a)')& + 'M_orb (bohr magn/cell) x y z' + if(iprint>1) then + write(stdout,'(1x,a)')& + '======================' + write(stdout,'(1x,a22,2x,3(f10.4,1x))') 'Local circulation :',& + sum(LCtil_list(1:3,1,if)),sum(LCtil_list(1:3,2,if)),& + sum(LCtil_list(1:3,3,if)) + write(stdout,'(1x,a22,2x,3(f10.4,1x))')& + 'Itinerant circulation:',& + sum(ICtil_list(1:3,1,if)),sum(ICtil_list(1:3,2,if)),& + sum(ICtil_list(1:3,3,if)) + write(stdout,'(1x,a)')& + '--------------------------------------------------------' + write(stdout,'(1x,a22,2x,3(f10.4,1x),/)') 'Total :',& + sum(Morb_list(1:3,1,if)),sum(Morb_list(1:3,2,if)),& + sum(Morb_list(1:3,3,if)) + else + write(stdout,'(1x,a22,2x,3(f10.4,1x),/)')& + '======================',& + sum(Morb_list(1:3,1,if)),sum(Morb_list(1:3,2,if)),& + sum(Morb_list(1:3,3,if)) + endif + enddo + if(nfermi>1) close(file_unit) + endif + + ! -----------------------------! + ! Complex optical conductivity ! + ! -----------------------------! + ! + if(eval_kubo) then + ! + ! Convert to S/cm + fac=1.0e8_dp*elem_charge_SI**2/(hbar_SI*cell_volume) + kubo_H=kubo_H*fac + kubo_AH=kubo_AH*fac + if(spin_decomp) then + kubo_H_spn=kubo_H_spn*fac + kubo_AH_spn=kubo_AH_spn*fac + endif + ! + write(stdout,'(/,1x,a)')& + '----------------------------------------------------------' + write(stdout,'(1x,a)')& + 'Output data files related to complex optical conductivity:' + write(stdout,'(1x,a)')& + '----------------------------------------------------------' + ! + ! Symmetric: real (imaginary) part is Hermitean (anti-Hermitean) + ! + do n=1,6 + i=alpha_S(n) + j=beta_S(n) + file_name= trim(seedname)//'-kubo_S_'//& + achar(119+i)//achar(119+j)//'.dat' + file_name=trim(file_name) + file_unit=io_file_unit() + write(stdout,'(/,3x,a)') '* '//file_name + open(file_unit,FILE=file_name,STATUS='UNKNOWN',FORM='FORMATTED') + do ifreq=1,kubo_nfreq + if(spin_decomp) then + write(file_unit,'(9E16.8)') real(kubo_freq_list(ifreq),dp),& + real(0.5_dp*(kubo_H(i,j,ifreq)+kubo_H(j,i,ifreq)),dp),& + aimag(0.5_dp*(kubo_AH(i,j,ifreq)+kubo_AH(j,i,ifreq))),& + real(0.5_dp*(kubo_H_spn(i,j,1,ifreq)& + +kubo_H_spn(j,i,1,ifreq)),dp),& + aimag(0.5_dp*(kubo_AH_spn(i,j,1,ifreq)& + +kubo_AH_spn(j,i,1,ifreq))),& + real(0.5_dp*(kubo_H_spn(i,j,2,ifreq)& + +kubo_H_spn(j,i,2,ifreq)),dp),& + aimag(0.5_dp*(kubo_AH_spn(i,j,2,ifreq)& + +kubo_AH_spn(j,i,2,ifreq))),& + real(0.5_dp*(kubo_H_spn(i,j,3,ifreq)& + +kubo_H_spn(j,i,3,ifreq)),dp),& + aimag(0.5_dp*(kubo_AH_spn(i,j,3,ifreq)& + +kubo_AH_spn(j,i,3,ifreq))) + else + write(file_unit,'(3E16.8)') real(kubo_freq_list(ifreq),dp),& + real(0.5_dp*(kubo_H(i,j,ifreq)+kubo_H(j,i,ifreq)),dp),& + aimag(0.5_dp*(kubo_AH(i,j,ifreq)+kubo_AH(j,i,ifreq))) + endif + enddo + close(file_unit) + enddo + ! + ! Antisymmetric: real (imaginary) part is anti-Hermitean (Hermitean) + ! + do n=1,3 + i=alpha_A(n) + j=beta_A(n) + file_name= trim(seedname)//'-kubo_A_'//& + achar(119+i)//achar(119+j)//'.dat' + file_name=trim(file_name) + file_unit=io_file_unit() + write(stdout,'(/,3x,a)') '* '//file_name + open(file_unit,FILE=file_name,STATUS='UNKNOWN',FORM='FORMATTED') + do ifreq=1,kubo_nfreq + if(spin_decomp) then + write(file_unit,'(9E16.8)') real(kubo_freq_list(ifreq),dp),& + real(0.5_dp*(kubo_AH(i,j,ifreq)-kubo_AH(j,i,ifreq)),dp),& + aimag(0.5_dp*(kubo_H(i,j,ifreq)-kubo_H(j,i,ifreq))),& + real(0.5_dp*(kubo_AH_spn(i,j,1,ifreq)& + -kubo_AH_spn(j,i,1,ifreq)),dp),& + aimag(0.5_dp*(kubo_H_spn(i,j,1,ifreq)& + -kubo_H_spn(j,i,1,ifreq))),& + real(0.5_dp*(kubo_AH_spn(i,j,2,ifreq)& + -kubo_AH_spn(j,i,2,ifreq)),dp),& + aimag(0.5_dp*(kubo_H_spn(i,j,2,ifreq)& + -kubo_H_spn(j,i,2,ifreq))),& + real(0.5_dp*(kubo_AH_spn(i,j,3,ifreq)& + -kubo_AH_spn(j,i,3,ifreq)),dp),& + aimag(0.5_dp*(kubo_H_spn(i,j,3,ifreq)& + -kubo_H_spn(j,i,3,ifreq))) + else + write(file_unit,'(3E16.8)') real(kubo_freq_list(ifreq),dp),& + real(0.5_dp*(kubo_AH(i,j,ifreq)-kubo_AH(j,i,ifreq)),dp),& + aimag(0.5_dp*(kubo_H(i,j,ifreq)-kubo_H(j,i,ifreq))) + endif + enddo + close(file_unit) + enddo + ! + ! Joint density of states + ! + file_name=trim(seedname)//'-jdos.dat' + write(stdout,'(/,3x,a)') '* '//file_name + file_unit=io_file_unit() + open(file_unit,FILE=file_name,STATUS='UNKNOWN',FORM='FORMATTED') + do ifreq=1,kubo_nfreq + if(spin_decomp) then + write(file_unit,'(5E16.8)') real(kubo_freq_list(ifreq),dp),& + jdos(ifreq),jdos_spn(:,ifreq) + else + write(file_unit,'(2E16.8)') real(kubo_freq_list(ifreq),dp),& + jdos(ifreq) + endif + enddo + close(file_unit) + endif + + end if !on_root + + end subroutine berry_main + + + subroutine berry_get_imf_klist(kpt,imf_k_list) + !============================================================! + ! ! + !! Calculates the Berry curvature traced over the occupied + !! states, -2Im[f(k)] [Eq.33 CTVR06, Eq.6 LVTS12] for a list + !! of Fermi energies, and stores it in axial-vector form + ! ! + !============================================================! + ! Arguments + ! + real(kind=dp), intent(in) :: kpt(3) + real(kind=dp), intent(out), dimension(:,:,:) :: imf_k_list + + call berry_get_imfgh_klist(kpt,imf_k_list) + end subroutine berry_get_imf_klist + + + subroutine berry_get_imfgh_klist(kpt,imf_k_list,img_k_list,imh_k_list) + !=========================================================! + ! + !! Calculates the three quantities needed for the orbital + !! magnetization: + !! + !! * -2Im[f(k)] [Eq.33 CTVR06, Eq.6 LVTS12] + !! * -2Im[g(k)] [Eq.34 CTVR06, Eq.7 LVTS12] + !! * -2Im[h(k)] [Eq.35 CTVR06, Eq.8 LVTS12] + !! They are calculated together (to reduce the number of + !! Fourier calls) for a list of Fermi energies, and stored + !! in axial-vector form. + ! + ! The two optional output parameters 'imh_k_list' and + ! 'img_k_list' are only calculated if both of them are + ! present. + ! + !=========================================================! + + use w90_constants, only : dp,cmplx_0,cmplx_i + use w90_utility, only : utility_re_tr_prod,utility_im_tr_prod + use w90_parameters, only : num_wann,nfermi + use w90_postw90_common, only : pw90common_fourier_R_to_k_vec,pw90common_fourier_R_to_k + use w90_wan_ham, only : wham_get_eig_UU_HH_JJlist,wham_get_occ_mat_list + use w90_get_oper, only : AA_R,BB_R,CC_R + use w90_utility, only : utility_zgemm_new + + ! Arguments + ! + real(kind=dp), intent(in) :: kpt(3) + real(kind=dp), intent(out), dimension(:,:,:), optional & + :: imf_k_list, img_k_list, imh_k_list + + complex(kind=dp), allocatable :: HH(:,:) + complex(kind=dp), allocatable :: UU(:,:) + complex(kind=dp), allocatable :: f_list(:,:,:) + complex(kind=dp), allocatable :: g_list(:,:,:) + complex(kind=dp), allocatable :: AA(:,:,:) + complex(kind=dp), allocatable :: BB(:,:,:) + complex(kind=dp), allocatable :: CC(:,:,:,:) + complex(kind=dp), allocatable :: OOmega(:,:,:) + complex(kind=dp), allocatable :: JJp_list(:,:,:,:) + complex(kind=dp), allocatable :: JJm_list(:,:,:,:) + real(kind=dp) :: eig(num_wann) + integer :: i,j,ife + real(kind=dp) :: s + + ! Temporary space for matrix products + complex(kind=dp), allocatable, dimension(:,:,:) :: tmp + + allocate(HH(num_wann,num_wann)) + allocate(UU(num_wann,num_wann)) + allocate(f_list(num_wann,num_wann,nfermi)) + allocate(g_list(num_wann,num_wann,nfermi)) + allocate(JJp_list(num_wann,num_wann,nfermi,3)) + allocate(JJm_list(num_wann,num_wann,nfermi,3)) + allocate(AA(num_wann,num_wann,3)) + allocate(OOmega(num_wann,num_wann,3)) + + ! Gather W-gauge matrix objects + ! + call wham_get_eig_UU_HH_JJlist(kpt,eig,UU,HH,JJp_list,JJm_list) + call wham_get_occ_mat_list(eig,UU,f_list,g_list) + + call pw90common_fourier_R_to_k_vec(kpt,AA_R,OO_true=AA,OO_pseudo=OOmega) + + if(present(imf_k_list)) then + ! Trace formula for -2Im[f], Eq.(51) LVTS12 + ! + do ife=1,nfermi + do i=1,3 + ! + ! J0 term (Omega_bar term of WYSV06) + imf_k_list(1,i,ife) = & + utility_re_tr_prod(f_list(:,:,ife), OOmega(:,:,i)) + ! + ! J1 term (DA term of WYSV06) + imf_k_list(2,i,ife) = -2.0_dp * & + ( & + utility_im_tr_prod(AA(:,:,alpha_A(i)), JJp_list(:,:,ife,beta_A(i))) & + + utility_im_tr_prod(JJm_list(:,:,ife,alpha_A(i)), AA(:,:,beta_A(i))) & + ) + ! + ! J2 term (DD of WYSV06) + imf_k_list(3,i,ife) = -2.0_dp * & + utility_im_tr_prod(JJm_list(:,:,ife,alpha_A(i)),JJp_list(:,:,ife,beta_A(i))) + end do + end do + end if + + if(present(img_k_list)) img_k_list = 0.0_dp + if(present(imh_k_list)) imh_k_list = 0.0_dp + + if(present(img_k_list) .and. present(imh_k_list)) then + allocate(BB(num_wann,num_wann,3)) + allocate(CC(num_wann,num_wann,3,3)) + + allocate(tmp(num_wann,num_wann,5)) + ! tmp(:,:,1:3) ... not dependent on inner loop variables + ! tmp(:,:,1) ..... HH . AA(:,:,alpha_A(i)) + ! tmp(:,:,2) ..... LLambda_ij [Eq. (37) LVTS12] expressed as a pseudovector + ! tmp(:,:,3) ..... HH . OOmega(:,:,i) + ! tmp(:,:,4:5) ... working matrices for matrix products of inner loop + + call pw90common_fourier_R_to_k_vec(kpt,BB_R,OO_true=BB) + do j=1,3 + do i=1,j + call pw90common_fourier_R_to_k(kpt,CC_R(:,:,:,i,j),CC(:,:,i,j),0) + CC(:,:,j,i)=conjg(transpose(CC(:,:,i,j))) + end do + end do + + ! Trace formula for -2Im[g], Eq.(66) LVTS12 + ! Trace formula for -2Im[h], Eq.(56) LVTS12 + ! + do i=1,3 + call utility_zgemm_new(HH, AA(:,:,alpha_A(i)), tmp(:,:,1)) + call utility_zgemm_new(HH, OOmega(:,:,i), tmp(:,:,3)) + ! + ! LLambda_ij [Eq. (37) LVTS12] expressed as a pseudovector + tmp(:,:,2) = cmplx_i*(CC(:,:,alpha_A(i),beta_A(i))& + -conjg(transpose(CC(:,:,alpha_A(i),beta_A(i))))) + + do ife=1,nfermi + ! + ! J0 terms for -2Im[g] and -2Im[h] + ! + ! tmp(:,:,5) = HH . AA(:,:,alpha_A(i)) . f_list(:,:,ife) . AA(:,:,beta_A(i)) + call utility_zgemm_new(tmp(:,:,1), f_list(:,:,ife), tmp(:,:,4)) + call utility_zgemm_new(tmp(:,:,4), AA(:,:,beta_A(i)), tmp(:,:,5)) + + s = 2.0_dp * utility_im_tr_prod(f_list(:,:,ife), tmp(:,:,5)); + img_k_list(1,i,ife) = utility_re_tr_prod(f_list(:,:,ife), tmp(:,:,2)) - s + imh_k_list(1,i,ife) = utility_re_tr_prod(f_list(:,:,ife), tmp(:,:,3)) + s + + ! + ! J1 terms for -2Im[g] and -2Im[h] + ! + ! tmp(:,:,1) = HH . AA(:,:,alpha_A(i)) + ! tmp(:,:,4) = HH . JJm_list(:,:,ife,alpha_A(i)) + call utility_zgemm_new(HH, JJm_list(:,:,ife,alpha_A(i)), tmp(:,:,4)) + + img_k_list(2,i,ife) = -2.0_dp * & + ( & + utility_im_tr_prod(JJm_list(:,:,ife,alpha_A(i)),BB(:,:,beta_A(i))) & + - utility_im_tr_prod(JJm_list(:,:,ife,beta_A(i)),BB(:,:,alpha_A(i))) & + ) + imh_k_list(2,i,ife) = -2.0_dp * & + ( & + utility_im_tr_prod(tmp(:,:,1), JJp_list(:,:,ife,beta_A(i))) & + + utility_im_tr_prod(tmp(:,:,4), AA(:,:,beta_A(i))) & + ) + + ! + ! J2 terms for -2Im[g] and -2Im[h] + ! + ! tmp(:,:,4) = JJm_list(:,:,ife,alpha_A(i)) . HH + ! tmp(:,:,5) = HH . JJm_list(:,:,ife,alpha_A(i)) + call utility_zgemm_new(JJm_list(:,:,ife,alpha_A(i)), HH, tmp(:,:,4)) + call utility_zgemm_new(HH, JJm_list(:,:,ife,alpha_A(i)), tmp(:,:,5)) + + img_k_list(3,i,ife) = -2.0_dp * & + utility_im_tr_prod(tmp(:,:,4), JJp_list(:,:,ife,beta_A(i))) + imh_k_list(3,i,ife) = -2.0_dp * & + utility_im_tr_prod(tmp(:,:,5), JJp_list(:,:,ife,beta_A(i))) + end do + end do + deallocate(tmp) + end if + + end subroutine berry_get_imfgh_klist + + + !===========================================================! + ! PRIVATE PROCEDURES ! + !===========================================================! + + subroutine berry_get_kubo_k(kpt,kubo_H_k,kubo_AH_k,jdos_k,& + kubo_H_k_spn,kubo_AH_k_spn,jdos_k_spn) + !====================================================================! + ! ! + !! Contribution from point k to the complex interband optical + !! conductivity, separated into Hermitian (H) and anti-Hermitian (AH) + !! parts. Also returns the joint density of states + ! ! + !====================================================================! + + use w90_constants, only : dp,cmplx_0,cmplx_i,pi + use w90_utility, only : utility_diagonalize,utility_rotate,utility_w0gauss + use w90_parameters, only : num_wann,kubo_nfreq,kubo_freq_list,& + fermi_energy_list,kubo_eigval_max,& + kubo_adpt_smr,kubo_smr_fixed_en_width,& + kubo_adpt_smr_max,kubo_adpt_smr_fac,& + kubo_smr_index,berry_kmesh,spin_decomp + use w90_postw90_common, only : pw90common_get_occ,pw90common_fourier_R_to_k_new,& + pw90common_fourier_R_to_k_vec,pw90common_kmesh_spacing + use w90_wan_ham, only : wham_get_D_h,wham_get_eig_deleig + use w90_get_oper, only : HH_R,AA_R + use w90_spin, only : spin_get_nk + + ! Arguments + ! + ! Last three arguments should be present iff spin_decomp=T (but + ! this is not checked: do it?) + ! + real(kind=dp), intent(in) :: kpt(3) + complex(kind=dp), dimension(:,:,:), intent(out) :: kubo_H_k + complex(kind=dp), dimension(:,:,:), intent(out) :: kubo_AH_k + real(kind=dp), dimension(:), intent(out) :: jdos_k + complex(kind=dp), optional, dimension(:,:,:,:), intent(out) :: kubo_H_k_spn + complex(kind=dp), optional, dimension(:,:,:,:), intent(out) :: kubo_AH_k_spn + real(kind=dp), optional, dimension(:,:), intent(out) :: jdos_k_spn + + complex(kind=dp), allocatable :: HH(:,:) + complex(kind=dp), allocatable :: delHH(:,:,:) + complex(kind=dp), allocatable :: UU(:,:) + complex(kind=dp), allocatable :: D_h(:,:,:) + complex(kind=dp), allocatable :: AA(:,:,:) + + ! Adaptive smearing + ! + real(kind=dp) :: del_eig(num_wann,3),joint_level_spacing,& + eta_smr,Delta_k,arg,vdum(3) + + integer :: i,j,n,m,ifreq,ispn + real(kind=dp) :: eig(num_wann),occ(num_wann),delta,& + rfac1,rfac2,occ_prod,spn_nk(num_wann) + complex(kind=dp) :: cfac,omega + + allocate(HH(num_wann,num_wann)) + allocate(delHH(num_wann,num_wann,3)) + allocate(UU(num_wann,num_wann)) + allocate(D_h(num_wann,num_wann,3)) + allocate(AA(num_wann,num_wann,3)) + + if(kubo_adpt_smr) then + call wham_get_eig_deleig(kpt,eig,del_eig,HH,delHH,UU) + Delta_k=pw90common_kmesh_spacing(berry_kmesh) + else + call pw90common_fourier_R_to_k_new(kpt,HH_R,OO=HH,& + OO_dx=delHH(:,:,1),& + OO_dy=delHH(:,:,2),& + OO_dz=delHH(:,:,3)) + call utility_diagonalize(HH,num_wann,eig,UU) + endif + call pw90common_get_occ(eig,occ,fermi_energy_list(1)) + call wham_get_D_h(delHH,UU,eig,D_h) + + call pw90common_fourier_R_to_k_vec(kpt,AA_R,OO_true=AA) + do i=1,3 + AA(:,:,i)=utility_rotate(AA(:,:,i),UU,num_wann) + enddo + AA=AA+cmplx_i*D_h ! Eq.(25) WYSV06 + + ! Replace imaginary part of frequency with a fixed value + if(.not.kubo_adpt_smr .and. kubo_smr_fixed_en_width/=0.0_dp)& + kubo_freq_list=real(kubo_freq_list,dp)& + +cmplx_i*kubo_smr_fixed_en_width + + kubo_H_k=cmplx_0 + kubo_AH_k=cmplx_0 + jdos_k=0.0_dp + if(spin_decomp) then + call spin_get_nk(kpt,spn_nk) + kubo_H_k_spn=cmplx_0 + kubo_AH_k_spn=cmplx_0 + jdos_k_spn=0.0_dp + end if + do m=1,num_wann + do n=1,num_wann + if(n==m) cycle + if(eig(m)>kubo_eigval_max .or. eig(n)>kubo_eigval_max) cycle + if(spin_decomp) then + if(spn_nk(n)>=0 .and. spn_nk(m)>=0) then + ispn=1 ! up --> up transition + elseif(spn_nk(n)<0 .and. spn_nk(m)<0) then + ispn=2 ! down --> down + else + ispn=3 ! spin-flip + end if + end if + if(kubo_adpt_smr) then + ! Eq.(35) YWVS07 + vdum(:)=del_eig(m,:)-del_eig(n,:) + joint_level_spacing=sqrt(dot_product(vdum(:),vdum(:)))*Delta_k + eta_smr=min(joint_level_spacing*kubo_adpt_smr_fac,& + kubo_adpt_smr_max) + endif + rfac1=(occ(m)-occ(n))*(eig(m)-eig(n)) + occ_prod=occ(n)*(1.0_dp-occ(m)) + do ifreq=1,kubo_nfreq + ! + ! Complex frequency for the anti-Hermitian conductivity + ! + if(kubo_adpt_smr) then + omega=real(kubo_freq_list(ifreq),dp)+cmplx_i*eta_smr + else + omega=kubo_freq_list(ifreq) + endif + ! + ! Broadened delta function for the Hermitian conductivity and JDOS + ! + arg=(eig(m)-eig(n)-real(omega,dp))/eta_smr + ! If only Hermitean part were computed, could speed up + ! by inserting here 'if(abs(arg)>10.0_dp) cycle' + delta=utility_w0gauss(arg,kubo_smr_index)/eta_smr + ! + ! Lorentzian shape (for testing purposes) +! delta=1.0_dp/(1.0_dp+arg*arg)/pi +! delta=delta/eta_smr + ! + jdos_k(ifreq)=jdos_k(ifreq)+occ_prod*delta + if(spin_decomp)& + jdos_k_spn(ispn,ifreq)=jdos_k_spn(ispn,ifreq)+occ_prod*delta + cfac=cmplx_i*rfac1/(eig(m)-eig(n)-omega) + rfac2=-pi*rfac1*delta + do j=1,3 + do i=1,3 + kubo_H_k(i,j,ifreq)=kubo_H_k(i,j,ifreq)& + +rfac2*AA(n,m,i)*AA(m,n,j) + kubo_AH_k(i,j,ifreq)=kubo_AH_k(i,j,ifreq)& + +cfac*AA(n,m,i)*AA(m,n,j) + if(spin_decomp) then + kubo_H_k_spn(i,j,ispn,ifreq)=& + kubo_H_k_spn(i,j,ispn,ifreq)& + +rfac2*AA(n,m,i)*AA(m,n,j) + kubo_AH_k_spn(i,j,ispn,ifreq)=& + kubo_AH_k_spn(i,j,ispn,ifreq)& + +cfac*AA(n,m,i)*AA(m,n,j) + endif + enddo + enddo + enddo + enddo + enddo + + end subroutine berry_get_kubo_k + +end module w90_berry diff --git a/src/postw90/comms.F90 b/src/postw90/comms.F90 index 35115ebcf..b5a337bb8 100644 --- a/src/postw90/comms.F90 +++ b/src/postw90/comms.F90 @@ -97,6 +97,7 @@ module w90_comms interface comms_gatherv ! module procedure comms_gatherv_int ! to be done + module procedure comms_gatherv_logical module procedure comms_gatherv_real_1 module procedure comms_gatherv_real_2 module procedure comms_gatherv_real_3 @@ -958,6 +959,7 @@ end subroutine comms_gatherv_real_2_3 ! rootglobalarray: array on the root node to which data will be sent ! counts, displs : how data should be partitioned, see MPI documentation or ! function comms_array_split + subroutine comms_gatherv_cmplx_1(array,localcount,rootglobalarray,counts,displs) !! Gather complex data to root node (for arrays of rank 1) implicit none @@ -1014,6 +1016,12 @@ subroutine comms_gatherv_cmplx_2(array,localcount,rootglobalarray,counts,displs) end subroutine comms_gatherv_cmplx_2 + +!!JRY subroutine comms_gatherv_logical(array,localcount,rootglobalarray,counts,displs) +!! !! Gather real data to root node +!! implicit none + + subroutine comms_gatherv_cmplx_3(array,localcount,rootglobalarray,counts,displs) !! Gather complex data to root node (for arrays of rank 3) implicit none @@ -1070,11 +1078,36 @@ subroutine comms_gatherv_cmplx_3_4(array,localcount,rootglobalarray,counts,displ end subroutine comms_gatherv_cmplx_3_4 - ! Array: local array for getting data; localcount elements will be fetched - ! from the root node - ! rootglobalarray: array on the root node from which data will be sent - ! counts, displs : how data should be partitioned, see MPI documentation or - ! function comms_array_split + + subroutine comms_gatherv_logical(array,localcount,rootglobalarray,counts,displs) + !! Gather real data to root node + implicit none + + logical, intent(inout) :: array + !! local array for sending data + integer, intent(in) :: localcount + !! localcount elements will be sent to the root node + logical, intent(inout) :: rootglobalarray + !! array on the root node to which data will be sent + integer, dimension(num_nodes), intent(in) :: counts + !! how data should be partitioned, see MPI