Computation of intrinsic spin Hall conductivities from first principles using maximally-localized Wannier functions

We present a method to compute the intrinsic spin Hall conductivity from first principles using an interpolation scheme based on maximally-localized Wannier functions. After obtaining the relevant matrix elements among the ab initio Bloch states calculated on a coarse k-point mesh, we Fourier transf...

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Bibliographic Details
Published in:arXiv.org 2019-06
Main Authors: Ryoo, Ji Hoon, Park, Cheol-Hwan, Souza, Ivo
Format: Article
Language:English
Subjects:
Arsenides
Conductivity
First principles
Fourier transforms
Gallium arsenide
Interpolation
Mathematical analysis
Platinum
Online Access:Get full text
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Summary:We present a method to compute the intrinsic spin Hall conductivity from first principles using an interpolation scheme based on maximally-localized Wannier functions. After obtaining the relevant matrix elements among the ab initio Bloch states calculated on a coarse k-point mesh, we Fourier transform them to find the corresponding matrix elements between Wannier states. We then perform an inverse Fourier transform to interpolate the velocity and spin-current matrix elements onto a dense k-point mesh, and use them to evaluate the spin Hall conductivity as a Brillouin-zone integral. This strategy has a much lower computational cost than a direct ab initio calculation, without sacrificing the accuracy. We demonstrate that the spin Hall conductivities of platinum and doped gallium arsenide, computed with our interpolation scheme as a function of the Fermi energy, are in good agreement with those obtained in previous first-principles studies. We also discuss certain approximations that can be made, in the spirit of the tight-binding method, to simplify the calculation of the velocity and spin-current matrix elements in the Wannier representation.
ISSN:2331-8422
DOI:10.48550/arxiv.1906.07139