A translationally equivariant and higher-order finite-difference method for Wannier interpolation yields more accurate Wannier centers, position matrices, electric polarization, orbital magnetization, and spin Hall conductivity.
[34], which uses a sawtooth wave to calculate the Wannier centers, can be regarded as an infinite-order HOFD
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Accurate calculation of Wannier centers, position matrix, and composite operators using translationally equivariant and higher-order finite differences
A translationally equivariant and higher-order finite-difference method for Wannier interpolation yields more accurate Wannier centers, position matrices, electric polarization, orbital magnetization, and spin Hall conductivity.