documentation or + !! function comms_array_split + integer, dimension(num_nodes), intent(in) :: displs + +#ifdef MPI + integer :: error + + call MPI_gatherv(array,localcount,MPI_logical,rootglobalarray,counts,& + displs,MPI_logical,root_id,mpi_comm_world,error) + + if(error.ne.MPI_success) then + call io_error('Error in comms_gatherv_logical') + end if +#else +! rootglobalarray(1:localcount)=array(1:localcount) +#endif + + end subroutine comms_gatherv_logical subroutine comms_scatterv_real_1(array,localcount,rootglobalarray,counts,displs) !! Scatter real data from root node (array of rank 1) diff --git a/src/postw90/get_oper.F90 b/src/postw90/get_oper.F90 index 81ef73a22..db3bf48b9 100644 --- a/src/postw90/get_oper.F90 +++ b/src/postw90/get_oper.F90 @@ -249,7 +249,7 @@ subroutine get_AA_R use w90_parameters, only : num_kpts,nntot,num_wann,wb,bk,timing_level,& num_bands,ndimwin,nnlist,have_disentangled,& transl_inv,nncell,effective_model - use w90_postw90_common, only : nrpts,v_matrix + use w90_postw90_common, only : nrpts use w90_io, only : stdout,io_file_unit,io_error,io_stopwatch,& seedname use w90_comms, only : on_root,comms_bcast @@ -258,7 +258,7 @@ subroutine get_AA_R complex(kind=dp), allocatable :: AA_q_diag(:,:) complex(kind=dp), allocatable :: S_o(:,:) complex(kind=dp), allocatable :: S(:,:) - integer :: n,m,i,ii,j,jj,winmin_q,winmin_qb,& + integer :: n,m,i,j,& ik,ik2,ik_prev,nn,inn,nnl,nnm,nnn,& idir,ncount,nn_count,mmn_in,& nb_tmp,nkp_tmp,nntot_tmp,file_unit,& @@ -419,22 +419,10 @@ subroutine get_AA_R ! Wannier-gauge overlap matrix S in the projected subspace ! - call get_win_min(ik,winmin_q) - call get_win_min(nnlist(ik,nn),winmin_qb) - S=cmplx_0 - do m=1,num_wann - do n=1,num_wann - do i=1,num_states(ik) - ii=winmin_q+i-1 - do j=1,num_states(nnlist(ik,nn)) - jj=winmin_qb+j-1 - S(n,m)=S(n,m)& - +conjg(v_matrix(i,n,ik))*S_o(ii,jj)& - *v_matrix(j,m,nnlist(ik,nn)) - enddo - enddo - enddo - enddo + call get_gauge_overlap_matrix( & + ik, num_states(ik), & + nnlist(ik,nn), num_states(nnlist(ik,nn)), & + S_o, S) ! Berry connection matrix ! Assuming all neighbors of a given point are read in sequence! @@ -615,20 +603,10 @@ subroutine get_BB_R call get_win_min(ik,winmin_q) call get_win_min(nnlist(ik,nn),winmin_qb) - H_q_qb(:,:)=cmplx_0 - do m=1,num_wann - do n=1,num_wann - do i=1,num_states(ik) - ii=winmin_q+i-1 - do j=1,num_states(nnlist(ik,nn)) - jj=winmin_qb+j-1 - H_q_qb(n,m)=H_q_qb(n,m)& - +conjg(v_matrix(i,n,ik))*eigval(ii,ik)& - *S_o(ii,jj)*v_matrix(j,m,nnlist(ik,nn)) - enddo - enddo - enddo - enddo + call get_gauge_overlap_matrix( & + ik, num_states(ik), & + nnlist(ik,nn), num_states(nnlist(ik,nn)), & + S_o, H=H_q_qb) do idir=1,3 BB_q(:,:,ik,idir)=BB_q(:,:,ik,idir)& +cmplx_i*wb(nn)*bk(idir,nn,ik)*H_q_qb(:,:) @@ -774,21 +752,10 @@ subroutine get_CC_R ! ! Transform to projected subspace, Wannier gauge ! - H_qb1_q_qb2(:,:)=cmplx_0 - do m=1,num_wann - do n=1,num_wann - do i=1,num_states(qb1) - ii=winmin_qb1+i-1 - do j=1,num_states(qb2) - jj=winmin_qb2+j-1 - H_qb1_q_qb2(n,m)=H_qb1_q_qb2(n,m)& - +conjg(v_matrix(i,n,qb1))& - *Ho_qb1_q_qb2(ii,jj)& - *v_matrix(j,m,qb2) - enddo - enddo - enddo - enddo + call get_gauge_overlap_matrix(& + qb1, num_states(qb1), & + qb2, num_states(qb2), & + Ho_qb1_q_qb2, H_qb1_q_qb2) do b=1,3 do a=1,b CC_q(:,:,ik,a,b)=CC_q(:,:,ik,a,b)+wb(nn1)*bk(a,nn1,ik)& @@ -1095,22 +1062,11 @@ subroutine get_SS_R ! SS_q(:,:,:,:)=cmplx_0 do ik=1,num_kpts - call get_win_min(ik,winmin) do is=1,3 - do m=1,num_wann - do n=1,m - do i=1,num_states(ik) - ii=winmin+i-1 - do j=1,num_states(ik) - jj=winmin+j-1 - SS_q(n,m,ik,is)=SS_q(n,m,ik,is)& - +conjg(v_matrix(i,n,ik))*spn_o(ii,jj,ik,is)& - *v_matrix(j,m,ik) - enddo !j - enddo !i - SS_q(m,n,ik,is)=conjg(SS_q(n,m,ik,is)) - enddo !n - enddo !m + call get_gauge_overlap_matrix( & + ik, num_states(ik), & + ik, num_states(ik), & + spn_o(:,:,ik,is), SS_q(:,:,ik,is)) enddo !is enddo !ik @@ -1215,4 +1171,37 @@ subroutine get_win_min(ik,win_min) end subroutine get_win_min + !========================================================== + subroutine get_gauge_overlap_matrix(ik_a, ns_a, ik_b, ns_b, S_o, S, H) + !========================================================== + ! + ! Wannier-gauge overlap matrix S in the projected subspace + ! + ! TODO: Update this documentation of this routine and + ! possibliy give it a better name. The routine has been + ! generalized multiple times. + ! + !========================================================== + + use w90_constants, only : dp, cmplx_0 + use w90_postw90_common, only : v_matrix + use w90_parameters, only : num_wann, eigval + use w90_utility, only : utility_zgemmm + + integer, intent(in) :: ik_a, ns_a, ik_b, ns_b + + complex(kind=dp), dimension(:,:), intent(in) :: S_o + complex(kind=dp), dimension(:,:), intent(out), optional :: S, H + + integer :: wm_a, wm_b + + call get_win_min(ik_a, wm_a) + call get_win_min(ik_b, wm_b) + + call utility_zgemmm(v_matrix(1:ns_a, 1:num_wann, ik_a), 'C', & + S_o(wm_a:wm_a+ns_a-1, wm_b:wm_b+ns_b-1), 'N', & + v_matrix(1:ns_b, 1:num_wann, ik_b), 'N', & + S, eigval(wm_a:wm_a+ns_a-1,ik_a), H) + end subroutine get_gauge_overlap_matrix + end module w90_get_oper diff --git a/src/postw90/kpath.F90 b/src/postw90/kpath.F90 index 1d41c9f13..358f3866b 100644 --- a/src/postw90/kpath.F90 +++ b/src/postw90/kpath.F90 @@ -45,9 +45,8 @@ subroutine k_path io_time,io_stopwatch,stdout use w90_utility, only : utility_diagonalize use w90_postw90_common, only : pw90common_fourier_R_to_k - use w90_parameters, only : num_wann,recip_metric,kpath_task,& - kpath_num_points,bands_num_spec_points,& - bands_spec_points,bands_label,& + use w90_parameters, only : num_wann,kpath_task,& + bands_num_spec_points,bands_label,& kpath_bands_colour,nfermi,fermi_energy_list,& berry_curv_unit use w90_get_oper, only : get_HH_R,HH_R,get_AA_R,get_BB_R,get_CC_R,& @@ -56,33 +55,37 @@ subroutine k_path use w90_berry, only : berry_get_imf_klist,berry_get_imfgh_klist use w90_constants, only : bohr + integer, dimension(0:num_nodes-1) :: counts, displs + integer :: i,j,n,num_paths,num_spts,loop_path,loop_kpt,& total_pts,counter,loop_i,dataunit,gnuunit,pyunit,& - kpath_pts(bands_num_spec_points/2) - real(kind=dp) :: ymin,ymax,vec(3),kpt(3),spn_k(num_wann),& + my_num_pts + real(kind=dp) :: ymin,ymax,kpt(3),spn_k(num_wann),& imf_k_list(3,3,nfermi),img_k_list(3,3,nfermi),& imh_k_list(3,3,nfermi),Morb_k(3,3),& - kpath_len(bands_num_spec_points/2),range + range + real(kind=dp), allocatable, dimension(:) :: kpath_len logical :: plot_bands,plot_curv,plot_morb character(len=20) :: file_name complex(kind=dp), allocatable :: HH(:,:) complex(kind=dp), allocatable :: UU(:,:) - real(kind=dp), allocatable :: xval(:),eig(:,:),curv(:,:),& - morb(:,:),color(:,:),& - plot_kpoint(:,:) + real(kind=dp), allocatable :: xval(:),eig(:,:),my_eig(:,:),& + curv(:,:),my_curv(:,:),& + morb(:,:),my_morb(:,:),& + color(:,:),my_color(:,:),& + plot_kpoint(:,:), my_plot_kpoint(:,:) character(len=3),allocatable :: glabel(:) ! Everything is done on the root node (not worthwhile parallelizing) ! However, we still have to read and distribute the data if we ! are in parallel. So calls to get_oper are done on all nodes at the moment ! - plot_bands=.false. - if(index(kpath_task,'bands')>0) plot_bands=.true. - plot_curv=.false. - if(index(kpath_task,'curv')>0) plot_curv=.true. - plot_morb=.false. - if(index(kpath_task,'morb')>0) plot_morb=.true. + plot_bands = index(kpath_task,'bands') > 0 + plot_curv = index(kpath_task,'curv') > 0 + plot_morb = index(kpath_task,'morb') > 0 + call k_path_print_info(plot_bands, plot_curv, plot_morb) + ! Set up the needed Wannier matrix elements call get_HH_R if(plot_curv.or.plot_morb) call get_AA_R @@ -93,115 +96,131 @@ subroutine k_path if(plot_bands .and. kpath_bands_colour=='spin') call get_SS_R if(on_root) then + ! Determine the number of k-points (total_pts) as well as + ! their reciprocal-lattice coordinates long the path (plot_kpoint) + ! and their associated horizontal coordinate for the plot (xval) + call k_path_get_points(num_paths, kpath_len, total_pts, xval, plot_kpoint) + ! (paths) + num_spts=num_paths+1 ! number of path endpoints (special pts) + else + ! Dummy allocation for making scatterv work + allocate(plot_kpoint(1,1)) + end if + + ! Broadcast number of k-points on the path + call comms_bcast(total_pts, 1) + + ! Partition set of k-points into junks + call comms_array_split(total_pts, counts, displs); + !kpt_lo = displs(my_node_id)+1 + !kpt_hi = displs(my_node_id)+counts(my_node_id) + my_num_pts = counts(my_node_id) + + ! Distribute coordinates + allocate(my_plot_kpoint(3, my_num_pts)) + call comms_scatterv(my_plot_kpoint, 3*my_num_pts, & + plot_kpoint, 3*counts, 3*displs) + + ! Value of the vertical coordinate in the actual plots: energy bands + ! + if(plot_bands) then + allocate(HH(num_wann,num_wann)) + allocate(UU(num_wann,num_wann)) + allocate(my_eig(num_wann,my_num_pts)) + if(kpath_bands_colour/='none') allocate(my_color(num_wann,my_num_pts)) + end if + + ! Value of the vertical coordinate in the actual plots + ! + if(plot_curv) allocate(my_curv(my_num_pts,3)) + if(plot_morb) allocate(my_morb(my_num_pts,3)) - write(stdout,'(/,/,1x,a)')& - 'Properties calculated in module k p a t h' - write(stdout,'(1x,a)')& - '------------------------------------------' + ! Loop over local junk of k-points on the path and evaluate the requested quantities + ! + do loop_kpt=1,my_num_pts + kpt(:)=my_plot_kpoint(:,loop_kpt) if(plot_bands) then - select case(kpath_bands_colour) - case("none") - write(stdout,'(/,3x,a)') '* Energy bands in eV' - case("spin") - write(stdout,'(/,3x,a)') '* Energy bands in eV, coloured by spin' - end select - end if - if(plot_curv) then - if(berry_curv_unit=='ang2') then - write(stdout,'(/,3x,a)') '* Negative Berry curvature in Ang^2' - elseif(berry_curv_unit=='bohr2') then - write(stdout,'(/,3x,a)') '* Negative Berry curvature in Bohr^2' - endif - if(nfermi/=1) call io_error(& - 'Must specify one Fermi level when kpath_task=curv') - end if - if(plot_morb) then - write(stdout,'(/,3x,a)')& - '* Orbital magnetization k-space integrand in eV.Ang^2' - if(nfermi/=1) call io_error(& - 'Must specify one Fermi level when kpath_task=morb') - end if - - ! Work out how many points there are in the total path, and the - ! positions of the special points - ! - num_paths=bands_num_spec_points/2 ! number of straigh line segments - ! (paths) - num_spts=num_paths+1 ! number of path endpoints (special pts) - do loop_path=1,num_paths - vec=bands_spec_points(:,2*loop_path)& - -bands_spec_points(:,2*loop_path-1) - kpath_len(loop_path)=sqrt(& - dot_product(vec,(matmul(recip_metric,vec)))& - ) + call pw90common_fourier_R_to_k(kpt,HH_R,HH,0) + call utility_diagonalize(HH,num_wann,my_eig(:,loop_kpt),UU) ! - ! kpath_pts(loop_path) is the number of points in path number - ! loop_path (all segments have the same density of points) + ! Color-code energy bands with the spin projection along the + ! chosen spin quantization axis ! - if(loop_path==1) then - kpath_pts(loop_path)=kpath_num_points - else - kpath_pts(loop_path)=nint(real(kpath_num_points,dp)& - *kpath_len(loop_path)/kpath_len(1)) + if(kpath_bands_colour=='spin') then + call spin_get_nk(kpt,spn_k) + my_color(:,loop_kpt)=spn_k(:) + ! + ! The following is needed to prevent bands from disappearing + ! when the magnitude of the Wannier interpolated spn_k (very + ! slightly) exceeds 1.0 (e.g. in bcc Fe along N--G--H) + ! + do n=1,num_wann + if(my_color(n,loop_kpt)>1.0_dp-eps8) then + my_color(n,loop_kpt)=1.0_dp-eps8 + else if(my_color(n,loop_kpt)<-1.0_dp+eps8) then + my_color(n,loop_kpt)=-1.0_dp+eps8 + end if + end do end if - end do - total_pts=sum(kpath_pts)+1 - - ! Reciprocal-lattice coordinates of the k-points along the path - ! - allocate(plot_kpoint(3,total_pts)) - - ! Value of the horizontal coordinate in the actual plots (units of - ! distance in k-space) - ! - allocate(xval(total_pts)) + end if - ! Value of the vertical coordinate in the actual plots: energy bands - ! - if(plot_bands) then - allocate(HH(num_wann,num_wann)) - allocate(UU(num_wann,num_wann)) - allocate(eig(num_wann,total_pts)) - if(kpath_bands_colour/='none') allocate(color(num_wann,total_pts)) + if(plot_morb) then + call berry_get_imfgh_klist(kpt,imf_k_list,img_k_list,imh_k_list) + Morb_k=img_k_list(:,:,1)+imh_k_list(:,:,1)& + -2.0_dp*fermi_energy_list(1)*imf_k_list(:,:,1) + Morb_k=-Morb_k/2.0_dp ! differs by -1/2 from Eq.97 LVTS12 + my_morb(loop_kpt,1)=sum(Morb_k(:,1)) + my_morb(loop_kpt,2)=sum(Morb_k(:,2)) + my_morb(loop_kpt,3)=sum(Morb_k(:,3)) end if - ! Value of the vertical coordinate in the actual plots - ! - if(plot_curv) allocate(curv(total_pts,3)) - if(plot_morb) allocate(morb(total_pts,3)) + if(plot_curv) then + if(.not. plot_morb) then + call berry_get_imf_klist(kpt,imf_k_list) + end if + my_curv(loop_kpt,1)=sum(imf_k_list(:,1,1)) + my_curv(loop_kpt,2)=sum(imf_k_list(:,2,1)) + my_curv(loop_kpt,3)=sum(imf_k_list(:,3,1)) + end if + end do !loop_kpt + + ! Send results to root process + if(plot_bands) then + allocate(eig(num_wann,total_pts)) + call comms_gatherv(my_eig, num_wann*my_num_pts, & + eig, num_wann*counts, num_wann*displs) + if(kpath_bands_colour/='none') then + allocate(color(num_wann,total_pts)) + call comms_gatherv(my_color, num_wann*my_num_pts, & + color, num_wann*counts, num_wann*displs) + end if + end if - allocate(glabel(num_spts)) + if(plot_curv) then + allocate(curv(total_pts,3)) + do i = 1,3 + call comms_gatherv(my_curv(:,i), my_num_pts, & + curv(:,i), counts, displs) + end do + end if - ! Find the position of each kpoint along the path - ! - counter=0 - do loop_path=1,num_paths - do loop_i=1,kpath_pts(loop_path) - counter=counter+1 - if(counter==1) then - xval(counter)=0.0_dp - else - xval(counter)=xval(counter-1)& - +kpath_len(loop_path)/real(kpath_pts(loop_path),dp) - endif - plot_kpoint(:,counter)=bands_spec_points(:,2*loop_path-1)& - +( bands_spec_points(:,2*loop_path)& - -bands_spec_points(:,2*loop_path-1)& - )& - *(real(loop_i-1,dp)/real(kpath_pts(loop_path),dp)) - end do + if(plot_morb) then + allocate(morb(total_pts,3)) + do i = 1,3 + call comms_gatherv(my_morb(:,i), my_num_pts, & + morb(:,i), counts, displs) end do - ! - ! Last point - ! - xval(total_pts)=sum(kpath_len) - plot_kpoint(:,total_pts)=bands_spec_points(:,bands_num_spec_points) + end if + + if(on_root) then + num_spts=num_paths+1 + allocate(glabel(num_spts)) if(plot_bands) then ! ! Write out the kpoints in the path in a format that can be inserted - ! directly in the pwscf input file (the '1.0_dp' in the second column is + ! directly in the pwscf input file (the '1.0_dp' in the second column is ! a k-point weight, expected by pwscf) ! dataunit=io_file_unit() @@ -212,57 +231,7 @@ subroutine k_path (plot_kpoint(loop_i,loop_kpt),loop_i=1,3),1.0_dp end do close(dataunit) - endif - - ! Loop over k-points on the path and evaluate the requested quantities - ! - do loop_kpt=1,total_pts - kpt(:)=plot_kpoint(:,loop_kpt) - - if(plot_bands) then - call pw90common_fourier_R_to_k(kpt,HH_R,HH,0) - call utility_diagonalize(HH,num_wann,eig(:,loop_kpt),UU) - ! - ! Color-code energy bands with the spin projection along the - ! chosen spin quantization axis - ! - if(kpath_bands_colour=='spin') then - call spin_get_nk(kpt,spn_k) - color(:,loop_kpt)=spn_k(:) - ! - ! The following is needed to prevent bands from disappearing - ! when the magnitude of the Wannier interpolated spn_k (very - ! slightly) exceeds 1.0 (e.g. in bcc Fe along N--G--H) - ! - do n=1,num_wann - if(color(n,loop_kpt)>1.0_dp-eps8) then - color(n,loop_kpt)=1.0_dp-eps8 - elseif(color(n,loop_kpt)<-1.0_dp+eps8) then - color(n,loop_kpt)=-1.0_dp+eps8 - endif - enddo - end if - endif - - if(plot_curv) then - call berry_get_imf_klist(kpt,imf_k_list) - curv(loop_kpt,1)=sum(imf_k_list(:,1,1)) - curv(loop_kpt,2)=sum(imf_k_list(:,2,1)) - curv(loop_kpt,3)=sum(imf_k_list(:,3,1)) - end if - - if(plot_morb) then - call berry_get_imfgh_klist(kpt,imf_k_list,img_k_list,imh_k_list) - Morb_k=img_k_list(:,:,1)+imh_k_list(:,:,1)& - -2.0_dp*fermi_energy_list(1)*imf_k_list(:,:,1) - Morb_k=-Morb_k/2.0_dp ! differs by -1/2 from Eq.97 LVTS12 - morb(loop_kpt,1)=sum(Morb_k(:,1)) - morb(loop_kpt,2)=sum(Morb_k(:,2)) - morb(loop_kpt,3)=sum(Morb_k(:,3)) - end if - - end do !loop_kpt - + end if if(plot_curv .and. berry_curv_unit=='bohr2') curv=curv/bohr**2 ! Axis labels @@ -299,11 +268,11 @@ subroutine k_path write(dataunit,'(3E16.8)') xval(loop_kpt),& eig(i,loop_kpt),color(i,loop_kpt) end if - enddo + end do write(dataunit,*) ' ' - enddo + end do close(dataunit) - endif + end if if(plot_bands .and. .not.plot_curv .and. .not.plot_morb) then ! @@ -318,14 +287,14 @@ subroutine k_path do i = 1,num_paths-1 write(gnuunit,705) sum(kpath_len(1:i)),ymin,& sum(kpath_len(1:i)),ymax - enddo + end do if(kpath_bands_colour=='none') then write(gnuunit,701) xval(total_pts),ymin,ymax write(gnuunit,702, advance="no") glabel(1),0.0_dp,& (glabel(i+1),sum(kpath_len(1:i)),i=1,num_paths-1) write(gnuunit,703) glabel(1+num_paths),sum(kpath_len(:)) write(gnuunit,*) 'plot ','"'//trim(seedname)//'-bands.dat','"' - elseif(kpath_bands_colour=='spin') then + else if(kpath_bands_colour=='spin') then ! ! Only works with gnuplot v4.2 and higher ! @@ -363,20 +332,20 @@ subroutine k_path else write(pyunit,'(a)') "tick_labels.append('"//trim(glabel(j))& //"'.strip())" - endif + end if if(j==1) then write(pyunit,'(a,F12.6,a)') "tick_locs.append(0)" else write(pyunit,'(a,F12.6,a)') "tick_locs.append(",& sum(kpath_len(1:j-1)),")" - endif - enddo + end if + end do if(kpath_bands_colour=='none') then write(pyunit,'(a)') "pl.scatter(x,y,color='k',marker='+',s=0.1)" - elseif(kpath_bands_colour=='spin') then + else if(kpath_bands_colour=='spin') then write(pyunit,'(a)')& "pl.scatter(x,y,c=z,marker='+',s=1,cmap=pl.cm.jet)" - endif + end if write(pyunit,'(a)') "pl.xlim([0,max(x)])" write(pyunit,'(a)') "pl.ylim([min(y)-0.025*(max(y)-min(y)),"& //"max(y)+0.025*(max(y)-min(y))])" @@ -390,12 +359,12 @@ subroutine k_path write(pyunit,'(a)')& "pl.axes().set_aspect(aspect=0.65*max(x)/(max(y)-min(y)))" write(pyunit,'(a)') "pl.colorbar(shrink=0.7)" - endif + end if write(pyunit,'(a)') "outfile = '"//trim(seedname)//"-bands.pdf'" write(pyunit,'(a)') "pl.savefig(outfile,bbox_inches='tight')" write(pyunit,'(a)') "pl.show()" - endif ! plot_bands .and. .not.plot_curv .and. .not.plot_morb + end if ! plot_bands .and. .not.plot_curv .and. .not.plot_morb if(plot_curv) then ! It is conventional to plot the negative curvature @@ -407,10 +376,10 @@ subroutine k_path do loop_kpt=1,total_pts