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Add quartic single ion anisotropy #152

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mducle opened this issue Oct 25, 2023 · 0 comments
Open

Add quartic single ion anisotropy #152

mducle opened this issue Oct 25, 2023 · 0 comments
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enhancement New feature or request nicetohave Nice to have features which are low priority.

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@mducle
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mducle commented Oct 25, 2023

Currently SpinW supports a quadratic single-ion anisotropy term:

\sum_i\mathbf{S}_iA_i\mathbf{S}_i

This allows to define axial and planar anisotropy.

A quartic single-ion anisotropy term, like:

\sum_i\left(\mathbf{S}_iA_i\mathbf{S}_i\right)^2

analogous to the biquadratic interaction:

\sum_{ij}K_{ij}\left(\mathbf{S}_i\cdot\mathbf{S}_j\right)^2

would allow more complex anisotropy (such as fan or conical types) which could manifest in rare earth systems.

The implementation of the current (quadratic) anisotropy is to add the SIA term to the diagonal of the JJ interaction matrix. A similar approach might be possible for a quartic anisotropy (by adding to the bq biquadratic interaction matrix).

@mducle mducle added enhancement New feature or request nicetohave Nice to have features which are low priority. labels Oct 25, 2023
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Labels
enhancement New feature or request nicetohave Nice to have features which are low priority.
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