Variational Matrix Product State library

This is a library for dealing with many-body Hamiltonians using algorithms based on variational matrix-product states (VMPS or MPS).

Features

• ground states for one-dimensional chains (open and periodic boundary conditions)
• ground states for general geometries: ladders, molecules, 2D and 3D clusters
• infinite systems using the VUMPS (Variational Uniform Matrix-Product State) formalism
• Heisenberg, Hubbard and Kondo type models
• U(1), SU(2) [spin and charge], Z(N) symmetries
• time propagation using an adaptive TDVP (time-dependent variational principle) algorithm
• spectral functions using the Chebyshev polynomial expansion or time propagation
• finite-temperature properties (static and dynamic)

Dependencies

• C++, Eigen, Boost, GSL

Documentation

Browse doxygen documentation to explore the interface and general documentation.

Contributers

Roman Rausch, Matthias Peschke, Cassian Plorin

Showcases from open-access publications

• Spin-spin correlations of the Heisenberg model on the C60 fullerene geometry https://scipost.org/SciPostPhys.10.4.087

• Incommensurate correlations in the FM-AFM sawtooth chain https://scipost.org/SciPostPhys.14.3.052

• Even-odd mass differences in Pb isotopes https://onlinelibrary.wiley.com/doi/full/10.1002/andp.202300436

• Four-electron bound state ("quadruplon") in the two-hole spectral function of the Hubbard model https://iopscience.iop.org/article/10.1088/1367-2630/18/2/023033/meta