Spin Current in Spin-Orbit Coupling Systems
Mesoscale and Nanoscale Physics
2009-11-10 v2 Materials Science
Abstract
We present a simple and pedagogical derivation of the spin current as the linear response to an external electric field for both Rashba and Luttinger spin-orbital coupling Hamiltonians. Except for the adiabatic approximation, our derivation is exact to the linear order of the electric field for both models. The spin current is a direct result of the difference in occupation levels between different bands. Moreover, we show a general topological spin current can be defined for a broad class of spin-orbit coupling systems.
Cite
@article{arxiv.cond-mat/0310093,
title = {Spin Current in Spin-Orbit Coupling Systems},
author = {Jiangping Hu and Bogdan A. Bernevig and Congjun Wu},
journal= {arXiv preprint arXiv:cond-mat/0310093},
year = {2009}
}