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Main Authors: Mankovsky, Sergiy, Ebert, Hubert
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2408.07814
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author Mankovsky, Sergiy
Ebert, Hubert
author_facet Mankovsky, Sergiy
Ebert, Hubert
contents Kubo's linear response formalism has been used to calculate the orbital Hall conductivity (OHC) for non-magnetic undoped and doped transition metal systems, focusing on the impact of different types of disorder and the role of vertex corrections for the OHC. The doping- and temperature-dependence of the OH conductivity have been investigated and compared with corresponding results for the spin Hall conductivity (SHC). A strong difference has been found between the results for undoped and doped metallic systems. For elemental systems at finite temperature a dominating role of the intrinsic contribution to the temperature-dependent OH and SH conductivities is found. Moreover, the different temperature dependent behavior of the intrinsic SOC-independent OHC and SOC-driven SCH indicates a non-trivial relationship between these quantities. It is shown, that in contrast to the intrinsic part of the OH and SH conductivities, the extrinsic contributions in doped systems are determined by spin-orbit coupling for both of them. It is dominating at low temperature, strongly decreasing at higher temperatures due to the increasing impact of the electron-phonon scattering.
format Preprint
id arxiv_https___arxiv_org_abs_2408_07814
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spin and orbital Hall effect in non-magnetic transition metals: extrinsic vs intrinsic contributions
Mankovsky, Sergiy
Ebert, Hubert
Materials Science
Kubo's linear response formalism has been used to calculate the orbital Hall conductivity (OHC) for non-magnetic undoped and doped transition metal systems, focusing on the impact of different types of disorder and the role of vertex corrections for the OHC. The doping- and temperature-dependence of the OH conductivity have been investigated and compared with corresponding results for the spin Hall conductivity (SHC). A strong difference has been found between the results for undoped and doped metallic systems. For elemental systems at finite temperature a dominating role of the intrinsic contribution to the temperature-dependent OH and SH conductivities is found. Moreover, the different temperature dependent behavior of the intrinsic SOC-independent OHC and SOC-driven SCH indicates a non-trivial relationship between these quantities. It is shown, that in contrast to the intrinsic part of the OH and SH conductivities, the extrinsic contributions in doped systems are determined by spin-orbit coupling for both of them. It is dominating at low temperature, strongly decreasing at higher temperatures due to the increasing impact of the electron-phonon scattering.
title Spin and orbital Hall effect in non-magnetic transition metals: extrinsic vs intrinsic contributions
topic Materials Science
url https://arxiv.org/abs/2408.07814