write(dataunit,'(4E16.8)') xval(loop_kpt),& curv(loop_kpt,:) - enddo + end do write(dataunit,*) ' ' close(dataunit) - endif + end if if(plot_curv .and. .not.plot_bands) then @@ -431,7 +400,7 @@ subroutine k_path do j=1,num_paths-1 write(gnuunit,705) sum(kpath_len(1:j)),ymin,& sum(kpath_len(1:j)),ymax - enddo + end do write(gnuunit,702, advance="no") glabel(1),0.0_dp,& (glabel(j+1),sum(kpath_len(1:j)),j=1,num_paths-1) write(gnuunit,703) glabel(1+num_paths),sum(kpath_len(:)) @@ -459,14 +428,14 @@ subroutine k_path else write(pyunit,'(a)') "tick_labels.append('"& //trim(glabel(j))//"'.strip())" - endif + end if if(j==1) then write(pyunit,'(a,F12.6,a)') "tick_locs.append(0)" else write(pyunit,'(a,F12.6,a)') "tick_locs.append(",& sum(kpath_len(1:j-1)),")" - endif - enddo + end if + end do write(pyunit,'(a)') "pl.plot(x,y,color='k')" write(pyunit,'(a)') "pl.xlim([0,max(x)])" write(pyunit,'(a)') "pl.ylim([min(y)-0.025*(max(y)-min(y)),"& @@ -479,15 +448,15 @@ subroutine k_path if(berry_curv_unit=='ang2') then write(pyunit,'(a)') "pl.ylabel('$-\Omega_"//achar(119+i)& //"(\mathbf{k})$ [ $\AA^2$ ]')" - elseif(berry_curv_unit=='bohr2') then + else if(berry_curv_unit=='bohr2') then write(pyunit,'(a)') "pl.ylabel('$-\Omega_"//achar(119+i)& //"(\mathbf{k})$ [ bohr$^2$ ]')" - endif + end if write(pyunit,'(a)') "outfile = '"//trim(seedname)//& "-curv_"//achar(119+i)//".pdf'" write(pyunit,'(a)') "pl.savefig(outfile,bbox_inches='tight')" write(pyunit,'(a)') "pl.show()" - enddo + end do end if ! plot_curv .and. .not.plot_bands @@ -498,10 +467,10 @@ subroutine k_path open(dataunit,file=file_name,form='formatted') do loop_kpt=1,total_pts write(dataunit,'(4E16.8)') xval(loop_kpt),morb(loop_kpt,:) - enddo + end do write(dataunit,*) ' ' close(dataunit) - endif + end if if(plot_morb .and. .not.plot_bands) then do i=1,3 @@ -521,7 +490,7 @@ subroutine k_path do j=1,num_paths-1 write(gnuunit,705) sum(kpath_len(1:j)),ymin,& sum(kpath_len(1:j)),ymax - enddo + end do write(gnuunit,702, advance="no") glabel(1),0.0_dp,& (glabel(j+1),sum(kpath_len(1:j)),j=1,num_paths-1) write(gnuunit,703) glabel(1+num_paths),sum(kpath_len(:)) @@ -549,14 +518,14 @@ subroutine k_path else write(pyunit,'(a)')& "tick_labels.append('"//trim(glabel(j))//"'.strip())" - endif + end if if(j==1) then write(pyunit,'(a,F12.6,a)') "tick_locs.append(0)" else write(pyunit,'(a,F12.6,a)') "tick_locs.append(",& sum(kpath_len(1:j-1)),")" - endif - enddo + end if + end do write(pyunit,'(a)') "pl.plot(x,y,color='k')" write(pyunit,'(a)') "pl.xlim([0,max(x)])" write(pyunit,'(a)') "pl.ylim([min(y)-0.025*(max(y)-min(y)),"& @@ -572,7 +541,7 @@ subroutine k_path "-morb_"//achar(119+i)//".pdf'" write(pyunit,'(a)') "pl.savefig(outfile,bbox_inches='tight')" write(pyunit,'(a)') "pl.show()" - enddo + end do end if ! plot_morb .and. .not.plot_bands @@ -584,9 +553,9 @@ subroutine k_path pyunit=io_file_unit() if(plot_curv) then file_name=trim(seedname)//'-bands+curv_'//achar(119+i)//'.py' - elseif(plot_morb) then + else if(plot_morb) then file_name=trim(seedname)//'-bands+morb_'//achar(119+i)//'.py' - endif + end if write(stdout,'(/,3x,a)') file_name open(pyunit,file=file_name,form='formatted') write(pyunit,'(a)') 'import pylab as pl' @@ -600,14 +569,14 @@ subroutine k_path else write(pyunit,'(a)') "tick_labels.append('"//trim(glabel(j))& //"'.strip())" - endif + end if if(j==1) then write(pyunit,'(a,F12.6,a)') "tick_locs.append(0)" else write(pyunit,'(a,F12.6,a)') "tick_locs.append(",& sum(kpath_len(1:j-1)),")" - endif - enddo + end if + end do write(pyunit,'(a)') "fig = pl.figure()" write(pyunit,'(a)') "gs = GridSpec(2, 1,hspace=0.00)" ! @@ -621,10 +590,10 @@ subroutine k_path if(kpath_bands_colour=='spin') write(pyunit,'(a)') "z=data[:,2]" if(kpath_bands_colour=='none') then write(pyunit,'(a)') "pl.scatter(x,y,color='k',marker='+',s=0.1)" - elseif(kpath_bands_colour=='spin') then + else if(kpath_bands_colour=='spin') then write(pyunit,'(a)')& "pl.scatter(x,y,c=z,marker='+',s=1,cmap=pl.cm.jet)" - endif + end if write(pyunit,'(a)') "pl.xlim([0,max(x)])" write(pyunit,'(a)') "pl.ylim([-0.65,0.65]) # Adjust this range as needed" write(pyunit,'(a)') "pl.plot([tick_locs[0],tick_locs[-1]],[0,0],"& @@ -644,10 +613,10 @@ subroutine k_path if(plot_curv) then write(pyunit,'(a)') "data = np.loadtxt('"//trim(seedname)//& "-curv.dat')" - elseif(plot_morb) then + else if(plot_morb) then write(pyunit,'(a)') "data = np.loadtxt('"//trim(seedname)//& "-morb.dat')" - endif + end if write(pyunit,'(a)') "x=data[:,0]" write(pyunit,'(a)') "y=data[:,"//achar(48+i)//"]" write(pyunit,'(a)') "pl.plot(x,y,color='k')" @@ -663,23 +632,23 @@ subroutine k_path if(berry_curv_unit=='ang2') then write(pyunit,'(a)') "pl.ylabel('$-\Omega_"//achar(119+i)& //"(\mathbf{k})$ [ $\AA^2$ ]')" - elseif(berry_curv_unit=='bohr2') then + else if(berry_curv_unit=='bohr2') then write(pyunit,'(a)') "pl.ylabel('$-\Omega_"//achar(119+i)& //"(\mathbf{k})$ [ bohr$^2$ ]')" - endif + end if write(pyunit,'(a)') "outfile = '"//trim(seedname)//& "-bands+curv_"//achar(119+i)//".pdf'" - elseif(plot_morb) then + else if(plot_morb) then write(pyunit,'(a)') "pl.ylabel(r'$M^{\rm{orb}}_z(\mathbf{k})$"& //" [ Ry$\cdot\AA^2$ ]')" write(pyunit,'(a)') "outfile = '"//trim(seedname)//& "-morb_"//achar(119+i)//".pdf'" - endif + end if write(pyunit,'(a)') "pl.savefig(outfile,bbox_inches='tight')" write(pyunit,'(a)') "pl.show()" - enddo + end do - endif ! plot_bands .and. plot_curv + end if ! plot_bands .and. plot_curv end if ! on_root @@ -697,4 +666,130 @@ subroutine k_path end subroutine k_path + !===========================================================! + ! PRIVATE PROCEDURES ! + !===========================================================! + subroutine k_path_print_info(plot_bands, plot_curv, plot_morb) + + use w90_comms, only : on_root + use w90_parameters, only : kpath_bands_colour, berry_curv_unit, nfermi + use w90_io, only : stdout, io_error + + logical, intent(in) :: plot_bands, plot_curv, plot_morb + + if(on_root) then + write(stdout,'(/,/,1x,a)')& + 'Properties calculated in module k p a t h' + write(stdout,'(1x,a)')& + '------------------------------------------' + + if(plot_bands) then + select case(kpath_bands_colour) + case("none") + write(stdout,'(/,3x,a)') '* Energy bands in eV' + case("spin") + write(stdout,'(/,3x,a)') '* Energy bands in eV, coloured by spin' + end select + end if + if(plot_curv) then + if(berry_curv_unit=='ang2') then + write(stdout,'(/,3x,a)') '* Negative Berry curvature in Ang^2' + else if(berry_curv_unit=='bohr2') then + write(stdout,'(/,3x,a)') '* Negative Berry curvature in Bohr^2' + endif + if(nfermi/=1) call io_error(& + 'Must specify one Fermi level when kpath_task=curv') + end if + if(plot_morb) then + write(stdout,'(/,3x,a)')& + '* Orbital magnetization k-space integrand in eV.Ang^2' + if(nfermi/=1) call io_error(& + 'Must specify one Fermi level when kpath_task=morb') + end if + end if ! on_root + + end subroutine + + !===================================================================! + subroutine k_path_get_points(num_paths, kpath_len, total_pts, xval, plot_kpoint) + !===================================================================! + ! Determine the number of k-points (total_pts) as well as ! + ! their reciprocal-lattice coordinates long the path (plot_kpoint) ! + ! and their associated horizontal coordinate for the plot (xval) ! + !===================================================================! + + use w90_parameters, only : kpath_num_points, & + bands_num_spec_points, & + bands_spec_points, & + recip_metric + + integer, intent(out) :: num_paths, total_pts + real(kind=dp), allocatable, dimension(:), intent(out) :: kpath_len, xval + real(kind=dp), allocatable, dimension(:,:), intent(out) :: plot_kpoint + + integer :: counter, loop_path, loop_i + + integer, allocatable, dimension(:) :: kpath_pts + real(kind=dp) :: vec(3) + + ! Work out how many points there are in the total path, and the + ! positions of the special points + ! + num_paths=bands_num_spec_points/2 ! number of straight line segments + allocate(kpath_pts(num_paths)) + allocate(kpath_len(num_paths)) + do loop_path=1,num_paths + vec=bands_spec_points(:,2*loop_path)& + -bands_spec_points(:,2*loop_path-1) + kpath_len(loop_path) = & + sqrt(dot_product(vec,(matmul(recip_metric,vec)))) + ! + ! kpath_pts(loop_path) is the number of points in path number + ! loop_path (all segments have the same density of points) + ! + if(loop_path==1) then + kpath_pts(loop_path)=kpath_num_points + else + kpath_pts(loop_path)=nint(real(kpath_num_points,dp)& + *kpath_len(loop_path)/kpath_len(1)) + end if + end do + total_pts=sum(kpath_pts)+1 + + ! Reciprocal-lattice coordinates of the k-points along the path + ! + allocate(plot_kpoint(3,total_pts)) + + ! Value of the horizontal coordinate in the actual plots (units of + ! distance in k-space) + ! + allocate(xval(total_pts)) + + ! Find the position of each kpoint along the path + ! + counter=0 + do loop_path=1,num_paths + do loop_i=1,kpath_pts(loop_path) + counter=counter+1 + if(counter==1) then + xval(counter)=0.0_dp + else + xval(counter)=xval(counter-1)& + +kpath_len(loop_path)/real(kpath_pts(loop_path),dp) + end if + plot_kpoint(:,counter)=bands_spec_points(:,2*loop_path-1)& + +( bands_spec_points(:,2*loop_path)& + -bands_spec_points(:,2*loop_path-1)& + )& + *(real(loop_i-1,dp)/real(kpath_pts(loop_path),dp)) + end do + end do + ! + ! Last point + ! + xval(total_pts)=sum(kpath_len) + plot_kpoint(:,total_pts)=bands_spec_points(:,bands_num_spec_points) + + end subroutine + end module w90_kpath diff --git a/src/postw90/kslice.F90 b/src/postw90/kslice.F90 index 79ca987b4..e8b6caf1c 100644 --- a/src/postw90/kslice.F90 +++ b/src/postw90/kslice.F90 @@ -25,10 +25,6 @@ module w90_kslice !! !! kslice_corner(1:3) is the lower left corner !! kslice_b1(1:3) and kslice_b2(1:3) are the vectors subtending the slice - !! - !!--------------------------------- - !! TO DO: Parallelize over k-points - !!--------------------------------- implicit none @@ -62,9 +58,10 @@ subroutine k_slice use w90_berry, only : berry_get_imf_klist,berry_get_imfgh_klist use w90_constants, only : bohr - integer :: itot,i1,i2,n,n1,n2,n3,i - integer :: zdataunit,coorddataunit,& - bandsunit,scriptunit,dataunit + integer, dimension(0:num_nodes-1) :: counts, displs + + integer :: iloc,itot,i1,i2,n,n1,n2,n3,i,nkpts,my_nkpts + integer :: scriptunit,dataunit,loop_kpt real(kind=dp) :: avec_2d(3,3),avec_3d(3,3),bvec(3,3),yvec(3),zvec(3),& b1mod,b2mod,ymod,cosb1b2,kcorner_cart(3),& areab1b2,cosyb2,kpt(3),kpt_x,kpt_y,k1,k2,& @@ -82,23 +79,27 @@ subroutine k_slice complex(kind=dp), allocatable :: UU(:,:) real(kind=dp), allocatable :: eig(:) - ! Everything is done on the root node. However, we still have to - ! read and distribute the data if we are in parallel, so calls to - ! get_oper are done on all nodes - - plot_fermi_lines=.false. - if(index(kslice_task,'fermi_lines')>0) plot_fermi_lines=.true. - plot_curv=.false. - if(index(kslice_task,'curv')>0) plot_curv=.true. - plot_morb=.false. - if(index(kslice_task,'morb')>0) plot_morb=.true. - fermi_lines_color=.false. - if(index(kslice_fermi_lines_colour,'spin')>0) fermi_lines_color=.true. - heatmap=.false. - if(plot_curv .or. plot_morb) heatmap=.true. - if(plot_fermi_lines .and. fermi_lines_color .and. heatmap)& + ! Output data buffers + real(kind=dp), allocatable :: coords(:,:), my_coords(:,:), & + spndata(:,:), my_spndata(:,:), & + bandsdata(:,:), my_bandsdata(:,:), & + zdata(:,:), my_zdata(:,:) + logical, allocatable :: spnmask(:,:), my_spnmask(:,:) + + plot_fermi_lines = index(kslice_task,'fermi_lines') > 0 + plot_curv = index(kslice_task,'curv') > 0 + plot_morb = index(kslice_task,'morb') > 0 + fermi_lines_color = kslice_fermi_lines_colour /= 'none' + heatmap = plot_curv .or. plot_morb + if(plot_fermi_lines .and. fermi_lines_color .and. heatmap) then call io_error('Error: spin-colored Fermi lines not allowed in '& //'curv/morb heatmap plots') + end if + + if(on_root) then + call kslice_print_info(plot_fermi_lines, fermi_lines_color, & + plot_curv, plot_morb) + end if call get_HH_R if(plot_curv.or.plot_morb) call get_AA_R @@ -108,8 +109,6 @@ subroutine k_slice endif if(fermi_lines_color) call get_SS_R - if(on_root) then - ! Set Cartesian components of the vectors (b1,b2) spanning the slice ! bvec(1,:)=matmul(kslice_b1(:),recip_lattice(:,:)) @@ -149,46 +148,14 @@ subroutine k_slice square='False' end if - write(stdout,'(/,/,1x,a)')& - 'Properties calculated in module k s l i c e' - write(stdout,'(1x,a)')& - '--------------------------------------------' + nkpts = (kslice_2dkmesh(1)+1)*(kslice_2dkmesh(2)+1) - if(plot_fermi_lines) then - if(nfermi/=1) call io_error(& - 'Must specify one Fermi level when kslice_task=fermi_lines') - select case(fermi_lines_color) - case(.false.) - write(stdout,'(/,3x,a)') '* Fermi lines' - case(.true.) - write(stdout,'(/,3x,a)') '* Fermi lines coloured by spin' - end select - write(stdout,'(/,7x,a,f10.4,1x,a)')& - '(Fermi level: ',fermi_energy_list(1),'eV)' - endif - if(plot_curv) then - if(berry_curv_unit=='ang2') then - write(stdout,'(/,3x,a)') '* Negative Berry curvature in Ang^2' - elseif(berry_curv_unit=='bohr2') then - write(stdout,'(/,3x,a)') '* Negative Berry curvature in Bohr^2' - endif - if(nfermi/=1) call io_error(& - 'Must specify one Fermi level when kslice_task=curv') - elseif(plot_morb) then - write(stdout,'(/,3x,a)')& - '* Orbital magnetization k-space integrand in eV.Ang^2' - if(nfermi/=1) call io_error(& - 'Must specify one Fermi level when kslice_task=morb') - endif + ! Partition set of k-points into junks + call comms_array_split(nkpts, counts, displs); + my_nkpts = counts(my_node_id) - write(stdout,'(/,/,1x,a)') 'Output files:' - - if(.not.fermi_lines_color) then - coorddataunit=io_file_unit() - filename=trim(seedname)//'-kslice-coord.dat' - write(stdout,'(/,3x,a)') filename - open(coorddataunit,file=filename,form='formatted') - endif + allocate(my_coords(2,my_nkpts)) + if(heatmap) allocate(my_zdata(3,my_nkpts)) if(plot_fermi_lines) then allocate(HH(num_wann,num_wann)) @@ -196,47 +163,19 @@ subroutine k_slice allocate(eig(num_wann)) if(fermi_lines_color) then allocate(delHH(num_wann,num_wann,3)) - dataunit=io_file_unit() - filename=trim(seedname)//'-kslice-fermi-spn.dat' - write(stdout,'(/,3x,a)') filename - open(dataunit,file=filename,form='formatted') + allocate(my_spndata(num_wann,my_nkpts)) + allocate(my_spnmask(num_wann,my_nkpts)) + my_spnmask = .false. else - bandsunit=io_file_unit() - filename=trim(seedname)//'-kslice-bands.dat' - write(stdout,'(/,3x,a)') filename - open(bandsunit,file=filename,form='formatted') - if(.not.heatmap) then - allocate(bnddataunit(num_wann)) - do n=1,num_wann - n1=n/100 - n2=(n-n1*100)/10 - n3=n-n1*100-n2*10 - bnddataunit(n)=io_file_unit() - filename=trim(seedname)//'-bnd_'& - //achar(48+n1)//achar(48+n2)//achar(48+n3)//'.dat' - write(stdout,'(/,3x,a)') filename - open(bnddataunit(n),file=filename,form='formatted') - enddo - endif + allocate(my_bandsdata(num_wann,my_nkpts)) endif endif - if(plot_curv) then - zdataunit=io_file_unit() - filename=trim(seedname)//'-kslice-curv.dat' - write(stdout,'(/,3x,a)') filename - open(zdataunit,file=filename,form='formatted') - elseif(plot_morb) then - zdataunit=io_file_unit() - filename=trim(seedname)//'-kslice-morb.dat' - write(stdout,'(/,3x,a)') filename - open(zdataunit,file=filename,form='formatted') - end if - - ! Loop over uniform mesh of k-points covering the slice, + ! Loop over local portion of uniform mesh of k-points covering the slice, ! including all four borders ! - do itot=0,(kslice_2dkmesh(1)+1)*(kslice_2dkmesh(2)+1)-1 + do iloc=1,my_nkpts + itot=iloc-1+displs(my_node_id) i2=itot/(kslice_2dkmesh(1)+1) ! slow i1=itot-i2*(kslice_2dkmesh(1)+1) !fast ! k1 and k2 are the coefficients of the k-point in the basis @@ -254,7 +193,8 @@ subroutine k_slice ! with x along x_vec=b1 and y along y_vec kpt_x=k1*b1mod+k2*b2mod*cosb1b2 kpt_y=k2*b2mod*cosyb2 - if(.not.fermi_lines_color) write(coorddataunit,'(2E16.8)') kpt_x,kpt_y + + my_coords(:,iloc) = [kpt_x, kpt_y] if(plot_fermi_lines) then if(fermi_lines_color) then @@ -272,27 +212,21 @@ subroutine k_slice call pw90common_fourier_R_to_k(kpt,HH_R,HH,0) call utility_diagonalize(HH,num_wann,eig,UU) endif - do n=1,num_wann - if(.not.fermi_lines_color) then - ! For python - write(bandsunit,'(E16.8)') eig(n) - ! For gnuplot, using 'grid data' format - if(.not.heatmap) then - write(bnddataunit(n),'(3E16.8)') kpt_x,kpt_y,eig(n) - if(i1==kslice_2dkmesh(1) .and. i2/=kslice_2dkmesh(2))& - write (bnddataunit(n),*) ' ' - endif - else + + if(allocated(my_bandsdata)) then + my_bandsdata(:,iloc) = eig(:) + else + my_spndata(:,iloc) = spn_k(:) + do n=1,num_wann ! vdum = dE/dk projected on the k-slice zhat=zvec/sqrt(dot_product(zvec,zvec)) vdum(:)=del_eig(n,:)-dot_product(del_eig(n,:),zhat)*zhat(:) Delta_E=sqrt(dot_product(vdum,vdum))*Delta_k ! Delta_E=Delta_E*sqrt(2.0_dp) ! optimize this factor - if(abs(eig(n)-fermi_energy_list(1))0 .and. abs(scissors_shift)>1.0e-7_dp)) then + if (allocated(u_matrix)) deallocate(u_matrix) + endif endif call comms_bcast(v_matrix(1,1,1),num_bands*num_wann*num_kpts) + if(num_valence_bands>0 .and. abs(scissors_shift)>1.0e-7_dp) then if (.not.on_root .and. .not.allocated(u_matrix)) then allocate(u_matrix(num_wann,num_wann,num_kpts),stat=ierr) if (ierr/=0)& call io_error('Error allocating u_matrix in pw90common_wanint_data_dist') endif call comms_bcast(u_matrix(1,1,1),num_wann*num_wann*num_kpts) - - if (.not.on_root .and. .not.allocated(m_matrix)) then - allocate(m_matrix(num_wann,num_wann,nntot,num_kpts),stat=ierr) - if (ierr/=0)& - call io_error('Error allocating m_matrix in pw90common_wanint_data_dist') endif - call comms_bcast(m_matrix(1,1,1,1),num_wann*num_wann*nntot*num_kpts) + +! if (.not.on_root .and. .not.allocated(m_matrix)) then +! allocate(m_matrix(num_wann,num_wann,nntot,num_kpts),stat=ierr) +! if (ierr/=0)& +! call io_error('Error allocating m_matrix in pw90common_wanint_data_dist') +! endif +! call comms_bcast(m_matrix(1,1,1,1),num_wann*num_wann*nntot*num_kpts) call comms_bcast(have_disentangled,1) @@ -508,12 +519,11 @@ subroutine pw90common_wanint_data_dist ! Do we really need these 'if not allocated'? Didn't use them for ! eigval and kpt_latt above! - ! ***NOTE*** This should eventually be removed - if (.not.allocated(u_matrix_opt)) then - allocate(u_matrix_opt(num_bands,num_wann,num_kpts),stat=ierr) - if (ierr/=0)& - call io_error('Error allocating u_matrix_opt in pw90common_wanint_data_dist') - endif +! if (.not.allocated(u_matrix_opt)) then +! allocate(u_matrix_opt(num_bands,num_wann,num_kpts),stat=ierr) +! if (ierr/=0)& +! call io_error('Error allocating u_matrix_opt in pw90common_wanint_data_dist') +! endif if (.not.allocated(lwindow)) then allocate(lwindow(num_bands,num_kpts),stat=ierr) @@ -529,7 +539,7 @@ subroutine pw90common_wanint_data_dist end if - call comms_bcast(u_matrix_opt(1,1,1),num_bands*num_wann*num_kpts) +! call comms_bcast(u_matrix_opt(1,1,1),num_bands*num_wann*num_kpts) call comms_bcast(lwindow(1,1),num_bands*num_kpts) call comms_bcast(ndimwin(1),num_kpts) end if diff --git a/src/postw90/wan_ham.F90 b/src/postw90/wan_ham.F90 index 936b465c9..e0c04b715 100644 --- a/src/postw90/wan_ham.F90 +++ b/src/postw90/wan_ham.F90 @@ -109,7 +109,7 @@ subroutine wham_get_D_h(delHH,UU,eig,D_h) end subroutine wham_get_D_h - + ! TODO: Remove subroutine wham_get_JJp_list(delHH,UU,eig,JJp_list) !