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arXiv · 1010.5520

Spin Hall effect of alloys: Extrinsic and intrinsic contribution

Stephan Lowitzer·Martin Gradhand·Diemo Ködderitzsch·Dmitry V. Fedorov·Ingrid Mertig·Hubert Ebert
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Abstract

A fully relativistic description of the spin-orbit induced spin Hall effect is presented that is based on Kubo's linear response formalism. Using an appropriate operator for the spin current density a Kubo-St\v{r}eda-like equation for the spin Hall conductivity (SHC) is obtained. An implementation using the Korringa-Kohn-Rostoker (KKR) band structure method in combination with the Coherent Potential Approximation (CPA) allow detailed investigations on various alloy systems. A decomposition of the SHC into intrinsic and extrinsic contributions is suggested. Accompanying calculations for the skew-scattering contribution of the SHC using the Boltzmann equation demonstrate the equivalence to the Kubo formalism in the dilute alloy regime and support the suggested decomposition scheme.

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Stephan Lowitzer, Martin Gradhand, Diemo Ködderitzsch, Dmitry V. Fedorov, Ingrid Mertig, Hubert Ebert. 2010-10-26. Spin Hall effect of alloys: Extrinsic and intrinsic contribution. https://arxiv.org/abs/1010.5520

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