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2015 ; 5
(ä): 18409
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Gauge Physics of Spin Hall Effect
#MMPMID26689260
Tan SG
; Jalil MB
; Ho CS
; Siu Z
; Murakami S
Sci Rep
2015[Dec]; 5
(ä): 18409
PMID26689260
show ga
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 [formula in text] instead of [formula in text], and Rashba
heavy hole [formula in text] instead of [formula in text]. This renewed treatment
suggests a need to re-derive and re-calculate previously studied SHE
conductivity.