First-principles calculation of orbital Hall effect by Wannier interpolation: Role of orbital dependence of the anomalous position

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Autori principali: Go, Dongwook, Lee, Hyun-Woo, Oppeneer, Peter M., Blügel, Stefan, Mokrousov, Yuriy
Natura: Preprint
Pubblicazione: 2023
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author Go, Dongwook
Lee, Hyun-Woo
Oppeneer, Peter M.
Blügel, Stefan
Mokrousov, Yuriy
author_facet Go, Dongwook
Lee, Hyun-Woo
Oppeneer, Peter M.
Blügel, Stefan
Mokrousov, Yuriy
contents The position operator in a Bloch representation acquires a gauge correction in the momentum space on top of the canonical position, which is called the anomalous position. We show that the anomalous position is generally orbital-dependent and thus plays a crucial role in the description of the intrinsic orbital Hall effect in terms of Wannier basis. We demonstrate this from the first-principles calculation of orbital Hall conductivities of transition metals by Wannier interpolation. Our results show that consistent treatment of the velocity operator by adding the additional term originating from the anomalous position predicts the orbital Hall conductivities different from those obtained by considering only the group velocity. We find the difference is crucial in several metals. For example, we predict the negative sign of the orbital Hall conductivities for elements in the groups X and XI such as Cu, Ag, Au, and Pd, for which the previous studies predicted the positive sign. Our work suggests the importance of consistently describing the spatial dependence of basis functions by first-principles methods as it is fundamentally missing in the tight-binding approximation.
format Preprint
id arxiv_https___arxiv_org_abs_2309_13996
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle First-principles calculation of orbital Hall effect by Wannier interpolation: Role of orbital dependence of the anomalous position
Go, Dongwook
Lee, Hyun-Woo
Oppeneer, Peter M.
Blügel, Stefan
Mokrousov, Yuriy
Mesoscale and Nanoscale Physics
Materials Science
The position operator in a Bloch representation acquires a gauge correction in the momentum space on top of the canonical position, which is called the anomalous position. We show that the anomalous position is generally orbital-dependent and thus plays a crucial role in the description of the intrinsic orbital Hall effect in terms of Wannier basis. We demonstrate this from the first-principles calculation of orbital Hall conductivities of transition metals by Wannier interpolation. Our results show that consistent treatment of the velocity operator by adding the additional term originating from the anomalous position predicts the orbital Hall conductivities different from those obtained by considering only the group velocity. We find the difference is crucial in several metals. For example, we predict the negative sign of the orbital Hall conductivities for elements in the groups X and XI such as Cu, Ag, Au, and Pd, for which the previous studies predicted the positive sign. Our work suggests the importance of consistently describing the spatial dependence of basis functions by first-principles methods as it is fundamentally missing in the tight-binding approximation.
title First-principles calculation of orbital Hall effect by Wannier interpolation: Role of orbital dependence of the anomalous position
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2309.13996