====================================! ! ! @@ -151,7 +151,7 @@ subroutine wham_get_JJp_list(delHH,UU,eig,JJp_list) end subroutine wham_get_JJp_list - + ! TODO: Remove subroutine wham_get_JJm_list(delHH,UU,eig,JJm_list) !====================================! ! ! @@ -194,6 +194,56 @@ subroutine wham_get_JJm_list(delHH,UU,eig,JJm_list) end subroutine wham_get_JJm_list + subroutine wham_get_JJp_JJm_list(delHH,UU,eig,JJp_list,JJm_list) + !===============================================! + ! ! + ! Compute JJ^+_a and JJ^-_a (a=Cartesian index) ! + ! for a list of Fermi energies ! + ! ! + ! This routine is a replacement for ! + ! wham_get_JJp_list and wham_getJJm_list. ! + ! It computes both lists at once in a more ! + ! efficient manner. ! + ! ! + !===============================================! + + use w90_constants, only : dp,cmplx_0,cmplx_i + use w90_parameters, only : num_wann,nfermi,fermi_energy_list + use w90_utility, only : utility_rotate_new + + complex(kind=dp), dimension(:,:), intent(inout) :: delHH + complex(kind=dp), dimension(:,:), intent(in) :: UU + real(kind=dp), dimension(:), intent(in) :: eig + complex(kind=dp), dimension(:,:,:), intent(out) :: JJp_list + complex(kind=dp), dimension(:,:,:), intent(out) :: JJm_list + + integer :: n,m,ife + real(kind=dp) :: fe + + call utility_rotate_new(delHH,UU,num_wann) + do ife=1,nfermi + fe = fermi_energy_list(ife) + do m=1,num_wann + do n=1,num_wann + if(eig(n)>fe .and. eig(m)fe .and. eig(n) Op(A) = A ! + ! transa = 'T' ==> Op(A) = transpose(A) ! + ! transa = 'C' ==> Op(A) = congj(transpose(A)) ! + ! ! + ! similarly for B ! + ! ! + ! Due to the use of assumed shape arrays, this routine is a ! + ! safer and more general replacement for the above routine ! + ! utility_zgemm. Consider removing utility_zgemm and using ! + ! utility_zgemm_new throughout. ! + ! ! + !=============================================================! + + use w90_constants, only: cmplx_0,cmplx_1 + + implicit none + + complex(kind=dp), intent(in) :: a(:,:) + complex(kind=dp), intent(in) :: b(:,:) + complex(kind=dp), intent(out) :: c(:,:) + character(len=1), intent(in), optional :: transa_opt + character(len=1), intent(in), optional :: transb_opt + + integer :: m,n,k + character(len=1) :: transa, transb + + transa='N' + transb='N' + if(present(transa_opt)) transa=transa_opt + if(present(transb_opt)) transb=transb_opt + + ! m ... number of rows in Op(A) and C + ! n ... number of columns in Op(B) and C + ! k ... number of columns in Op(A) resp. rows in Op(B) + m = size(c,1) + n = size(c,2) + + if(transa /= 'N') then + k = size(a,1) + else + k = size(a,2) + end if + + call zgemm(transa,transb,m,n,k,cmplx_1,a,size(a,1),b,size(b,1),cmplx_0,c,m) + + end subroutine utility_zgemm_new + + !=============================================================! + subroutine utility_zgemmm(a, transa, b, transb, c, transc, & + prod1, eigval, prod2) + !===============================================================! + ! Returns the complex matrix-matrix-matrix product ! + ! --> prod1 = op(a).op(b).op(c), ! + ! where op(a/b/c) are defined according to transa/transb/transc ! + ! (see also documentation of utility_zgemm above) ! + ! ! + ! If eigval and prod2 are present, also ! + ! --> prod2 = op(a).diag(eigval).op(b).op(c) ! + ! is returned. ! + !===============================================================! + + complex(kind=dp), dimension(:,:), intent(in) :: a, b, c + character(len=1), intent(in) :: transa, transb, transc + real(kind=dp), dimension(:), optional, & + intent(in) :: eigval + complex(kind=dp), dimension(:,:), optional, & + intent(out) :: prod1, prod2 + + complex(kind=dp), dimension(:,:), allocatable :: tmp + integer :: nb, mc, i, j + + ! query matrix sizes + ! naming convention: + ! matrix op(a) [resp. op(b) and op(c)] is of size na x ma [resp. nb x mb and nc x mc] + ! only nb (=ma) and mc are explicitly needed + if(transb /= 'N') then + nb = size(b,2) + else + nb = size(b,1) + end if + if(transc /= 'N') then + mc = size(c,1) + else + mc = size(c,2) + end if + + ! tmp = op(b).op(c) + allocate(tmp(nb,mc)) + call utility_zgemm_new(b, c, tmp, transb, transc) + + ! prod1 = op(a).tmp + if(present(prod1)) then + call utility_zgemm_new(a, tmp, prod1, transa, 'N') + end if + + if(present(prod2) .and. present(eigval)) then + ! tmp = diag(eigval).tmp + forall(i=1:nb, j=1:mc) + tmp(i,j) = eigval(i) * tmp(i,j) + end forall + ! prod2 = op(a).tmp + call utility_zgemm_new(a, tmp, prod2, transa, 'N') + end if + end subroutine !=================================================================== @@ -574,6 +691,43 @@ function utility_rotate(mat,rot,dim) end function utility_rotate + !===========================================================! + subroutine utility_rotate_new(mat,rot,N,reverse) + !==============================================================! + ! ! + ! Rotates the N x N matrix 'mat' according to ! + ! * (rot)^dagger.mat.rot (reverse = .false. or not present) OR ! + ! * rot.mat.(rot)^dagger (reverse = .true.), ! + ! where 'rot' is a unitary matrix. ! + ! The matrix 'mat' is overwritten. ! + ! ! + !==============================================================! + + use w90_constants, only : dp + + integer, intent(in) :: N + logical, optional, intent(in) :: reverse + complex(kind=dp), intent(inout) :: mat(N,N) + complex(kind=dp), intent(in) :: rot(N,N) + complex(kind=dp) :: tmp(N,N) + logical :: rev + + if(.not. present(reverse)) then + rev = .false. + else + rev = reverse + end if + + if(rev) then + call utility_zgemm_new(rot, mat, tmp, 'N', 'C') + call utility_zgemm_new(rot, tmp, mat, 'N', 'C') + else + call utility_zgemm_new(mat, rot, tmp, 'C', 'N') + call utility_zgemm_new(tmp, rot, mat, 'C', 'N') + end if + + end subroutine utility_rotate_new + !===========================================================! function utility_matmul_diag(mat1,mat2,dim) !===========================================================! @@ -617,9 +771,10 @@ function utility_rotate_diag(mat,rot,dim) complex(kind=dp) :: utility_rotate_diag(dim) complex(kind=dp) :: mat(dim,dim) complex(kind=dp) :: rot(dim,dim) + complex(kind=dp) :: tmp(dim,dim) - - utility_rotate_diag=utility_matmul_diag(matmul(transpose(conjg(rot)),mat),rot,dim) + call utility_zgemm_new(rot, mat, tmp, 'C', 'N') + utility_rotate_diag=utility_matmul_diag(tmp,rot,dim) end function utility_rotate_diag @@ -643,6 +798,61 @@ function utility_commutator_diag(mat1,mat2,dim) end function utility_commutator_diag + !===================================================! + function utility_re_tr_prod(a,b) + !================================================! + ! ! + ! Return Re(tr(a.b)), i.e. the real part of the ! + ! trace of the matrix product of a and b. ! + ! ! + !================================================! + use w90_constants, only : dp,cmplx_0,cmplx_i + + + complex(kind=dp), dimension(:,:), intent(in) :: a, b + real(kind=dp) :: utility_re_tr_prod + real(kind=dp) :: s + integer :: i, j, n, m + + n = min(size(a,1),size(b,2)) + m = min(size(a,2),size(b,1)) + + s = 0 + do i=1,n + do j=1,m + s = s + dble(a(i,j) * b(j,i)) + end do + end do + utility_re_tr_prod = s + end function + + !===================================================! + function utility_im_tr_prod(a,b) + !====================================================! + ! ! + ! Return Im(tr(a.b)), i.e. the imaginary part of the ! + ! trace of the matrix product of a and b. ! + ! ! + !====================================================! + use w90_constants, only : dp,cmplx_0,cmplx_i + + complex(kind=dp), dimension(:,:), intent(in) :: a, b + + real(kind=dp) :: utility_im_tr_prod + real(kind=dp) :: s + integer :: i, j, n, m + + n = min(size(a,1),size(b,2)) + m = min(size(a,2),size(b,1)) + + s = 0 + do i=1,n + do j=1,m + s = s + aimag(a(i,j) * b(j,i)) + end do + end do + utility_im_tr_prod = s + end function !===================================================! function utility_re_tr(mat) diff --git a/test-suite/checkpoints/fe_postw90/Fe.amn b/test-suite/checkpoints/fe_postw90/Fe.amn new file mode 100644 index 000000000..426e0bb81 --- /dev/null +++ b/test-suite/checkpoints/fe_postw90/Fe.amn @@ -0,0 +1,4034 @@ + Created on 27Mar2017 at 18:44: 4 + 28 8 18 + 1 1 1 0.000000000091 0.000000000056 + 2 1 1 -0.206964625100 -0.557377161463 + 3 1 1 0.002898152892 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0.002157762584 + 0.095096393572 -0.097144407735 + 0.000270679755 -0.000192083860 diff --git a/test-suite/checkpoints/fe_postw90/Fe.uHu.bz2 b/test-suite/checkpoints/fe_postw90/Fe.uHu.bz2 new file mode 100644 index 000000000..faa6d86fe Binary files /dev/null and b/test-suite/checkpoints/fe_postw90/Fe.uHu.bz2 differ diff --git a/test-suite/checkpoints/fe_postw90/Fe.win b/test-suite/checkpoints/fe_postw90/Fe.win new file mode 100644 index 000000000..f40aca184 --- /dev/null +++ b/test-suite/checkpoints/fe_postw90/Fe.win @@ -0,0 +1,61 @@ +num_bands = 28 +num_wann = 18 + +dis_win_min = -8.0d0 +dis_win_max = 70.0d0 +dis_froz_min = -8.0d0 +dis_froz_max = 30.0d0 +dis_num_iter = 500 + +num_iter = 200 +dis_mix_ratio = 1.0 + +spinors = true +begin projections +Fe: sp3d2;dxy;dxz;dyz +end projections + +fermi_energy = 12.6279 + +berry = true +berry_task = ahc+morb +berry_kmesh = 10 10 10 + +!kpath = true +!kpath_task = bands+morb +!kpath_num_points=500 +begin kpoint_path +G 0.0000 0.0000 0.0000 H 0.500 -0.5000 -0.5000 +H 0.500 -0.5000 -0.5000 P 0.7500 0.2500 -0.2500 +end kpoint_path + +#kslice = true +#kslice_task = morb+fermi_lines +#kslice_2dkmesh = 50 50 +#kslice_corner = 0.0 0.0 0.0 +#kslice_b1 = 0.5 -0.5 -0.5 +#kslice_b2 = 0.5 0.5 0.5 + +begin unit_cell_cart +bohr + 2.71175 2.71175 2.71175 +-2.71175 2.71175 2.71175 +-2.71175 -2.71175 2.71175 +end unit_cell_cart + +begin atoms_frac +Fe 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 2 2 2 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.50000000 + 0.00000000 0.50000000 0.00000000 + 0.00000000 0.50000000 0.50000000 + 0.50000000 0.00000000 0.00000000 + 0.50000000 0.00000000 0.50000000 + 0.50000000 0.50000000 0.00000000 + 0.50000000 0.50000000 0.50000000 +end kpoints diff --git a/test-suite/checkpoints/fe_postw90/Makefile b/test-suite/checkpoints/fe_postw90/Makefile new file mode 100644 index 000000000..c822a1c8a --- /dev/null +++ b/test-suite/checkpoints/fe_postw90/Makefile @@ -0,0 +1,8 @@ +all: $(patsubst %.win, %.chk.fmt.bz2, $(wildcard *.win)) + +%.chk.fmt.bz2: %.win + $(eval SEEDNAME:=$(patsubst %.win, %, $<)) + echo $(SEEDNAME) + ../../../wannier90.x $< && ../../../w90chk2chk.x -u2f $(SEEDNAME) && bzip2 $(SEEDNAME).chk.fmt && rm $(SEEDNAME).chk + +.PHONY: all \ No newline at end of file diff --git a/test-suite/tests/jobconfig b/test-suite/tests/jobconfig index 539cb6863..fea1b2f95 100644 --- a/test-suite/tests/jobconfig +++ b/test-suite/tests/jobconfig @@ -144,6 +144,69 @@ program = POSTW90_GENINTERPDAT_OK inputs_args = ('silicon.win', '') output = silicon_geninterp.dat +# Test of AHC for bcc iron +[testpostw90_fe_ahc/] +program = POSTW90_WPOUT_OK +inputs_args = ('Fe.win', '') +output = Fe.wpout + +# Test of Orbital Magnetisation for bcc iron +[testpostw90_fe_morb/] +program = POSTW90_WPOUT_OK +inputs_args = ('Fe.win', '') +output = Fe.wpout + +# Test of AHC plus Orbital Magnetisation for bcc iron +[testpostw90_fe_morbandahc/] +program = POSTW90_WPOUT_OK +inputs_args = ('Fe.win', '') +output = Fe.wpout + +# Test of KPATH Berry Curvature plus Orbital Magnetisation for bcc iron +[testpostw90_fe_kpathmorbcurv/] +program = POSTW90_MORBDAT_OK +inputs_args = ('Fe.win', '') +output = Fe-morb.dat + +# Test of KPATH Berry Curvature for bcc iron +[testpostw90_fe_kpathcurv/] +program = POSTW90_CURVDAT_OK +inputs_args = ('Fe.win', '') +output = Fe-curv.dat + +# Test of KSLICE Berry Curvature for bcc iron +[testpostw90_fe_kslicecurv/] +program = POSTW90_CURVDAT_OK +inputs_args = ('Fe.win', '') +output = Fe-kslice-curv.dat + +# Test of KSLICE Morb for bcc iron +[testpostw90_fe_kslicemorb/] +program = POSTW90_MORBDAT_OK +inputs_args = ('Fe.win', '') +output = Fe-kslice-morb.dat + +# Test of Kubo JDOS for bcc iron +[testpostw90_fe_kubo_jdos/] +program = POSTW90_JDOS_OK +inputs_args = ('Fe.win', '') +output = Fe-jdos.dat + +# Test of Kubo Axy for bcc iron +[testpostw90_fe_kubo_Axy/] +program = POSTW90_KUBO_OK +inputs_args = ('Fe.win', '') +output = Fe-kubo_A_xy.dat + +# Test of Kubo Szz for bcc iron +[testpostw90_fe_kubo_Szz/] +program = POSTW90_KUBO_OK +inputs_args = ('Fe.win', '') +output = Fe-kubo_S_zz.dat + + + + [categories] wannier_only = testw90_* diff --git a/test-suite/tests/testpostw90_fe_ahc/.gitignore b/test-suite/tests/testpostw90_fe_ahc/.gitignore new file mode 100644 index 000000000..d49eb152d --- /dev/null +++ b/test-suite/tests/testpostw90_fe_ahc/.gitignore @@ -0,0 +1,3 @@ +*.wpout +*.chk +w90chk2chk.log diff --git a/test-suite/tests/testpostw90_fe_ahc/Fe.amn b/test-suite/tests/testpostw90_fe_ahc/Fe.amn new file mode 100644 index 000000000..426e0bb81 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_ahc/Fe.amn @@ -0,0 +1,4034 @@ + Created on 27Mar2017 at 18:44: 4 + 28 8 18 + 1 1 1 0.000000000091 0.000000000056 + 2 1 1 -0.206964625100 -0.557377161463 + 3 1 1 0.002898152892 0.003818064422 + 4 1 1 -0.000000008093 -0.000000013943 + 5 1 1 -0.002888340366 0.004053917819 + 6 1 1 0.000000005012 0.000000008693 + 7 1 1 -0.000000004770 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0.002157762584 + 0.095096393572 -0.097144407735 + 0.000270679755 -0.000192083860 diff --git a/test-suite/tests/testpostw90_fe_ahc/Fe.win b/test-suite/tests/testpostw90_fe_ahc/Fe.win new file mode 100644 index 000000000..3158b32b8 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_ahc/Fe.win @@ -0,0 +1,63 @@ +num_bands = 28 +num_wann = 18 + +dis_win_min = -8.0d0 +dis_win_max = 70.0d0 +dis_froz_min = -8.0d0 +dis_froz_max = 30.0d0 +dis_num_iter = 500 + +num_iter = 200 +dis_mix_ratio = 1.0 + +spinors = true +begin projections +Fe: sp3d2;dxy;dxz;dyz +end projections + +fermi_energy = 12.6279 + +uHu_formatted = .true. + +berry = true +berry_task = ahc!+morb +berry_kmesh = 10 10 10 + +!kpath = true +!kpath_task = bands+morb +!kpath_num_points=500 +begin kpoint_path +G 0.0000 0.0000 0.0000 H 0.500 -0.5000 -0.5000 +H 0.500 -0.5000 -0.5000 P 0.7500 0.2500 -0.2500 +end kpoint_path + +#kslice = true +#kslice_task = morb+fermi_lines +#kslice_2dkmesh = 50 50 +#kslice_corner = 0.0 0.0 0.0 +#kslice_b1 = 0.5 -0.5 -0.5 +#kslice_b2 = 0.5 0.5 0.5 + +begin unit_cell_cart +bohr + 2.71175 2.71175 2.71175 +-2.71175 2.71175 2.71175 +-2.71175 -2.71175 2.71175 +end unit_cell_cart + +begin atoms_frac +Fe 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 2 2 2 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.50000000 + 0.00000000 0.50000000 0.00000000 + 0.00000000 0.50000000 0.50000000 + 0.50000000 0.00000000 0.00000000 + 0.50000000 0.00000000 0.50000000 + 0.50000000 0.50000000 0.00000000 + 0.50000000 0.50000000 0.50000000 +end kpoints diff --git a/test-suite/tests/testpostw90_fe_ahc/Makefile b/test-suite/tests/testpostw90_fe_ahc/Makefile new file mode 100644 index 000000000..5c6b82c89 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_ahc/Makefile @@ -0,0 +1,8 @@ +all: $(patsubst %.chk.fmt.bz2, %.chk, $(wildcard *.chk.fmt.bz2)) + +%.chk: %.chk.fmt.bz2 + $(eval SEEDNAME:=$(patsubst %.chk.fmt.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).chk.fmt && ../../../w90chk2chk.x -f2u $(SEEDNAME) && rm $(SEEDNAME).chk.fmt + +.PHONY: all \ No newline at end of file diff --git a/test-suite/tests/testpostw90_fe_ahc/benchmark.out.default.inp=Fe.win b/test-suite/tests/testpostw90_fe_ahc/benchmark.out.default.inp=Fe.win new file mode 100644 index 000000000..c4a7a4a4b --- /dev/null +++ b/test-suite/tests/testpostw90_fe_ahc/benchmark.out.default.inp=Fe.win @@ -0,0 +1,253 @@ + + +---------------------------------------------------+ + | | + | WANNIER90 | + | | + +---------------------------------------------------+ + | | + | Welcome to the Maximally-Localized | + | Generalized Wannier Functions code | + | http://www.wannier.org | + | | + | Wannier90 v2.x Authors: | + | Arash A. Mostofi (Imperial College London) | + | Giovanni Pizzi (EPFL) | + | Ivo Souza (Universidad del Pais Vasco) | + | Jonathan R. Yates (University of Oxford) | + | | + | Wannier90 Contributors: | + | Young-Su Lee (KIST, S. Korea) | + | Matthew Shelley (Imperial College London) | + | Nicolas Poilvert (Penn State University) | + | Raffaello Bianco (Paris 6 and CNRS) | + | Gabriele Sclauzero (ETH Zurich) | + | David Strubbe (MIT, USA) | + | Rei Sakuma (Lund University, Sweden) | + | Yusuke Nomura (U. Tokyo, Japan) | + | Takashi Koretsune (Riken, Japan) | + | Yoshiro Nohara (ASMS Co. Ltd., Japan) | + | Ryotaro Arita (Riken, Japan) | + | Lorenzo Paulatto (UPMC Paris) | + | Florian Thole (ETH Zurich) | + | Pablo Garcia Fernandez (Unican, Spain) | + | Dominik Gresch (ETH Zurich) | + | Samuel Ponce (University of Oxford) | + | Marco Gibertini (EPFL) | + | Christian Stieger (ETHZ, CH) | + | Stepan Tsirkin (Universidad del Pais Vasco) | + | | + | Wannier77 Authors: | + | Nicola Marzari (EPFL) | + | Ivo Souza (Universidad del Pais Vasco) | + | David Vanderbilt (Rutgers University) | + | | + | Please cite | + | | + | [ref] "An updated version of Wannier90: | + | A Tool for Obtaining Maximally Localised | + | Wannier Functions", A. A. Mostofi, | + | J. R. Yates, G. Pizzi, Y. S. Lee, | + | I. Souza, D. Vanderbilt and N. Marzari, | + | Comput. Phys. Commun. 