Inverse Spin Hall Effect by Spin Injection
S. Y. Liu, Norman J. M. Horing, and X. L. Lei

TL;DR
This paper develops a microscopic theory for the inverse spin Hall effect caused by spin injection into aluminum, highlighting the roles of intrinsic and extrinsic spin-orbit couplings, and aligns well with experimental observations.
Contribution
It provides a quantitative microscopic model considering both intrinsic and extrinsic spin-orbit effects, explaining experimental data on the inverse spin Hall effect.
Findings
Extrinsic skew scattering dominates anomalous Hall resistivity.
Intrinsic spin-orbit coupling influences spatial variation.
Theoretical results agree with experimental data.
Abstract
Motivated by a recent experiment[Nature {\bf 442}, 176 (2006)], we present a quantitative microscopic theory to investigate the inverse spin-Hall effect with spin injection into aluminum considering both intrinsic and extrinsic spin-orbit couplings using the orthogonalized-plane-wave method. Our theoretical results are in good agreement with the experimental data. It is also clear that the magnitude of the anomalous Hall resistivity is mainly due to contributions from extrinsic skew scattering, while its spatial variation is determined by the intrinsic spin-orbit coupling.
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