2019
DOI: 10.1103/physrevb.99.235113
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Computation of intrinsic spin Hall conductivities from first principles using maximally localized Wannier functions

Abstract: 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… Show more

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Cited by 40 publications
(24 citation statements)
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“…Spin Hall angle.-Because of the correlation between the SHA and SDL observed in measurements [27], it is desirable to determine Θ sH using the same approximations as were used to calculate l sf . Most quantitative theoretical studies of the SHE [47][48][49][50] are based upon the Kubo formalism and have focused on the so-called intrinsic contribution that does not consider the role of the electron-phonon scattering mechanism that dominates the resistivity of elemental metals at room temperature where the vast majority of Θ sH determinations have been made [16]. In the linear response regime, the scattering theory we use is equivalent to the Kubo formalism [51] and therefore includes the intrinsic contribution as well as that from electron-phonon coupling.…”
mentioning
confidence: 99%
“…Spin Hall angle.-Because of the correlation between the SHA and SDL observed in measurements [27], it is desirable to determine Θ sH using the same approximations as were used to calculate l sf . Most quantitative theoretical studies of the SHE [47][48][49][50] are based upon the Kubo formalism and have focused on the so-called intrinsic contribution that does not consider the role of the electron-phonon scattering mechanism that dominates the resistivity of elemental metals at room temperature where the vast majority of Θ sH determinations have been made [16]. In the linear response regime, the scattering theory we use is equivalent to the Kubo formalism [51] and therefore includes the intrinsic contribution as well as that from electron-phonon coupling.…”
mentioning
confidence: 99%
“…The intrinsic SHC was calculated via the Kubo formula, as shown below, in the clean case. We expect the SHC in the clean-case limit is given by the intrinsic SHC value due to the vanishing vertex corrections under the symmetry of H(k) = H(−k) 17,[42][43][44] .…”
Section: Methodsmentioning
confidence: 99%
“…We calculate the intrinsic spin Hall conductivity 55 in order to investigate the implication of the spin texture change and saddle points on spin transport properties. The intrinsic spni Hall conductivity in the static limit can be derived from the Kubo formula [55][56][57][58][59][60][61][62][63] as follows:…”
Section: Intrinsic Spin Hall Conductivitymentioning
confidence: 99%