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Title: Gauge Physics of Spin Hall Effect
Authors: Tan S.G. 
Jalil M.B.A. 
Ho C.S. 
Siu Z. 
Murakami S.
Issue Date: 2015
Citation: Tan S.G., Jalil M.B.A., Ho C.S., Siu Z., Murakami S. (2015). Gauge Physics of Spin Hall Effect. Scientific Reports 5 : 18409. ScholarBank@NUS Repository.
Abstract: Spin Hall effect (SHE) has been discussed in the context of Kubo formulation, geometric physics, spin orbit force, and numerous semi-classical treatments. It can be confusing if the different pictures have partial or overlapping claims of contribution to the SHE. In this article, we present a gauge-theoretic, time-momentum elucidation, which provides a general SHE equation of motion, that unifies under one theoretical framework, all contributions of SHE conductivity due to the kinetic, the spin orbit force (Yang-Mills), and the geometric (Murakami-Fujita) effects. Our work puts right an ambiguity surrounding previously partial treatments involving the Kubo, semiclassical, Berry curvatures, or the spin orbit force. Our full treatment shows the Rashba 2DEG SHE conductivity to be +e/8π instead of -e/8π, and Rashba heavy hole +9e/8π instead of -9e/8π. This renewed treatment suggests a need to re-derive and re-calculate previously studied SHE conductivity.
Source Title: Scientific Reports
ISSN: 2045-2322
DOI: 10.1038/srep18409
Appears in Collections:Staff Publications

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