Optical spatial dispersion via Wannier interpolation

Fuente: arXiv
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Main Authors: Urru, Andrea, Souza, Ivo, Ocaña, Óscar Pozo, Tsirkin, Stepan S., Vanderbilt, David
Format: Preprint
Published: 2025
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author Urru, Andrea
Souza, Ivo
Ocaña, Óscar Pozo
Tsirkin, Stepan S.
Vanderbilt, David
author_facet Urru, Andrea
Souza, Ivo
Ocaña, Óscar Pozo
Tsirkin, Stepan S.
Vanderbilt, David
contents We present a numerical implementation, based on Wannier interpolation, of a Kubo-Greenwood formalism for computing the spatially dispersive optical conductivity in crystals at first order in the wave vector of light. This approach is more efficient than direct $\textit{ab initio}$ methods because, with less computational cost, it allows for a much finer sampling of reciprocal space, resulting in better resolved spectra. Moreover, Wannier interpolation avoids errors arising from truncation of the sums over conduction bands when evaluating the spatially dispersive optical matrix elements. We validate our method by computing the optical activity spectrum of selected crystals, both polar (GaN) and chiral (trigonal Te, trigonal Se, and $α$-quartz), and comparing with existing literature.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09742
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optical spatial dispersion via Wannier interpolation
Urru, Andrea
Souza, Ivo
Ocaña, Óscar Pozo
Tsirkin, Stepan S.
Vanderbilt, David
Materials Science
We present a numerical implementation, based on Wannier interpolation, of a Kubo-Greenwood formalism for computing the spatially dispersive optical conductivity in crystals at first order in the wave vector of light. This approach is more efficient than direct $\textit{ab initio}$ methods because, with less computational cost, it allows for a much finer sampling of reciprocal space, resulting in better resolved spectra. Moreover, Wannier interpolation avoids errors arising from truncation of the sums over conduction bands when evaluating the spatially dispersive optical matrix elements. We validate our method by computing the optical activity spectrum of selected crystals, both polar (GaN) and chiral (trigonal Te, trigonal Se, and $α$-quartz), and comparing with existing literature.
title Optical spatial dispersion via Wannier interpolation
topic Materials Science
url https://arxiv.org/abs/2504.09742