185, 2309 (2014) | + | http://dx.doi.org/10.1016/j.cpc.2014.05.003| + | | + | in any publications arising from the use of | + | this code. For the method please cite | + | | + | [ref] "Maximally Localized Generalised Wannier | + | Functions for Composite Energy Bands" | + | N. Marzari and D. Vanderbilt | + | Phys. Rev. B 56 12847 (1997) | + | | + | [ref] "Maximally Localized Wannier Functions | + | for Entangled Energy Bands" | + | I. Souza, N. Marzari and D. Vanderbilt | + | Phys. Rev. B 65 035109 (2001) | + | | + | | + | Copyright (c) 1996-2017 | + | Arash A. Mostofi, Jonathan R. Yates, | + | Young-Su Lee, Giovanni Pizzi, Ivo Souza, | + | David Vanderbilt and Nicola Marzari | + | | + | Release: 2.1.0 13th January 2017 | + | | + | This program is free software; you can | + | redistribute it and/or modify it under the terms | + | of the GNU General Public License as published by | + | the Free Software Foundation; either version 2 of | + | the License, or (at your option) any later version| + | | + | This program is distributed in the hope that it | + | will be useful, but WITHOUT ANY WARRANTY; without | + | even the implied warranty of MERCHANTABILITY or | + | FITNESS FOR A PARTICULAR PURPOSE. See the GNU | + | General Public License for more details. | + | | + | You should have received a copy of the GNU General| + | Public License along with this program; if not, | + | write to the Free Software Foundation, Inc., | + | 675 Mass Ave, Cambridge, MA 02139, USA. | + | | + +---------------------------------------------------+ + | Execution started on 9Dec2017 at 21:26:46 | + +---------------------------------------------------+ + + ****************************************************************************** + * -> Using CODATA 2006 constant values * + * (http://physics.nist.gov/cuu/Constants/index.html) * + * -> Using Bohr value from CODATA * + ****************************************************************************** + + + Running in serial (with parallel executable) + + ------ + SYSTEM + ------ + + Lattice Vectors (Ang) + a_1 1.434996 1.434996 1.434996 + a_2 -1.434996 1.434996 1.434996 + a_3 -1.434996 -1.434996 1.434996 + + Unit Cell Volume: 11.81986 (Ang^3) + + Reciprocal-Space Vectors (Ang^-1) + b_1 2.189269 0.000000 2.189269 + b_2 -2.189269 2.189269 0.000000 + b_3 0.000000 -2.189269 2.189269 + + *----------------------------------------------------------------------------* + | Site Fractional Coordinate Cartesian Coordinate (Ang) | + +----------------------------------------------------------------------------+ + | Fe 1 0.00000 0.00000 0.00000 | 0.00000 0.00000 0.00000 | + *----------------------------------------------------------------------------* + + + *-------------------------------- POSTW90 -----------------------------------* + | Number of Wannier Functions : 18 | + | Number of electrons per state : 1 | + | Scissor shift applied to conduction bands : 0.000 | + | Number of valence bands : not defined | + | Fermi energy (eV) : 12.628 | + | Output verbosity (1=low, 5=high) : 1 | + | Timing Level (1=low, 5=high) : 1 | + | Optimisation (0=memory, 3=speed) : 3 | + | Length Unit : Ang | + *----------------------------------------------------------------------------* + *------------------------ Global Smearing Parameters ------------------------* + | Adaptive width smearing : T | + | Adaptive smearing factor : 1.414 | + | Maximum allowed smearing width (eV) : 1.000 | + | Smearing Function Gaussian | + | Global interpolation k-points defined : F | + *----------------------------------------------------------------------------* + *----------------------------------------------------------------------------* + *--------------------------------- BERRY ------------------------------------* + | Compute Berry Phase related properties : T | + | Compute Optical Conductivity and JDOS : F | + | Compute Anomalous Hall Conductivity : T | + | Compute Orbital Magnetisation : F | + | Lower frequency for optical conductivity : 0.000 | + | Upper frequency for optical conductivity : 18.039 | + | Step size for optical conductivity : 0.010 | + | Upper eigenvalue for optical conductivity : 30.667 | + | Using global smearing parameters | + | Grid size : 10 x 10 x 10 | + | Adaptive refinement : none | + *----------------------------------------------------------------------------* + Time to read parameters 0.003 (sec) + + *---------------------------------- K-MESH ----------------------------------* + +----------------------------------------------------------------------------+ + | Distance to Nearest-Neighbour Shells | + | ------------------------------------ | + | Shell Distance (Ang^-1) Multiplicity | + | ----- ----------------- ------------ | + | 1 1.548047 12 | + | 2 2.189269 6 | + | 3 2.681296 24 | + | 4 3.096094 12 | + | 5 3.461538 24 | + | 6 3.791925 8 | + | 7 4.095747 48 | + | 8 4.378538 6 | + | 9 4.644140 36 | + | 10 4.895354 24 | + | 11 5.134290 24 | + | 12 5.362592 24 | + +----------------------------------------------------------------------------+ + | The b-vectors are chosen automatically | + | The following shells are used: 1 | + +----------------------------------------------------------------------------+ + | Shell # Nearest-Neighbours | + | ----- -------------------- | + | 1 12 | + +----------------------------------------------------------------------------+ + | Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] | + +----------------------------------------------------------------------------+ + | b_k Vectors (Ang^-1) and Weights (Ang^2) | + | ---------------------------------------- | + | No. b_k(x) b_k(y) b_k(z) w_b | + | --- -------------------------------- -------- | + | 1 0.000000 -1.094634 1.094634 0.104321 | + | 2 -1.094634 1.094634 0.000000 0.104321 | + | 3 -1.094634 0.000000 1.094634 0.104321 | + | 4 1.094634 0.000000 1.094634 0.104321 | + | 5 0.000000 1.094634 1.094634 0.104321 | + | 6 0.000000 1.094634 -1.094634 0.104321 | + | 7 1.094634 1.094634 0.000000 0.104321 | + | 8 1.094634 -1.094634 0.000000 0.104321 | + | 9 1.094634 0.000000 -1.094634 0.104321 | + | 10 -1.094634 0.000000 -1.094634 0.104321 | + | 11 -1.094634 -1.094634 0.000000 0.104321 | + | 12 0.000000 -1.094634 -1.094634 0.104321 | + +----------------------------------------------------------------------------+ + | b_k Directions (Ang^-1) | + | ----------------------- | + | No. x y z | + | --- -------------------------------- | + | 1 0.000000 -1.094634 1.094634 | + | 2 -1.094634 1.094634 0.000000 | + | 3 -1.094634 0.000000 1.094634 | + | 4 1.094634 0.000000 1.094634 | + | 5 0.000000 1.094634 1.094634 | + | 6 1.094634 1.094634 0.000000 | + +----------------------------------------------------------------------------+ + + Time to get kmesh 0.014 (sec) + Reading restart information from file Fe.chk : + written on 9Dec2017 at 21:01:42 ... done + + + Time to read and process 0.003 (sec) + + Reading overlaps from Fe.mmn in get_AA_R : Created on 27Mar2017 at 18:44:12 + + + Properties calculated in module b e r r y + ------------------------------------------ + + * Anomalous Hall conductivity + + Interpolation grid: 10 10 10 + + Fermi energy (ev): 12.6279 + + AHC (S/cm) x y z + ========== 0.0334 0.0572 1222.1510 + + + Total Execution Time 0.690 (sec) + + *===========================================================================* + | TIMING INFORMATION | + *===========================================================================* + | Tag Ncalls Time (s)| + |---------------------------------------------------------------------------| + |kmesh: get : 1 0.014| + *---------------------------------------------------------------------------* + + + All done: postw90 exiting diff --git a/test-suite/tests/testpostw90_fe_kpathcurv/.gitignore b/test-suite/tests/testpostw90_fe_kpathcurv/.gitignore new file mode 100644 index 000000000..d4b9c0bb2 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kpathcurv/.gitignore @@ -0,0 +1,8 @@ +*.wpout +*.chk +w90chk2chk.log +*.uHu +*.dat +*.py +*.kpt +*.wpout diff --git a/test-suite/tests/testpostw90_fe_kpathcurv/Fe.amn b/test-suite/tests/testpostw90_fe_kpathcurv/Fe.amn new file mode 100644 index 000000000..426e0bb81 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kpathcurv/Fe.amn @@ -0,0 +1,4034 @@ + Created on 27Mar2017 at 18:44: 4 + 28 8 18 + 1 1 1 0.000000000091 0.000000000056 + 2 1 1 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-0.067308845453 + -0.126794369113 0.068780749304 + 0.017790712905 -0.064468350230 + 0.000458572238 -0.000071583114 + 0.166260341772 0.366803449783 + 0.227585032483 -0.047655940638 + -0.000059589611 0.000084471812 + 0.000401175053 -0.000281543152 + -0.000024657769 0.000010182832 + 0.000870791305 0.000001146926 + -0.000028279581 0.000064769299 + -0.000135637891 0.000014539931 + 0.122755680664 -0.060686412804 + -0.192757995832 0.002157762584 + 0.095096393572 -0.097144407735 + 0.000270679755 -0.000192083860 diff --git a/test-suite/tests/testpostw90_fe_kpathcurv/Fe.uHu.bz2 b/test-suite/tests/testpostw90_fe_kpathcurv/Fe.uHu.bz2 new file mode 120000 index 000000000..d1caae8b3 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kpathcurv/Fe.uHu.bz2 @@ -0,0 +1 @@ +../../checkpoints/fe_postw90/Fe.uHu.bz2 \ No newline at end of file diff --git a/test-suite/tests/testpostw90_fe_kpathcurv/Fe.win b/test-suite/tests/testpostw90_fe_kpathcurv/Fe.win new file mode 100644 index 000000000..454f64c4a --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kpathcurv/Fe.win @@ -0,0 +1,63 @@ +num_bands = 28 +num_wann = 18 + +dis_win_min = -8.0d0 +dis_win_max = 70.0d0 +dis_froz_min = -8.0d0 +dis_froz_max = 30.0d0 +dis_num_iter = 500 + +num_iter = 200 +dis_mix_ratio = 1.0 + +spinors = true +begin projections +Fe: sp3d2;dxy;dxz;dyz +end projections + +fermi_energy = 12.6279 + +uHu_formatted = .true. + +!berry = true +berry_task = ahc+morb +berry_kmesh = 10 10 10 + +kpath = true +kpath_task = bands+morb+curv +kpath_num_points=10 +begin kpoint_path +G 0.0000 0.0000 0.0000 H 0.500 -0.5000 -0.5000 +H 0.500 -0.5000 -0.5000 P 0.7500 0.2500 -0.2500 +end kpoint_path + +#kslice = true +#kslice_task = morb+fermi_lines +#kslice_2dkmesh = 50 50 +#kslice_corner = 0.0 0.0 0.0 +#kslice_b1 = 0.5 -0.5 -0.5 +#kslice_b2 = 0.5 0.5 0.5 + +begin unit_cell_cart +bohr + 2.71175 2.71175 2.71175 +-2.71175 2.71175 2.71175 +-2.71175 -2.71175 2.71175 +end unit_cell_cart + +begin atoms_frac +Fe 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 2 2 2 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.50000000 + 0.00000000 0.50000000 0.00000000 + 0.00000000 0.50000000 0.50000000 + 0.50000000 0.00000000 0.00000000 + 0.50000000 0.00000000 0.50000000 + 0.50000000 0.50000000 0.00000000 + 0.50000000 0.50000000 0.50000000 +end kpoints diff --git a/test-suite/tests/testpostw90_fe_kpathcurv/Makefile b/test-suite/tests/testpostw90_fe_kpathcurv/Makefile new file mode 100644 index 000000000..e8d011a2f --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kpathcurv/Makefile @@ -0,0 +1,14 @@ +all: $(patsubst %.chk.fmt.bz2, %.chk, $(wildcard *.chk.fmt.bz2)) $(patsubst %.uHu.bz2, %.uHu, $(wildcard *.uHu.bz2)) + +%.chk: %.chk.fmt.bz2 + $(eval SEEDNAME:=$(patsubst %.chk.fmt.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).chk.fmt && ../../../w90chk2chk.x -f2u $(SEEDNAME) && rm $(SEEDNAME).chk.fmt + +%.uHu: %.uHu.bz2 + $(eval SEEDNAME:=$(patsubst %.uHu.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).uHu + + +.PHONY: all diff --git a/test-suite/tests/testpostw90_fe_kpathcurv/benchmark.out.default.inp=Fe.win b/test-suite/tests/testpostw90_fe_kpathcurv/benchmark.out.default.inp=Fe.win new file mode 100644 index 000000000..3f21ac04a --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kpathcurv/benchmark.out.default.inp=Fe.win @@ -0,0 +1,21 @@ + 0.00000000E+00 -0.47753935E-19 0.52889654E-20 0.47482879E-21 + 0.21892688E+00 -0.60208601E-06 -0.17632139E-06 0.34409405E-03 + 0.43785377E+00 -0.10052614E-04 0.32238014E-04 -0.56272413E+01 + 0.65678065E+00 0.37738043E-04 0.17849384E-04 -0.11782348E+01 + 0.87570753E+00 0.55821018E-06 0.56019407E-04 0.12345769E+01 + 0.10946344E+01 0.29476526E-04 -0.17210764E-04 0.21994447E+00 + 0.13135613E+01 0.93935198E-05 -0.98008203E-05 -0.68495750E-01 + 0.15324882E+01 0.25256796E-05 -0.20481755E-05 -0.13036808E-01 + 0.17514151E+01 0.60492190E-06 -0.48246239E-06 -0.14201508E-02 + 0.19703419E+01 0.20017218E-03 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0.002157762584 + 0.095096393572 -0.097144407735 + 0.000270679755 -0.000192083860 diff --git a/test-suite/tests/testpostw90_fe_kpathmorbcurv/Fe.uHu.bz2 b/test-suite/tests/testpostw90_fe_kpathmorbcurv/Fe.uHu.bz2 new file mode 120000 index 000000000..d1caae8b3 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kpathmorbcurv/Fe.uHu.bz2 @@ -0,0 +1 @@ +../../checkpoints/fe_postw90/Fe.uHu.bz2 \ No newline at end of file diff --git a/test-suite/tests/testpostw90_fe_kpathmorbcurv/Fe.win b/test-suite/tests/testpostw90_fe_kpathmorbcurv/Fe.win new file mode 100644 index 000000000..454f64c4a --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kpathmorbcurv/Fe.win @@ -0,0 +1,63 @@ +num_bands = 28 +num_wann = 18 + +dis_win_min = -8.0d0 +dis_win_max = 70.0d0 +dis_froz_min = -8.0d0 +dis_froz_max = 30.0d0 +dis_num_iter = 500 + +num_iter = 200 +dis_mix_ratio = 1.0 + +spinors = true +begin projections +Fe: sp3d2;dxy;dxz;dyz +end projections + +fermi_energy = 12.6279 + +uHu_formatted = .true. + +!berry = true +berry_task = ahc+morb +berry_kmesh = 10 10 10 + +kpath = true +kpath_task = bands+morb+curv +kpath_num_points=10 +begin kpoint_path +G 0.0000 0.0000 0.0000 H 0.500 -0.5000 -0.5000 +H 0.500 -0.5000 -0.5000 P 0.7500 0.2500 -0.2500 +end kpoint_path + +#kslice = true +#kslice_task = morb+fermi_lines +#kslice_2dkmesh = 50 50 +#kslice_corner = 0.0 0.0 0.0 +#kslice_b1 = 0.5 -0.5 -0.5 +#kslice_b2 = 0.5 0.5 0.5 + +begin unit_cell_cart +bohr + 2.71175 2.71175 2.71175 +-2.71175 2.71175 2.71175 +-2.71175 -2.71175 2.71175 +end unit_cell_cart + +begin atoms_frac +Fe 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 2 2 2 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.50000000 + 0.00000000 0.50000000 0.00000000 + 0.00000000 0.50000000 0.50000000 + 0.50000000 0.00000000 0.00000000 + 0.50000000 0.00000000 0.50000000 + 0.50000000 0.50000000 0.00000000 + 0.50000000 0.50000000 0.50000000 +end kpoints diff --git a/test-suite/tests/testpostw90_fe_kpathmorbcurv/Makefile b/test-suite/tests/testpostw90_fe_kpathmorbcurv/Makefile new file mode 100644 index 000000000..e8d011a2f --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kpathmorbcurv/Makefile @@ -0,0 +1,14 @@ +all: $(patsubst %.chk.fmt.bz2, %.chk, $(wildcard *.chk.fmt.bz2)) $(patsubst %.uHu.bz2, %.uHu, $(wildcard *.uHu.bz2)) + +%.chk: %.chk.fmt.bz2 + $(eval SEEDNAME:=$(patsubst %.chk.fmt.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).chk.fmt && ../../../w90chk2chk.x -f2u $(SEEDNAME) && rm $(SEEDNAME).chk.fmt + +%.uHu: %.uHu.bz2 + $(eval SEEDNAME:=$(patsubst %.uHu.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).uHu + + +.PHONY: all diff --git a/test-suite/tests/testpostw90_fe_kpathmorbcurv/benchmark.out.default.inp=Fe.win b/test-suite/tests/testpostw90_fe_kpathmorbcurv/benchmark.out.default.inp=Fe.win new file mode 100644 index 000000000..1b4a577ff --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kpathmorbcurv/benchmark.out.default.inp=Fe.win @@ -0,0 +1,20 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0.12806610E+00 + 0.34449794E+01 -0.36568764E-01 0.36566156E-01 0.14080213E+00 + 0.36556419E+01 -0.36138713E-01 0.36137705E-01 0.16902054E+00 + 0.38663044E+01 0.24298277E-01 -0.24297856E-01 0.26970509E+00 + 0.40852312E+01 -0.24501668E-05 0.16269863E-05 0.16005590E+00 diff --git a/test-suite/tests/testpostw90_fe_kslicecurv/.gitignore b/test-suite/tests/testpostw90_fe_kslicecurv/.gitignore new file mode 100644 index 000000000..d4b9c0bb2 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kslicecurv/.gitignore @@ -0,0 +1,8 @@ +*.wpout +*.chk +w90chk2chk.log +*.uHu +*.dat +*.py +*.kpt +*.wpout diff --git a/test-suite/tests/testpostw90_fe_kslicecurv/Fe.amn b/test-suite/tests/testpostw90_fe_kslicecurv/Fe.amn new file mode 100644 index 000000000..426e0bb81 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kslicecurv/Fe.amn @@ -0,0 +1,4034 @@ + Created on 27Mar2017 at 18:44: 4 + 28 8 18 + 1 1 1 0.000000000091 0.000000000056 + 2 1 1 -0.206964625100 -0.557377161463 + 3 1 1 0.002898152892 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--- /dev/null +++ b/test-suite/tests/testpostw90_fe_kslicecurv/Fe.win @@ -0,0 +1,63 @@ +num_bands = 28 +num_wann = 18 + +dis_win_min = -8.0d0 +dis_win_max = 70.0d0 +dis_froz_min = -8.0d0 +dis_froz_max = 30.0d0 +dis_num_iter = 500 + +num_iter = 200 +dis_mix_ratio = 1.0 + +spinors = true +begin projections +Fe: sp3d2;dxy;dxz;dyz +end projections + +fermi_energy = 12.6279 + +uHu_formatted = .true. + +!berry = true +berry_task = ahc+morb +berry_kmesh = 10 10 10 + +!kpath = true +kpath_task = bands+morb+curv +kpath_num_points=10 +begin kpoint_path +G 0.0000 0.0000 0.0000 H 0.500 -0.5000 -0.5000 +H 0.500 -0.5000 -0.5000 P 0.7500 0.2500 -0.2500 +end kpoint_path + +kslice = true +kslice_task = curv+fermi_lines +kslice_2dkmesh = 5 5 +kslice_corner = 0.0 0.0 0.0 +kslice_b1 = 0.5 -0.5 -0.5 +kslice_b2 = 0.5 0.5 0.5 + +begin unit_cell_cart +bohr + 2.71175 2.71175 2.71175 +-2.71175 2.71175 2.71175 +-2.71175 -2.71175 2.71175 +end unit_cell_cart + +begin atoms_frac +Fe 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 2 2 2 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.50000000 + 0.00000000 0.50000000 0.00000000 + 0.00000000 0.50000000 0.50000000 + 0.50000000 0.00000000 0.00000000 + 0.50000000 0.00000000 0.50000000 + 0.50000000 0.50000000 0.00000000 + 0.50000000 0.50000000 0.50000000 +end kpoints diff --git a/test-suite/tests/testpostw90_fe_kslicecurv/Makefile b/test-suite/tests/testpostw90_fe_kslicecurv/Makefile new file mode 100644 index 000000000..e8d011a2f --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kslicecurv/Makefile @@ -0,0 +1,14 @@ +all: $(patsubst %.chk.fmt.bz2, %.chk, $(wildcard *.chk.fmt.bz2)) $(patsubst %.uHu.bz2, %.uHu, $(wildcard *.uHu.bz2)) + +%.chk: %.chk.fmt.bz2 + $(eval SEEDNAME:=$(patsubst %.chk.fmt.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).chk.fmt && ../../../w90chk2chk.x -f2u $(SEEDNAME) && rm $(SEEDNAME).chk.fmt + +%.uHu: %.uHu.bz2 + $(eval SEEDNAME:=$(patsubst %.uHu.