The contribution of spin torque to spin Hall coefficient and spin motive force in spin-orbit coupling system

Details The contribution of spin torque to spin Hall coefficient and spin motive force in spin-orbit coupling system The contribution of spin torque to spin Hall coefficient and spin motive force in spin-orbit coupling system

2011-12-02

arxiv.org/abs/1112.0394v1

Journal of Physics: Condensed Matter 19 (2007) 496220

Physics

Condensed Matter

Strongly Correlated Electrons

1 figure

Scientific paper

We derive rigorously the relativistic angular momentum conservation equation by means of quantum electrodynamics. The novel nonrelativistic spin current and torque in the spin-orbit coupling system, up to the order of $1/c^{4}$, are exactly investigated by using Foldy-Wouthuysen transformation. We find a perfect spin Hall coefficient including the contribution of spin torque dipole. A novel spin motive force, analogue to the Lorentz force, is also obtained for understanding of the spin Hall effect.

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