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).uHu + + +.PHONY: all diff --git a/test-suite/tests/testpostw90_fe_kslicecurv/benchmark.out.default.inp=Fe.win b/test-suite/tests/testpostw90_fe_kslicecurv/benchmark.out.default.inp=Fe.win new file mode 100644 index 000000000..2f6d8ba24 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kslicecurv/benchmark.out.default.inp=Fe.win @@ -0,0 +1,37 @@ + -0.47753935E-19 0.52889654E-20 0.47482879E-21 + -0.10052614E-04 0.32238014E-04 -0.56272413E+01 + 0.55821018E-06 0.56019407E-04 0.12345769E+01 + 0.93935198E-05 -0.98008203E-05 -0.68495750E-01 + 0.60492190E-06 -0.48246239E-06 -0.14201508E-02 + -0.16990483E-18 -0.10413556E-19 0.23963820E-19 + 0.97214363E-06 0.58209916E-05 0.40342228E+02 + -0.24834945E-01 0.25803240E-05 0.11103527E-01 + -0.28625071E-01 0.15591791E-05 0.84473374E-01 + 0.61191754E+02 -0.58211944E-03 0.17253705E+02 + 0.38884210E-01 -0.97302794E-06 -0.30312453E-01 + -0.30533304E-07 -0.38962015E-06 0.28927010E-03 + -0.46023500E-04 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0.002157762584 + 0.095096393572 -0.097144407735 + 0.000270679755 -0.000192083860 diff --git a/test-suite/tests/testpostw90_fe_kslicemorb/Fe.uHu.bz2 b/test-suite/tests/testpostw90_fe_kslicemorb/Fe.uHu.bz2 new file mode 120000 index 000000000..d1caae8b3 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kslicemorb/Fe.uHu.bz2 @@ -0,0 +1 @@ +../../checkpoints/fe_postw90/Fe.uHu.bz2 \ No newline at end of file diff --git a/test-suite/tests/testpostw90_fe_kslicemorb/Fe.win b/test-suite/tests/testpostw90_fe_kslicemorb/Fe.win new file mode 100644 index 000000000..264abc88b --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kslicemorb/Fe.win @@ -0,0 +1,63 @@ +num_bands = 28 +num_wann = 18 + +dis_win_min = -8.0d0 +dis_win_max = 70.0d0 +dis_froz_min = -8.0d0 +dis_froz_max = 30.0d0 +dis_num_iter = 500 + +num_iter = 200 +dis_mix_ratio = 1.0 + +spinors = true +begin projections +Fe: sp3d2;dxy;dxz;dyz +end projections + +fermi_energy = 12.6279 + +uHu_formatted = .true. + +!berry = true +berry_task = ahc+morb +berry_kmesh = 10 10 10 + +!kpath = true +kpath_task = bands+morb+curv +kpath_num_points=10 +begin kpoint_path +G 0.0000 0.0000 0.0000 H 0.500 -0.5000 -0.5000 +H 0.500 -0.5000 -0.5000 P 0.7500 0.2500 -0.2500 +end kpoint_path + +kslice = true +kslice_task = morb+fermi_lines +kslice_2dkmesh = 5 5 +kslice_corner = 0.0 0.0 0.0 +kslice_b1 = 0.5 -0.5 -0.5 +kslice_b2 = 0.5 0.5 0.5 + +begin unit_cell_cart +bohr + 2.71175 2.71175 2.71175 +-2.71175 2.71175 2.71175 +-2.71175 -2.71175 2.71175 +end unit_cell_cart + +begin atoms_frac +Fe 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 2 2 2 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.50000000 + 0.00000000 0.50000000 0.00000000 + 0.00000000 0.50000000 0.50000000 + 0.50000000 0.00000000 0.00000000 + 0.50000000 0.00000000 0.50000000 + 0.50000000 0.50000000 0.00000000 + 0.50000000 0.50000000 0.50000000 +end kpoints diff --git a/test-suite/tests/testpostw90_fe_kslicemorb/Makefile b/test-suite/tests/testpostw90_fe_kslicemorb/Makefile new file mode 100644 index 000000000..e8d011a2f --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kslicemorb/Makefile @@ -0,0 +1,14 @@ +all: $(patsubst %.chk.fmt.bz2, %.chk, $(wildcard *.chk.fmt.bz2)) $(patsubst %.uHu.bz2, %.uHu, $(wildcard *.uHu.bz2)) + +%.chk: %.chk.fmt.bz2 + $(eval SEEDNAME:=$(patsubst %.chk.fmt.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).chk.fmt && ../../../w90chk2chk.x -f2u $(SEEDNAME) && rm $(SEEDNAME).chk.fmt + +%.uHu: %.uHu.bz2 + $(eval SEEDNAME:=$(patsubst %.uHu.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).uHu + + +.PHONY: all diff --git a/test-suite/tests/testpostw90_fe_kslicemorb/benchmark.out.default.inp=Fe.win b/test-suite/tests/testpostw90_fe_kslicemorb/benchmark.out.default.inp=Fe.win new file mode 100644 index 000000000..23d24854b --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kslicemorb/benchmark.out.default.inp=Fe.win @@ -0,0 +1,37 @@ + 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+*.chk +w90chk2chk.log +*.uHu +*.dat +*.py +*.kpt +*.wpout diff --git a/test-suite/tests/testpostw90_fe_kubo_Axy/Fe.amn b/test-suite/tests/testpostw90_fe_kubo_Axy/Fe.amn new file mode 100644 index 000000000..426e0bb81 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_Axy/Fe.amn @@ -0,0 +1,4034 @@ + Created on 27Mar2017 at 18:44: 4 + 28 8 18 + 1 1 1 0.000000000091 0.000000000056 + 2 1 1 -0.206964625100 -0.557377161463 + 3 1 1 0.002898152892 0.003818064422 + 4 1 1 -0.000000008093 -0.000000013943 + 5 1 1 -0.002888340366 0.004053917819 + 6 1 1 0.000000005012 0.000000008693 + 7 1 1 -0.000000004770 -0.000000003788 + 8 1 1 -0.000000009278 0.000000000187 + 9 1 1 0.010704951752 0.006524570990 + 10 1 1 -0.000000008724 -0.000000009509 + 11 1 1 -0.091326931879 0.230743090783 + 12 1 1 0.391762558928 0.176533487368 + 13 1 1 0.000008781259 0.000002830961 + 14 1 1 -0.000003292759 0.000006889827 + 15 1 1 -0.000000004078 -0.000000000744 + 16 1 1 0.000004453774 -0.000110636023 + 17 1 1 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0.002157762584 + 0.095096393572 -0.097144407735 + 0.000270679755 -0.000192083860 diff --git a/test-suite/tests/testpostw90_fe_kubo_Axy/Fe.uHu.bz2 b/test-suite/tests/testpostw90_fe_kubo_Axy/Fe.uHu.bz2 new file mode 120000 index 000000000..d1caae8b3 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_Axy/Fe.uHu.bz2 @@ -0,0 +1 @@ +../../checkpoints/fe_postw90/Fe.uHu.bz2 \ No newline at end of file diff --git a/test-suite/tests/testpostw90_fe_kubo_Axy/Fe.win b/test-suite/tests/testpostw90_fe_kubo_Axy/Fe.win new file mode 100644 index 000000000..aae5e5dff --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_Axy/Fe.win @@ -0,0 +1,66 @@ +num_bands = 28 +num_wann = 18 + +dis_win_min = -8.0d0 +dis_win_max = 70.0d0 +dis_froz_min = -8.0d0 +dis_froz_max = 30.0d0 +dis_num_iter = 500 + +num_iter = 200 +dis_mix_ratio = 1.0 + +spinors = true +begin projections +Fe: sp3d2;dxy;dxz;dyz +end projections + +fermi_energy = 12.6279 + +uHu_formatted = .true. + +berry = true +berry_task = kubo +kubo_freq_max = 7.0 +kubo_freq_step = 0.5 + +berry_kmesh = 10 10 10 + +!kpath = true +kpath_task = bands+morb+curv +kpath_num_points=10 +begin kpoint_path +G 0.0000 0.0000 0.0000 H 0.500 -0.5000 -0.5000 +H 0.500 -0.5000 -0.5000 P 0.7500 0.2500 -0.2500 +end kpoint_path + +!kslice = true +kslice_task = curv+fermi_lines +kslice_2dkmesh = 5 5 +kslice_corner = 0.0 0.0 0.0 +kslice_b1 = 0.5 -0.5 -0.5 +kslice_b2 = 0.5 0.5 0.5 + +begin unit_cell_cart +bohr + 2.71175 2.71175 2.71175 +-2.71175 2.71175 2.71175 +-2.71175 -2.71175 2.71175 +end unit_cell_cart + +begin atoms_frac +Fe 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 2 2 2 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.50000000 + 0.00000000 0.50000000 0.00000000 + 0.00000000 0.50000000 0.50000000 + 0.50000000 0.00000000 0.00000000 + 0.50000000 0.00000000 0.50000000 + 0.50000000 0.50000000 0.00000000 + 0.50000000 0.50000000 0.50000000 +end kpoints diff --git a/test-suite/tests/testpostw90_fe_kubo_Axy/Makefile b/test-suite/tests/testpostw90_fe_kubo_Axy/Makefile new file mode 100644 index 000000000..e8d011a2f --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_Axy/Makefile @@ -0,0 +1,14 @@ +all: $(patsubst %.chk.fmt.bz2, %.chk, $(wildcard *.chk.fmt.bz2)) $(patsubst %.uHu.bz2, %.uHu, $(wildcard *.uHu.bz2)) + +%.chk: %.chk.fmt.bz2 + $(eval SEEDNAME:=$(patsubst %.chk.fmt.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).chk.fmt && ../../../w90chk2chk.x -f2u $(SEEDNAME) && rm $(SEEDNAME).chk.fmt + +%.uHu: %.uHu.bz2 + $(eval SEEDNAME:=$(patsubst %.uHu.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).uHu + + +.PHONY: all diff --git a/test-suite/tests/testpostw90_fe_kubo_Axy/benchmark.out.default.inp=Fe.win b/test-suite/tests/testpostw90_fe_kubo_Axy/benchmark.out.default.inp=Fe.win new file mode 100644 index 000000000..dd5d13cd8 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_Axy/benchmark.out.default.inp=Fe.win @@ -0,0 +1,15 @@ + 0.00000000E+00 0.30466638E+03 -0.12328027E-13 + 0.50000000E+00 0.11920666E+03 0.15615522E+03 + 0.10000000E+01 0.79697056E+02 0.16812406E+03 + 0.15000000E+01 0.69237176E+02 0.10445443E+03 + 0.20000000E+01 0.76303609E+02 0.10863667E+03 + 0.25000000E+01 0.11247679E+02 0.16593537E+03 + 0.30000000E+01 -0.40109383E+00 0.86641298E+02 + 0.35000000E+01 -0.72134869E+01 0.10144641E+03 + 0.40000000E+01 -0.18687813E+02 0.88741241E+02 + 0.45000000E+01 -0.26687093E+02 0.73833256E+02 + 0.50000000E+01 -0.32344446E+02 0.39938244E+02 + 0.55000000E+01 -0.29420333E+02 0.16950681E+02 + 0.60000000E+01 -0.22349669E+02 -0.54296522E-01 + 0.65000000E+01 -0.16628721E+02 0.37222112E+01 + 0.70000000E+01 -0.13664703E+02 0.86352392E+01 diff --git a/test-suite/tests/testpostw90_fe_kubo_Szz/.gitignore b/test-suite/tests/testpostw90_fe_kubo_Szz/.gitignore new file mode 100644 index 000000000..d4b9c0bb2 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_Szz/.gitignore @@ -0,0 +1,8 @@ +*.wpout +*.chk +w90chk2chk.log +*.uHu +*.dat +*.py +*.kpt +*.wpout diff --git a/test-suite/tests/testpostw90_fe_kubo_Szz/Fe.amn b/test-suite/tests/testpostw90_fe_kubo_Szz/Fe.amn new file mode 100644 index 000000000..426e0bb81 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_Szz/Fe.amn @@ -0,0 +1,4034 @@ + Created on 27Mar2017 at 18:44: 4 + 28 8 18 + 1 1 1 0.000000000091 0.000000000056 + 2 1 1 -0.206964625100 -0.557377161463 + 3 1 1 0.002898152892 0.003818064422 + 4 1 1 -0.000000008093 -0.000000013943 + 5 1 1 -0.002888340366 0.004053917819 + 6 1 1 0.000000005012 0.000000008693 + 7 1 1 -0.000000004770 -0.000000003788 + 8 1 1 -0.000000009278 0.000000000187 + 9 1 1 0.010704951752 0.006524570990 + 10 1 1 -0.000000008724 -0.000000009509 + 11 1 1 -0.091326931879 0.230743090783 + 12 1 1 0.391762558928 0.176533487368 + 13 1 1 0.000008781259 0.000002830961 + 14 1 1 -0.000003292759 0.000006889827 + 15 1 1 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0.002157762584 + 0.095096393572 -0.097144407735 + 0.000270679755 -0.000192083860 diff --git a/test-suite/tests/testpostw90_fe_kubo_Szz/Fe.uHu.bz2 b/test-suite/tests/testpostw90_fe_kubo_Szz/Fe.uHu.bz2 new file mode 120000 index 000000000..d1caae8b3 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_Szz/Fe.uHu.bz2 @@ -0,0 +1 @@ +../../checkpoints/fe_postw90/Fe.uHu.bz2 \ No newline at end of file diff --git a/test-suite/tests/testpostw90_fe_kubo_Szz/Fe.win b/test-suite/tests/testpostw90_fe_kubo_Szz/Fe.win new file mode 100644 index 000000000..aae5e5dff --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_Szz/Fe.win @@ -0,0 +1,66 @@ +num_bands = 28 +num_wann = 18 + +dis_win_min = -8.0d0 +dis_win_max = 70.0d0 +dis_froz_min = -8.0d0 +dis_froz_max = 30.0d0 +dis_num_iter = 500 + +num_iter = 200 +dis_mix_ratio = 1.0 + +spinors = true +begin projections +Fe: sp3d2;dxy;dxz;dyz +end projections + +fermi_energy = 12.6279 + +uHu_formatted = .true. + +berry = true +berry_task = kubo +kubo_freq_max = 7.0 +kubo_freq_step = 0.5 + +berry_kmesh = 10 10 10 + +!kpath = true +kpath_task = bands+morb+curv +kpath_num_points=10 +begin kpoint_path +G 0.0000 0.0000 0.0000 H 0.500 -0.5000 -0.5000 +H 0.500 -0.5000 -0.5000 P 0.7500 0.2500 -0.2500 +end kpoint_path + +!kslice = true +kslice_task = curv+fermi_lines +kslice_2dkmesh = 5 5 +kslice_corner = 0.0 0.0 0.0 +kslice_b1 = 0.5 -0.5 -0.5 +kslice_b2 = 0.5 0.5 0.5 + +begin unit_cell_cart +bohr + 2.71175 2.71175 2.71175 +-2.71175 2.71175 2.71175 +-2.71175 -2.71175 2.71175 +end unit_cell_cart + +begin atoms_frac +Fe 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 2 2 2 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.50000000 + 0.00000000 0.50000000 0.00000000 + 0.00000000 0.50000000 0.50000000 + 0.50000000 0.00000000 0.00000000 + 0.50000000 0.00000000 0.50000000 + 0.50000000 0.50000000 0.00000000 + 0.50000000 0.50000000 0.50000000 +end kpoints diff --git a/test-suite/tests/testpostw90_fe_kubo_Szz/Makefile b/test-suite/tests/testpostw90_fe_kubo_Szz/Makefile new file mode 100644 index 000000000..e8d011a2f --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_Szz/Makefile @@ -0,0 +1,14 @@ +all: $(patsubst %.chk.fmt.bz2, %.chk, $(wildcard *.chk.fmt.bz2)) $(patsubst %.uHu.bz2, %.uHu, $(wildcard *.uHu.bz2)) + +%.chk: %.chk.fmt.bz2 + $(eval SEEDNAME:=$(patsubst %.chk.fmt.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).chk.fmt && ../../../w90chk2chk.x -f2u $(SEEDNAME) && rm $(SEEDNAME).chk.fmt + +%.uHu: %.uHu.bz2 + $(eval SEEDNAME:=$(patsubst %.uHu.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).uHu + + +.PHONY: all diff --git a/test-suite/tests/testpostw90_fe_kubo_Szz/benchmark.out.default.inp=Fe.win b/test-suite/tests/testpostw90_fe_kubo_Szz/benchmark.out.default.inp=Fe.win new file mode 100644 index 000000000..5b3569f09 --- /dev/null +++ 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b/test-suite/tests/testpostw90_fe_kubo_jdos/.gitignore @@ -0,0 +1,8 @@ +*.wpout +*.chk +w90chk2chk.log +*.uHu +*.dat +*.py +*.kpt +*.wpout diff --git a/test-suite/tests/testpostw90_fe_kubo_jdos/Fe.amn b/test-suite/tests/testpostw90_fe_kubo_jdos/Fe.amn new file mode 100644 index 000000000..426e0bb81 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_jdos/Fe.amn @@ -0,0 +1,4034 @@ + Created on 27Mar2017 at 18:44: 4 + 28 8 18 + 1 1 1 0.000000000091 0.000000000056 + 2 1 1 -0.206964625100 -0.557377161463 + 3 1 1 0.002898152892 0.003818064422 + 4 1 1 -0.000000008093 -0.000000013943 + 5 1 1 -0.002888340366 0.004053917819 + 6 1 1 0.000000005012 0.000000008693 + 7 1 1 -0.000000004770 -0.000000003788 + 8 1 1 -0.000000009278 0.000000000187 + 9 1 1 0.010704951752 0.006524570990 + 10 1 1 -0.000000008724 -0.000000009509 + 11 1 1 -0.091326931879 0.230743090783 + 12 1 1 0.391762558928 0.176533487368 + 13 1 1 0.000008781259 0.000002830961 + 14 1 1 -0.000003292759 0.000006889827 + 15 1 1 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0.002157762584 + 0.095096393572 -0.097144407735 + 0.000270679755 -0.000192083860 diff --git a/test-suite/tests/testpostw90_fe_kubo_jdos/Fe.uHu.bz2 b/test-suite/tests/testpostw90_fe_kubo_jdos/Fe.uHu.bz2 new file mode 120000 index 000000000..d1caae8b3 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_jdos/Fe.uHu.bz2 @@ -0,0 +1 @@ +../../checkpoints/fe_postw90/Fe.uHu.bz2 \ No newline at end of file diff --git a/test-suite/tests/testpostw90_fe_kubo_jdos/Fe.win b/test-suite/tests/testpostw90_fe_kubo_jdos/Fe.win new file mode 100644 index 000000000..aae5e5dff --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_jdos/Fe.win @@ -0,0 +1,66 @@ +num_bands = 28 +num_wann = 18 + +dis_win_min = -8.0d0 +dis_win_max = 70.0d0 +dis_froz_min = -8.0d0 +dis_froz_max = 30.0d0 +dis_num_iter = 500 + +num_iter = 200 +dis_mix_ratio = 1.0 + +spinors = true +begin projections +Fe: sp3d2;dxy;dxz;dyz +end projections + +fermi_energy = 12.6279 + +uHu_formatted = .true. + +berry = true +berry_task = kubo +kubo_freq_max = 7.0 +kubo_freq_step = 0.5 + +berry_kmesh = 10 10 10 + +!kpath = true +kpath_task = bands+morb+curv +kpath_num_points=10 +begin kpoint_path +G 0.0000 0.0000 0.0000 H 0.500 -0.5000 -0.5000 +H 0.500 -0.5000 -0.5000 P 0.7500 0.2500 -0.2500 +end kpoint_path + +!kslice = true +kslice_task = curv+fermi_lines +kslice_2dkmesh = 5 5 +kslice_corner = 0.0 0.0 0.0 +kslice_b1 = 0.5 -0.5 -0.5 +kslice_b2 = 0.5 0.5 0.5 + +begin unit_cell_cart +bohr + 2.71175 2.71175 2.71175 +-2.71175 2.71175 2.71175 +-2.71175 -2.71175 2.71175 +end unit_cell_cart + +begin atoms_frac +Fe 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 2 2 2 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.50000000 + 0.00000000 0.50000000 0.00000000 + 0.00000000 0.50000000 0.50000000 + 0.50000000 0.00000000 0.00000000 + 0.50000000 0.00000000 0.50000000 + 0.50000000 0.50000000 0.00000000 + 0.50000000 0.50000000 0.50000000 +end kpoints diff --git a/test-suite/tests/testpostw90_fe_kubo_jdos/Makefile b/test-suite/tests/testpostw90_fe_kubo_jdos/Makefile new file mode 100644 index 000000000..e8d011a2f --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_jdos/Makefile @@ -0,0 +1,14 @@ +all: $(patsubst %.chk.fmt.bz2, %.chk, $(wildcard *.chk.fmt.bz2)) $(patsubst %.uHu.bz2, %.uHu, $(wildcard *.uHu.bz2)) + +%.chk: %.chk.fmt.bz2 + $(eval SEEDNAME:=$(patsubst %.chk.fmt.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).chk.fmt && ../../../w90chk2chk.x -f2u $(SEEDNAME) && rm $(SEEDNAME).chk.fmt + +%.uHu: %.uHu.bz2 + $(eval SEEDNAME:=$(patsubst %.uHu.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).uHu + + +.PHONY: all diff --git a/test-suite/tests/testpostw90_fe_kubo_jdos/benchmark.out.default.inp=Fe.win b/test-suite/tests/testpostw90_fe_kubo_jdos/benchmark.out.default.inp=Fe.win new file mode 100644 index 000000000..b3b37c3ef --- /dev/null +++ b/test-suite/tests/testpostw90_fe_kubo_jdos/benchmark.out.default.inp=Fe.win @@ -0,0 +1,15 @@ + 0.00000000E+00 0.71619828E+00 + 0.50000000E+00 0.13709101E+01 + 0.10000000E+01 0.23438860E+01 + 0.15000000E+01 0.33823822E+01 + 0.20000000E+01 0.57616441E+01 + 0.25000000E+01 0.66492345E+01 + 0.30000000E+01 0.71336146E+01 + 0.35000000E+01 0.52461763E+01 + 0.40000000E+01 0.53557787E+01 + 0.45000000E+01 0.43223019E+01 + 0.50000000E+01 0.39347996E+01 + 0.55000000E+01 0.38151827E+01 + 0.60000000E+01 0.34473355E+01 + 0.65000000E+01 0.32957608E+01 + 0.70000000E+01 0.31765739E+01 diff --git a/test-suite/tests/testpostw90_fe_morb/.gitignore b/test-suite/tests/testpostw90_fe_morb/.gitignore new file mode 100644 index 000000000..1d81eca2e --- /dev/null +++ b/test-suite/tests/testpostw90_fe_morb/.gitignore @@ -0,0 +1,4 @@ +*.wpout +*.chk +w90chk2chk.log +*.uHu diff --git a/test-suite/tests/testpostw90_fe_morb/Fe.amn b/test-suite/tests/testpostw90_fe_morb/Fe.amn new file mode 100644 index 000000000..426e0bb81 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_morb/Fe.amn @@ -0,0 +1,4034 @@ + Created on 27Mar2017 at 18:44: 4 + 28 8 18 + 1 1 1 0.000000000091 0.000000000056 + 2 1 1 -0.206964625100 -0.557377161463 + 3 1 1 0.002898152892 0.003818064422 + 4 1 1 -0.000000008093 -0.000000013943 + 5 1 1 -0.002888340366 0.004053917819 + 6 1 1 0.000000005012 0.000000008693 + 7 1 1 -0.000000004770 -0.000000003788 + 8 1 1 -0.000000009278 0.000000000187 + 9 1 1 0.010704951752 0.006524570990 + 10 1 1 -0.000000008724 -0.000000009509 + 11 1 1 -0.091326931879 0.230743090783 + 12 1 1 0.391762558928 0.176533487368 + 13 1 1 0.000008781259 0.000002830961 + 14 1 1 -0.000003292759 0.000006889827 + 15 1 1 -0.000000004078 -0.000000000744 + 16 1 1 0.000004453774 -0.000110636023 + 17 1 1 0.000000004399 0.000000003961 + 18 1 1 -0.000000003916 -0.000000007230 + 19 1 1 -0.000000000474 -0.000000009348 + 20 1 1 0.017669028365 0.016096290638 + 21 1 1 0.000000015193 -0.000000024100 + 22 1 1 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@@ -0,0 +1 @@ +../../checkpoints/fe_postw90/Fe.uHu.bz2 \ No newline at end of file diff --git a/test-suite/tests/testpostw90_fe_morb/Fe.win b/test-suite/tests/testpostw90_fe_morb/Fe.win new file mode 100644 index 000000000..c8789518b --- /dev/null +++ b/test-suite/tests/testpostw90_fe_morb/Fe.win @@ -0,0 +1,63 @@ +num_bands = 28 +num_wann = 18 + +dis_win_min = -8.0d0 +dis_win_max = 70.0d0 +dis_froz_min = -8.0d0 +dis_froz_max = 30.0d0 +dis_num_iter = 500 + +num_iter = 200 +dis_mix_ratio = 1.0 + +spinors = true +begin projections +Fe: sp3d2;dxy;dxz;dyz +end projections + +fermi_energy = 12.6279 + +uHu_formatted = .true. + +berry = true +berry_task = morb +berry_kmesh = 10 10 10 + +!kpath = true +!kpath_task = bands+morb +!kpath_num_points=500 +begin kpoint_path +G 0.0000 0.0000 0.0000 H 0.500 -0.5000 -0.5000 +H 0.500 -0.5000 -0.5000 P 0.7500 0.2500 -0.2500 +end kpoint_path + +#kslice = true +#kslice_task = morb+fermi_lines +#kslice_2dkmesh = 50 50 +#kslice_corner = 0.0 0.0 0.0 +#kslice_b1 = 0.5 -0.5 -0.5 +#kslice_b2 = 0.5 0.5 0.5 + +begin unit_cell_cart +bohr + 2.71175 2.71175 2.71175 +-2.71175 2.71175 2.71175 +-2.71175 -2.71175 2.71175 +end unit_cell_cart + +begin atoms_frac +Fe 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 2 2 2 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.50000000 + 0.00000000 0.50000000 0.00000000 + 0.00000000 0.50000000 0.50000000 + 0.50000000 0.00000000 0.00000000 + 0.50000000 0.00000000 0.50000000 + 0.50000000 0.50000000 0.00000000 + 0.50000000 0.50000000 0.50000000 +end kpoints diff --git a/test-suite/tests/testpostw90_fe_morb/Makefile b/test-suite/tests/testpostw90_fe_morb/Makefile new file mode 100644 index 000000000..e8d011a2f --- /dev/null +++ b/test-suite/tests/testpostw90_fe_morb/Makefile @@ -0,0 +1,14 @@ +all: $(patsubst %.chk.fmt.bz2, %.chk, $(wildcard *.chk.fmt.bz2)) $(patsubst %.uHu.bz2, %.uHu, $(wildcard *.uHu.bz2)) + +%.chk: %.chk.fmt.bz2 + $(eval SEEDNAME:=$(patsubst %.chk.fmt.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).chk.fmt && ../../../w90chk2chk.x -f2u $(SEEDNAME) && rm $(SEEDNAME).chk.fmt + +%.uHu: %.uHu.bz2 + $(eval SEEDNAME:=$(patsubst %.uHu.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).uHu + + +.PHONY: all diff --git a/test-suite/tests/testpostw90_fe_morb/benchmark.out.default.inp=Fe.win b/test-suite/tests/testpostw90_fe_morb/benchmark.out.default.inp=Fe.win new file mode 100644 index 000000000..3765f1fb2 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_morb/benchmark.out.default.inp=Fe.win @@ -0,0 +1,259 @@ + + +---------------------------------------------------+ + | | + | WANNIER90 | + | | + +---------------------------------------------------+ + | | + | Welcome to the Maximally-Localized | + | Generalized Wannier Functions code | + | http://www.wannier.org | + | | + | Wannier90 v2.x Authors: | + | Arash A. Mostofi (Imperial College London) | + | Giovanni Pizzi (EPFL) | + | Ivo Souza (Universidad del Pais Vasco) | + | Jonathan R. Yates (University of Oxford) | + | | + | Wannier90 Contributors: | + | Young-Su Lee (KIST, S. Korea) | + | Matthew Shelley (Imperial College London) | + | Nicolas Poilvert (Penn State University) | + | Raffaello Bianco (Paris 6 and CNRS) | + | Gabriele Sclauzero (ETH Zurich) | + | David Strubbe (MIT, USA) | + | Rei Sakuma (Lund University, Sweden) | + | Yusuke Nomura (U. Tokyo, Japan) | + | Takashi Koretsune (Riken, Japan) | + | Yoshiro Nohara (ASMS Co. Ltd., Japan) | + | Ryotaro Arita (Riken, Japan) | + | Lorenzo Paulatto (UPMC Paris) | + | Florian Thole (ETH Zurich) | + | Pablo Garcia Fernandez (Unican, Spain) | + | Dominik Gresch (ETH Zurich) | + | Samuel Ponce (University of Oxford) | + | Marco Gibertini (EPFL) | + | Christian Stieger (ETHZ, CH) | + | Stepan Tsirkin (Universidad del Pais Vasco) | + | | + | Wannier77 Authors: | + | Nicola Marzari (EPFL) | + | Ivo Souza (Universidad del Pais Vasco) | + | David Vanderbilt (Rutgers University) | + | | + | Please cite | + | | + | [ref] "An updated version of Wannier90: | + | A Tool for Obtaining Maximally Localised | + | Wannier Functions", A. A. Mostofi, | + | J. R. Yates, G. Pizzi, Y. S. Lee, | + | I. Souza, D. Vanderbilt and N. Marzari, | + | Comput. Phys. Commun. 185, 2309 (2014) | + | http://dx.doi.org/10.1016/j.cpc.2014.05.003| + | | + | in any publications arising from the use of | + | this code. For the method please cite | + | | + | [ref] "Maximally Localized Generalised Wannier | + | Functions for Composite Energy Bands" | + | N. Marzari and D. Vanderbilt | + | Phys. Rev. B 56 12847 (1997) | + | | + | [ref] "Maximally Localized Wannier Functions | + | for Entangled Energy Bands" | + | I. Souza, N. Marzari and D. Vanderbilt | + | Phys. Rev. B 65 035109 (2001) | + | | + | | + | Copyright (c) 1996-2017 | + | Arash A. Mostofi, Jonathan R. Yates, | + | Young-Su Lee, Giovanni Pizzi, Ivo Souza, | + | David Vanderbilt and Nicola Marzari | + | | + | Release: 2.1.0 13th January 2017 | + | | + | This program is free software; you can | + | redistribute it and/or modify it under the terms | + | of the GNU General Public License as published by | + | the Free Software Foundation; either version 2 of | + | the License, or (at your option) any later version| + | | + | This program is distributed in the hope that it | + | will be useful, but WITHOUT ANY WARRANTY; without | + | even the implied warranty of MERCHANTABILITY or | + | FITNESS FOR A PARTICULAR PURPOSE. See the GNU | + | General Public License for more details. | + | | + | You should have received a copy of the GNU General| + | Public License along with this program; if not, | + | write to the Free Software Foundation, Inc., | + | 675 Mass Ave, Cambridge, MA 02139, USA. | + | | + +---------------------------------------------------+ + | Execution started on 9Dec2017 at 22:32:52 | + +---------------------------------------------------+ + + ****************************************************************************** + * -> Using CODATA 2006 constant values * + * (http://physics.nist.gov/cuu/Constants/index.html) * + * -> Using Bohr value from CODATA * + ****************************************************************************** + + + Running in serial (with parallel executable) + + ------ + SYSTEM + ------ + + Lattice Vectors (Ang) + a_1 1.434996 1.434996 1.434996 + a_2 -1.434996 1.434996 1.434996 + a_3 -1.434996 -1.434996 1.434996 + + Unit Cell Volume: 11.81986 (Ang^3) + + Reciprocal-Space Vectors (Ang^-1) + b_1 2.189269 0.000000 2.189269 + b_2 -2.189269 2.189269 0.000000 + b_3 0.000000 -2.189269 2.189269 + + *----------------------------------------------------------------------------* + | Site Fractional Coordinate Cartesian Coordinate (Ang) | + +----------------------------------------------------------------------------+ + | Fe 1 0.00000 0.00000 0.00000 | 0.00000 0.00000 0.00000 | + *----------------------------------------------------------------------------* + + + *-------------------------------- POSTW90 -----------------------------------* + | Number of Wannier Functions : 18 | + | Number of electrons per state : 1 | + | Scissor shift applied to conduction bands : 0.000 | + | Number of valence bands : not defined | + | Fermi energy (eV) : 12.628 | + | Output verbosity (1=low, 5=high) : 1 | + | Timing Level (1=low, 5=high) : 1 | + | Optimisation (0=memory, 3=speed) : 3 | + | Length Unit : Ang | + *----------------------------------------------------------------------------* + *------------------------ Global Smearing Parameters ------------------------* + | Adaptive width smearing : T | + | Adaptive smearing factor : 1.414 | + | Maximum allowed smearing width (eV) : 1.000 | + | Smearing Function Gaussian | + | Global interpolation k-points defined : F | + *----------------------------------------------------------------------------* + *----------------------------------------------------------------------------* + *--------------------------------- BERRY ------------------------------------* + | Compute Berry Phase related properties : T | + | Compute Optical Conductivity and JDOS : F | + | Compute Anomalous Hall Conductivity : F | + | Compute Orbital Magnetisation : F | + | Lower frequency for optical conductivity : 0.000 | + | Upper frequency for optical conductivity : 18.039 | + | Step size for optical conductivity : 0.010 | + | Upper eigenvalue for optical conductivity : 30.667 | + | Using global smearing parameters | + | Grid size : 10 x 10 x 10 | + | Adaptive refinement : none | + *----------------------------------------------------------------------------* + Time to read parameters 0.003 (sec) + + *---------------------------------- K-MESH ----------------------------------* + +----------------------------------------------------------------------------+ + | Distance to Nearest-Neighbour Shells | + | ------------------------------------ | + | Shell Distance (Ang^-1) Multiplicity | + | ----- ----------------- ------------ | + | 1 1.548047 12 | + | 2 2.189269 6 | + | 3 2.681296 24 | + | 4 3.096094 12 | + | 5 3.461538 24 | + | 6 3.791925 8 | + | 7 4.095747 48 | + | 8 4.378538 6 | + | 9 4.644140 36 | + | 10 4.895354 24 | + | 11 5.134290 24 | + | 12 5.362592 24 | + +----------------------------------------------------------------------------+ + | The b-vectors are chosen automatically | + | The following shells are used: 1 | + +----------------------------------------------------------------------------+ + | Shell # Nearest-Neighbours | + | ----- -------------------- | + | 1 12 | + +----------------------------------------------------------------------------+ + | Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] | + +----------------------------------------------------------------------------+ + | b_k Vectors (Ang^-1) and Weights (Ang^2) | + | ---------------------------------------- | + | No. b_k(x) b_k(y) b_k(z) w_b | + | --- -------------------------------- -------- | + | 1 0.000000 -1.094634 1.094634 0.104321 | + | 2 -1.094634 1.094634 0.000000 0.104321 | + | 3 -1.094634 0.000000 1.094634 0.104321 | + | 4 1.094634 0.000000 1.094634 0.104321 | + | 5 0.000000 1.094634 1.094634 0.104321 | + | 6 0.000000 1.094634 -1.094634 0.104321 | + | 7 1.094634 1.094634 0.000000 0.104321 | + | 8 1.094634 -1.094634 0.000000 0.104321 | + | 9 1.094634 0.000000 -1.094634 0.104321 | + | 10 -1.094634 0.000000 -1.094634 0.104321 | + | 11 -1.094634 -1.094634 0.000000 0.104321 | + | 12 0.000000 -1.094634 -1.094634 0.104321 | + +----------------------------------------------------------------------------+ + | b_k Directions (Ang^-1) | + | ----------------------- | + | No. x y z | + | --- -------------------------------- | + | 1 0.000000 -1.094634 1.094634 | + | 2 -1.094634 1.094634 0.000000 | + | 3 -1.094634 0.000000 1.094634 | + | 4 1.094634 0.000000 1.094634 | + | 5 0.000000 1.094634 1.094634 | + | 6 1.094634 1.094634 0.000000 | + +----------------------------------------------------------------------------+ + + Time to get kmesh 0.014 (sec) + Reading restart information from file Fe.chk : + written on 9Dec2017 at 21:01:42 ... done + + + Time to read and process 0.003 (sec) + + Reading overlaps from Fe.mmn in get_AA_R : Created on 27Mar2017 at 18:44:12 + + Reading overlaps from Fe.mmn in get_BB_R : Created on 27Mar2017 at 18:44:12 + + Reading uHu overlaps from Fe.uHu in get_CC_R: Created + + + Properties calculated in module b e r r y + ------------------------------------------ + + * Orbital magnetization + + Interpolation grid: 10 10 10 + + + Fermi energy (ev) = 12.627900 + + + M_orb (bohr magn/cell) x y z + ====================== 0.0000 0.0000 0.0431 + + + Total Execution Time 2.529 (sec) + + *===========================================================================* + | TIMING INFORMATION | + *===========================================================================* + | Tag Ncalls Time (s)| + |---------------------------------------------------------------------------| + |kmesh: get : 1 0.014| + *---------------------------------------------------------------------------* + + + All done: postw90 exiting diff --git a/test-suite/tests/testpostw90_fe_morbandahc/.gitignore b/test-suite/tests/testpostw90_fe_morbandahc/.gitignore new file mode 100644 index 000000000..1d81eca2e --- /dev/null +++ b/test-suite/tests/testpostw90_fe_morbandahc/.gitignore @@ -0,0 +1,4 @@ +*.wpout +*.chk +w90chk2chk.log +*.uHu diff --git a/test-suite/tests/testpostw90_fe_morbandahc/Fe.amn b/test-suite/tests/testpostw90_fe_morbandahc/Fe.amn new file mode 100644 index 000000000..426e0bb81 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_morbandahc/Fe.amn @@ -0,0 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b/test-suite/tests/testpostw90_fe_morbandahc/Fe.uHu.bz2 @@ -0,0 +1 @@ +../../checkpoints/fe_postw90/Fe.uHu.bz2 \ No newline at end of file diff --git a/test-suite/tests/testpostw90_fe_morbandahc/Fe.win b/test-suite/tests/testpostw90_fe_morbandahc/Fe.win new file mode 100644 index 000000000..62a359587 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_morbandahc/Fe.win @@ -0,0 +1,63 @@ +num_bands = 28 +num_wann = 18 + +dis_win_min = -8.0d0 +dis_win_max = 70.0d0 +dis_froz_min = -8.0d0 +dis_froz_max = 30.0d0 +dis_num_iter = 500 + +num_iter = 200 +dis_mix_ratio = 1.0 + +spinors = true +begin projections +Fe: sp3d2;dxy;dxz;dyz +end projections + +fermi_energy = 12.6279 + +uHu_formatted = .true. + +berry = true +berry_task = ahc+morb +berry_kmesh = 10 10 10 + +!kpath = true +!kpath_task = bands+morb +!kpath_num_points=500 +begin kpoint_path +G 0.0000 0.0000 0.0000 H 0.500 -0.5000 -0.5000 +H 0.500 -0.5000 -0.5000 P 0.7500 0.2500 -0.2500 +end kpoint_path + +#kslice = true +#kslice_task = morb+fermi_lines +#kslice_2dkmesh = 50 50 +#kslice_corner = 0.0 0.0 0.0 +#kslice_b1 = 0.5 -0.5 -0.5 +#kslice_b2 = 0.5 0.5 0.5 + +begin unit_cell_cart +bohr + 2.71175 2.71175 2.71175 +-2.71175 2.71175 2.71175 +-2.71175 -2.71175 2.71175 +end unit_cell_cart + +begin atoms_frac +Fe 0.000 0.000 0.000 +end atoms_frac + +mp_grid = 2 2 2 + +begin kpoints + 0.00000000 0.00000000 0.00000000 + 0.00000000 0.00000000 0.50000000 + 0.00000000 0.50000000 0.00000000 + 0.00000000 0.50000000 0.50000000 + 0.50000000 0.00000000 0.00000000 + 0.50000000 0.00000000 0.50000000 + 0.50000000 0.50000000 0.00000000 + 0.50000000 0.50000000 0.50000000 +end kpoints diff --git a/test-suite/tests/testpostw90_fe_morbandahc/Makefile b/test-suite/tests/testpostw90_fe_morbandahc/Makefile new file mode 100644 index 000000000..e8d011a2f --- /dev/null +++ b/test-suite/tests/testpostw90_fe_morbandahc/Makefile @@ -0,0 +1,14 @@ +all: $(patsubst %.chk.fmt.bz2, %.chk, $(wildcard *.chk.fmt.bz2)) $(patsubst %.uHu.bz2, %.uHu, $(wildcard *.uHu.bz2)) + +%.chk: %.chk.fmt.bz2 + $(eval SEEDNAME:=$(patsubst %.chk.fmt.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).chk.fmt && ../../../w90chk2chk.x -f2u $(SEEDNAME) && rm $(SEEDNAME).chk.fmt + +%.uHu: %.uHu.bz2 + $(eval SEEDNAME:=$(patsubst %.uHu.bz2, %, $<)) + echo $(SEEDNAME) + cat $< | bunzip2 - > $(SEEDNAME).uHu + + +.PHONY: all diff --git a/test-suite/tests/testpostw90_fe_morbandahc/benchmark.out.default.inp=Fe.win b/test-suite/tests/testpostw90_fe_morbandahc/benchmark.out.default.inp=Fe.win new file mode 100644 index 000000000..290fa9ca8 --- /dev/null +++ b/test-suite/tests/testpostw90_fe_morbandahc/benchmark.out.default.inp=Fe.win @@ -0,0 +1,267 @@ + + +---------------------------------------------------+ + | | + | WANNIER90 | + | | + +---------------------------------------------------+ + | | + | Welcome to the Maximally-Localized | + | Generalized Wannier Functions code | + | http://www.wannier.org | + | | + | Wannier90 v2.x Authors: | + | Arash A. Mostofi (Imperial College London) | + | Giovanni Pizzi (EPFL) | + | Ivo Souza (Universidad del Pais Vasco) | + | Jonathan R. Yates (University of Oxford) | + | | + | Wannier90 Contributors: | + | Young-Su Lee (KIST, S. Korea) | + | Matthew Shelley (Imperial College London) | + | Nicolas Poilvert (Penn State University) | + | Raffaello Bianco (Paris 6 and CNRS) | + | Gabriele Sclauzero (ETH Zurich) | + | David Strubbe (MIT, USA) | + | Rei Sakuma (Lund University, Sweden) | + | Yusuke Nomura (U. Tokyo, Japan) | + | Takashi Koretsune (Riken, Japan) | + | Yoshiro Nohara (ASMS Co. Ltd., Japan) | + | Ryotaro Arita (Riken, Japan) | + | Lorenzo Paulatto (UPMC Paris) | + | Florian Thole (ETH Zurich) | + | Pablo Garcia Fernandez (Unican, Spain) | + | Dominik Gresch (ETH Zurich) | + | Samuel Ponce (University of Oxford) | + | Marco Gibertini (EPFL) | + | Christian Stieger (ETHZ, CH) | + | Stepan Tsirkin (Universidad del Pais Vasco) | + | | + | Wannier77 Authors: | + | Nicola Marzari (EPFL) | + | Ivo Souza (Universidad del Pais Vasco) | + | David Vanderbilt (Rutgers University) | + | | + | Please cite | + | | + | [ref] "An updated version of Wannier90: | + | A Tool for Obtaining Maximally Localised | + | Wannier Functions", A. A. Mostofi, | + | J. R. Yates, G. Pizzi, Y. S. Lee, | + | I. Souza, D. Vanderbilt and N. Marzari, | + | Comput. Phys. Commun. 185, 2309 (2014) | + | http://dx.doi.org/10.1016/j.cpc.2014.05.003| + | | + | in any publications arising from the use of | + | this code. For the method please cite | + | | + | [ref] "Maximally Localized Generalised Wannier | + | Functions for Composite Energy Bands" | + | N. Marzari and D. Vanderbilt | + | Phys. Rev. B 56 12847 (1997) | + | | + | [ref] "Maximally Localized Wannier Functions | + | for Entangled Energy Bands" | + | I. Souza, N. Marzari and D. Vanderbilt | + | Phys. Rev. B 65 035109 (2001) | + | | + | | + | Copyright (c) 1996-2017 | + | Arash A. Mostofi, Jonathan R. Yates, | + | Young-Su Lee, Giovanni Pizzi, Ivo Souza, | + | David Vanderbilt and Nicola Marzari | + | | + | Release: 2.1.0 13th January 2017 | + | | + | This program is free software; you can | + | redistribute it and/or modify it under the terms | + | of the GNU General Public License as published by | + | the Free Software Foundation; either version 2 of | + | the License, or (at your option) any later version| + | | + | This program is distributed in the hope that it | + | will be useful, but WITHOUT ANY WARRANTY; without | + | even the implied warranty of MERCHANTABILITY or | + | FITNESS FOR A PARTICULAR PURPOSE. See the GNU | + | General Public License for more details. | + | | + | You should have received a copy of the GNU General| + | Public License along with this program; if not, | + | write to the Free Software Foundation, Inc., | + | 675 Mass Ave, Cambridge, MA 02139, USA. | + | | + +---------------------------------------------------+ + | Execution started on 9Dec2017 at 22:32:03 | + +---------------------------------------------------+ + + ****************************************************************************** + * -> Using CODATA 2006 constant values * + * (http://physics.nist.gov/cuu/Constants/index.html) * + * -> Using Bohr value from CODATA * + ****************************************************************************** + + + Running in serial (with parallel executable) + + ------ + SYSTEM + ------ + + Lattice Vectors (Ang) + a_1 1.434996 1.434996 1.434996 + a_2 -1.434996 1.434996 1.434996 + a_3 -1.434996 -1.434996 1.434996 + + Unit Cell Volume: 11.81986 (Ang^3) + + Reciprocal-Space Vectors (Ang^-1) + b_1 2.189269 0.000000 2.189269 + b_2 -2.189269 2.189269 0.000000 + b_3 0.000000 -2.189269 2.189269 + + *----------------------------------------------------------------------------* + | Site Fractional Coordinate Cartesian Coordinate (Ang) | + +----------------------------------------------------------------------------+ + | Fe 1 0.00000 0.00000 0.00000 | 0.00000 0.00000 0.00000 | + *----------------------------------------------------------------------------* + + + *-------------------------------- POSTW90 -----------------------------------* + | Number of Wannier Functions : 18 | + | Number of electrons per state : 1 | + | Scissor shift applied to conduction bands : 0.000 | + | Number of valence bands : not defined | + | Fermi energy (eV) : 12.628 | + | Output verbosity (1=low, 5=high) : 1 | + | Timing Level (1=low, 5=high) : 1 | + | Optimisation (0=memory, 3=speed) : 3 | + | Length Unit : Ang | + *----------------------------------------------------------------------------* + *------------------------ Global Smearing Parameters ------------------------* + | Adaptive width smearing : T | + | Adaptive smearing factor : 1.414 | + | Maximum allowed smearing width (eV) : 1.000 | + | Smearing Function Gaussian | + | Global interpolation k-points defined : F | + *----------------------------------------------------------------------------* + *----------------------------------------------------------------------------* + *--------------------------------- BERRY ------------------------------------* + | Compute Berry Phase related properties : T | + | Compute Optical Conductivity and JDOS : F | + | Compute Anomalous Hall Conductivity : T | + | Compute Orbital Magnetisation : F | + | Lower frequency for optical conductivity : 0.000 | + | Upper frequency for optical conductivity : 18.039 | + | Step size for optical conductivity : 0.010 | + | Upper eigenvalue for optical conductivity : 30.667 | + | Using global smearing parameters | + | Grid size : 10 x 10 x 10 | + | Adaptive refinement : none | + *----------------------------------------------------------------------------* + Time to read parameters 0.002 (sec) + + *---------------------------------- K-MESH ----------------------------------* + +----------------------------------------------------------------------------+ + | Distance to Nearest-Neighbour Shells | + | ------------------------------------ | + | Shell Distance (Ang^-1) Multiplicity | + | ----- ----------------- ------------ | + | 1 1.548047 12 | + | 2 2.189269 6 | + | 3 2.681296 24 | + | 4 3.096094 12 | + | 5 3.461538 24 | + | 6 3.791925 8 | + | 7 4.095747 48 | + | 8 4.378538 6 | + | 9 4.644140 36 | + | 10 4.895354 24 | + | 11 5.134290 24 | + | 12 5.362592 24 | + +----------------------------------------------------------------------------+ + | The b-vectors are chosen automatically | + | The following shells are used: 1 | + +----------------------------------------------------------------------------+ + | Shell # Nearest-Neighbours | + | ----- -------------------- | + | 1 12 | + +----------------------------------------------------------------------------+ + | Completeness relation is fully satisfied [Eq. (B1), PRB 56, 12847 (1997)] | + +----------------------------------------------------------------------------+ + | b_k Vectors (Ang^-1) and Weights (Ang^2) | + | ---------------------------------------- | + | No. b_k(x) b_k(y) b_k(z) w_b | + | --- -------------------------------- -------- | + | 1 0.000000 -1.094634 1.094634 0.104321 | + | 2 -1.094634 1.094634 0.000000 0.104321 | + | 3 -1.094634 0.000000 1.094634 0.104321 | + | 4 1.094634 0.000000 1.094634 0.104321 | + | 5 0.000000 1.094634 1.094634 0.104321 | + | 6 0.000000 1.094634 -1.094634 0.104321 | + | 7 1.094634 1.094634 0.000000 0.104321 | + | 8 1.094634 -1.094634 0.000000 0.104321 | + | 9 1.094634 0.000000 -1.094634 0.104321 | + | 10 -1.094634 0.000000 -1.094634 0.104321 | + | 11 -1.094634 -1.094634 0.000000 0.104321 | + | 12 0.000000 -1.094634 -1.094634 0.104321 | + +----------------------------------------------------------------------------+ + | b_k Directions (Ang^-1) | + | ----------------------- | + | No. x y z | + | --- -------------------------------- | + | 1 0.000000 -1.094634 1.094634 | + | 2 -1.094634 1.094634 0.000000 | + | 3 -1.094634 0.000000 1.094634 | + | 4 1.094634 0.000000 1.094634 | + | 5 0.000000 1.094634 1.094634 | + | 6 1.094634 1.094634 0.000000 | + +----------------------------------------------------------------------------+ + + Time to get kmesh 0.017 (sec) + Reading restart information from file Fe.chk : + written on 9Dec2017 at 21:01:42 ... done + + + Time to read and process 0.003 (sec) + + Reading overlaps from Fe.mmn in get_AA_R : Created on 27Mar2017 at 18:44:12 + + Reading overlaps from Fe.mmn in get_BB_R : Created on 27Mar2017 at 18:44:12 + + Reading uHu overlaps from Fe.uHu in get_CC_R: Created + + + Properties calculated in module b e r r y + ------------------------------------------ + + * Anomalous Hall conductivity + + * Orbital magnetization + + Interpolation grid: 10 10 10 + + Fermi energy (ev): 12.6279 + + AHC (S/cm) x y z + ========== 0.0334 0.0572 1222.1510 + + + + Fermi energy (ev) = 12.627900 + + + M_orb (bohr magn/cell) x y z + ====================== 0.0000 0.0000 0.0431 + + + Total Execution Time 3.099 (sec) + + *===========================================================================* + | TIMING INFORMATION | + *===========================================================================* + | Tag Ncalls Time (s)| + |---------------------------------------------------------------------------| + |kmesh: get : 1 0.017| + *---------------------------------------------------------------------------* + + + All done: postw90 exiting diff --git a/test-suite/tests/userconfig b/test-suite/tests/userconfig index d2073d27e..eb8285b91 100644 --- a/test-suite/tests/userconfig +++ b/test-suite/tests/userconfig @@ -33,6 +33,45 @@ tolerance = ( (1.0e-3, 5.0e-3, 'bandenergy'), (1.0e-2, 1.0e-2, 'bandderivz'), (1.0e-6, 1.0e-6, 'bandidx')) +[POSTW90_MORBDAT_OK] +exe = ../../postw90.x +extract_fn = tools parsers.parse_morb_dat.parse +tolerance = ( (1.0e-6, 5.0e-6, 'bandpath'), + (1.0e-4, 1.0e-4, 'bandmorbx'), + (1.0e-4, 1.0e-4, 'bandmorby'), + (1.0e-4, 1.0e-4, 'bandmorbz')) + +[POSTW90_CURVDAT_OK] +exe = ../../postw90.x +extract_fn = tools parsers.parse_curv_dat.parse +tolerance = ( (1.0e-6, 5.0e-6, 'bandpath'), + (1.0e-4, 1.0e+2, 'bandcurvx'), + (1.0e-4, 1.0e+2, 'bandcurvy'), + (1.0e-4, 1.0e+2, 'bandcurvz')) + +[POSTW90_WPOUT_OK] +exe = ../../postw90.x +extract_fn = tools parsers.parse_wpout.parse +tolerance = ( (1.0e-3, 2.0e-3, 'ahc_x'), + (1.0e-3, 2.0e-3, 'ahc_y'), + (1.0e-3, 2.0e-3, 'ahc_z'), + (1.0e-3, 2.0e-3, 'morb_x'), + (1.0e-3, 2.0e-3, 'morb_y'), + (1.0e-3, 2.0e-3, 'morb_z')) + +[POSTW90_JDOS_OK] +exe = ../../postw90.x +extract_fn = tools parsers.parse_jdos_dat.parse +tolerance = ( (1.0e-6, 5.0e-6, 'energy'), + (1.0e-4, 1.0e-4, 'jdos')) + +[POSTW90_KUBO_OK] +exe = ../../postw90.x +extract_fn = tools parsers.parse_kubo_dat.parse +tolerance = ( (1.0e-6, 5.0e-6, 'energy'), + (1.0e-4, 1.0e+2, 'recond'), + (1.0e-4, 1.0e+2, 'imcond')) + [WANNIER90_WERR_FAIL] exe = ../../wannier90.x extract_fn = tools parsers.parse_werr.parse diff --git a/test-suite/tools/parsers/parse_curv_dat.py b/test-suite/tools/parsers/parse_curv_dat.py new file mode 100644 index 000000000..7d509c576 --- /dev/null +++ b/test-suite/tools/parsers/parse_curv_dat.py @@ -0,0 +1,54 @@ +""" +Parser function parse() to parse the _curv.dat output file of postw90.x. +""" +import inspect +import re +from collections import defaultdict + +from . import show_output + +def parse(fname): + """ + Open the file, parses it and return the values. + """ + retdict = defaultdict(list) + + if show_output: + print "[{}.{}] Parsing file '{}'".format( + __name__, inspect.currentframe().f_code.co_name, fname) + + with open(fname) as f: + lines = f.readlines() + + for lno, l in enumerate(lines): + + if l.strip().startswith('#'): + # Skip headers + continue + + pieces = l.split() + + if len(pieces) == 0 : + # skip blank line + continue + + if len(pieces) == 4 : + retdict['bandpath'].append(float(pieces[0])) + retdict['bandcurvx'].append(float(pieces[1])) + retdict['bandcurvy'].append(float(pieces[2])) + retdict['bandcurvz'].append(float(pieces[3])) + elif len(pieces) == 3 : # No path + retdict['bandcurvx'].append(float(pieces[0])) + retdict['bandcurvy'].append(float(pieces[1])) + retdict['bandcurvz'].append(float(pieces[2])) + else: + raise ValueError("Wrong line length ({}, instead of 3 or 4); line content: {}".format( + len(pieces)), l) + + + retdict = dict(retdict) + if show_output: + for k in sorted(retdict): + print " {}: {}".format(k, retdict[k]) + print "-"*72 + return retdict diff --git a/test-suite/tools/parsers/parse_jdos_dat.py b/test-suite/tools/parsers/parse_jdos_dat.py new file mode 100644 index 000000000..51001627d --- /dev/null +++ b/test-suite/tools/parsers/parse_jdos_dat.py @@ -0,0 +1,48 @@ +""" +Parser function parse() to parse the _jdos.dat output file of postw90.x. +""" +import inspect +import re +from collections import defaultdict + +from . import show_output + +def parse(fname): + """ + Open the file, parses it and return the values. + """ + retdict = defaultdict(list) + + if show_output: + print "[{}.{}] Parsing file '{}'".format( + __name__, inspect.currentframe().f_code.co_name, fname) + + with open(fname) as f: + lines = f.readlines() + + for lno, l in enumerate(lines): + + if l.strip().startswith('#'): + # Skip headers + continue + + pieces = l.split() + + if len(pieces) == 0 : + # skip blank line + continue + + if len(pieces) == 2 : + retdict['energy'].append(float(pieces[0])) + retdict['jdos'].append(float(pieces[1])) + else: + raise ValueError("Wrong line length ({}, instead of 2); line content: {}".format( + len(pieces)), l) + + + retdict = dict(retdict) + if show_output: + for k in sorted(retdict): + print " {}: {}".format(k, retdict[k]) + print "-"*72 + return retdict diff --git a/test-suite/tools/parsers/parse_kubo_dat.py b/test-suite/tools/parsers/parse_kubo_dat.py new file mode 100644 index 000000000..ecadaa158 --- /dev/null +++ b/test-suite/tools/parsers/parse_kubo_dat.py @@ -0,0 +1,50 @@ +""" +Parser function parse() to parse the _kubo*.dat output file of postw90.x. + +""" +import inspect +import re +from collections import defaultdict + +from . import show_output + +def parse(fname): + """ + Open the file, parses it and return the values. + """ + retdict = defaultdict(list) + + if show_output: + print "[{}.{}] Parsing file '{}'".format( + __name__, inspect.currentframe().f_code.co_name, fname) + + with open(fname) as f: + lines = f.readlines() + + for lno, l in enumerate(lines): + + if l.strip().startswith('#'): + # Skip headers + continue + + pieces = l.split() + + if len(pieces) == 0 : + # skip blank line + continue + + if len(pieces) == 3 : + retdict['energy'].append(float(pieces[0])) + retdict['recond'].append(float(pieces[1])) + retdict['imcond'].append(float(pieces[2])) + else: + raise ValueError("Wrong line length ({}, instead of 3); line content: {}".format( + len(pieces)), l) + + + retdict = dict(retdict) + if show_output: + for k in sorted(retdict): + print " {}: {}".format(k, retdict[k]) + print "-"*72 + return retdict diff --git a/test-suite/tools/parsers/parse_morb_dat.py b/test-suite/tools/parsers/parse_morb_dat.py new file mode 100644 index 000000000..aae9aa798 --- /dev/null +++ b/test-suite/tools/parsers/parse_morb_dat.py @@ -0,0 +1,51 @@ +""" +Parser function parse() to parse the _morb.dat output file of postw90.x. +""" +import inspect +import re +from collections import defaultdict + +from . import show_output + +def parse(fname): + """ + Open the file, parses it and return the values. + """ + retdict = defaultdict(list) + + if show_output: + print "[{}.{}] Parsing file '{}'".format( + __name__, inspect.currentframe().f_code.co_name, fname) + + with open(fname) as f: + lines = f.readlines() + + for lno, l in enumerate(lines): + + if l.strip().startswith('#'): + # Skip headers + continue + + pieces = l.split() + if len(pieces) == 4 : + retdict['bandpath'].append(float(pieces[0])) + retdict['bandmorbx'].append(float(pieces[1])) + retdict['bandmorby'].append(float(pieces[2])) + retdict['bandmorbz'].append(float(pieces[3])) + elif len(pieces) == 3 : # No path + retdict['bandmorbx'].append(float(pieces[0])) + retdict['bandmorby'].append(float(pieces[1])) + retdict['bandmorbz'].append(float(pieces[2])) + elif len(pieces) == 0 : #blank line + continue # skip + else: + raise ValueError("Wrong line length ({}, instead of 3 or 4); line content: {}".format( + len(pieces)), l) + + + retdict = dict(retdict) + if show_output: + for k in sorted(retdict): + print " {}: {}".format(k, retdict[k]) + print "-"*72 + return retdict diff --git a/test-suite/tools/parsers/parse_wpout.py b/test-suite/tools/parsers/parse_wpout.py new file mode 100644 index 000000000..ce9b67175 --- /dev/null +++ b/test-suite/tools/parsers/parse_wpout.py @@ -0,0 +1,176 @@ +""" +Parser function parse() to parse the .wpout output file of Wannier90. +""" +import inspect +import re +from collections import defaultdict + +from . import show_output + +# Match the lines describing the nearest-neighbour Shells +# Groups: +# 0: Shell Index +# 1: distance (ang^-1) +# 2: multiplicity +near_neigh_re = re.compile("^\s*\|\s+(\d+)\s+([\d\.]+)\s*(\d+)\s*") + + +# Match the lines describing the b_k vectors for the completeness relation +# Groups: +# 0: Index +# 1: b_k(x) +# 2: b_k(y) +# 3: b_k(z) +# 4: w_b +completeness_re = re.compile("^\s*\|\s+(\d+)\s+([\d\.-]+)\s+([\d\.-]+)\s+([\d\.-]+)\s*([\d\.]+)\s*") + +# Match the 'WF centre and spread' line. +# Groups: +# 0: idx +# 1: centre_x +# 2: centre_y +# 3: centre_z +# 4: spread +spread_re = re.compile("^\s*WF centre and spread\s+(\d+)\s+\(\s*([0-9\.-]+)\s*,\s*([0-9\.-]+)\s*,\s*([0-9\.-]+)\s*\)\s*([0-9\.-]+)\s*$") + +# Match the AHC +# Groups: +# 0: ahc_x +# 1: ahc_y +# 2: ahc_z +ahc_re = re.compile("^\s*==========\s+([-+]?[0-9]*\.?[0-9]+)\s+([-+]?[0-9]*\.?[0-9]+)\s+([-+]?[0-9]*\.?[0-9]+)\s*") + + +# Match the orbital magnetisation +# Groups: +# 0: morb_x +# 1: morb_y +# 2: morb_z +morb_re = re.compile("^\s*======================\s+([-+]?[0-9]*\.?[0-9]+)\s+([-+]?[0-9]*\.?[0-9]+)\s+([-+]?[0-9]*\.?[0-9]+)\s*") + + +# Match the lines with the Omegas +# Groups: +# 0: Omega_* +omegaI_re = re.compile("Omega\ I\s+=\s*([0-9\.-]+)\s*$") +omegaD_re = re.compile("Omega\ D\s+=\s*([0-9\.-]+)\s*$") +omegaOD_re = re.compile("Omega\ OD\s+=\s*([0-9\.-]+)\s*$") +omegaTotal_re = re.compile("Omega\ Total\s+=\s*([0-9\.-]+)\s*$") + +## A comment on regexps: re.match only checks the beginning of the line, while +## re.search anywhere in the string (like perl) + +def parse(fname): + """ + Open the file, parses it and return the values + """ + retdict = defaultdict(list) + + if show_output: + print "[{}.{}] Parsing file '{}'".format( + __name__, inspect.currentframe().f_code.co_name, fname) + + with open(fname) as f: + lines = f.readlines() + + for lno, l in enumerate(lines): + + + if "AHC" in l: + for l2 in lines[lno+1:]: + match = ahc_re.search(l2) + if not match: + break + x, y, z = match.groups() + retdict["ahc_x"].append(float(x)) + retdict["ahc_y"].append(float(y)) + retdict["ahc_z"].append(float(z)) + continue + + + if "M_orb" in l: + for l2 in lines[lno+1:]: + match = morb_re.search(l2) + if not match: + break + x, y, z = match.groups() + retdict["morb_x"].append(float(x)) + retdict["morb_y"].append(float(y)) + retdict["morb_z"].append(float(z)) + continue + + + + ############################################################### + # Nearest-neighbour Shells + # Start from the fourth line after + # 'Distance to Nearest-Neighbour Shells', + # then stop at the line with ------------------ + if "Distance to Nearest-Neighbour Shells" in l: + for l2 in lines[lno+4:]: # Skip 4 lines + match = near_neigh_re.search(l2) + if not match or '--------------------------------------' in l2: + break + _, dist, mult = match.groups() + retdict["near_neigh_dist"].append(float(dist)) + retdict["near_neigh_mult"].append(int(mult)) + continue + + ############################################################### + # Completeness relation + # Start from the sixth line after + # 'Completeness relation is fully satisfied', + # then stop at the line with ------------------ + if "Completeness relation is fully satisfied" in l: + for l2 in lines[lno+6:]: # Skip 6 lines + match = completeness_re.search(l2) + if not match or '--------------------------------------' in l2: + break + _, bkx, bky, bkz, bkw = match.groups() + retdict["completeness_x"].append(float(bkx)) + retdict["completeness_y"].append(float(bky)) + retdict["completeness_z"].append(float(bkz)) + retdict["completeness_weight"].append(float(bkw)) + continue + + ############################################################### + # Final state spreads and centres: get all lines after + # 'Final state' that contain the spreads + if "Final State" in l: + for l2 in lines[lno+1:]: + match = spread_re.search(l2) + if not match: + break + _, x, y, z, s = match.groups() + retdict["final_centres_x"].append(float(x)) + retdict["final_centres_y"].append(float(y)) + retdict["final_centres_z"].append(float(z)) + retdict["final_spreads"].append(float(s)) + continue + ############################################################### + # various Omegas (four numbers, typically at the end) + match = omegaI_re.search(l) + if match: + retdict["omegaI"].append(float(match.groups()[0])) + continue + match = omegaD_re.search(l) + if match: + retdict["omegaD"].append(float(match.groups()[0])) + continue + match = omegaOD_re.search(l) + if match: + retdict["omegaOD"].append(float(match.groups()[0])) + continue + match = omegaTotal_re.search(l) + if match: + retdict["omegaTotal"].append(float(match.groups()[0])) + continue + ############################################################### + + + retdict = dict(retdict) + if show_output: + for k in sorted(retdict): + print " {}: {}".format(k, retdict[k]) + print "-"*72 + return retdict