Relation Between the Spin Hall Conductivity and the Spin Chern Number for Dirac-like Systems
Mathematical Physics
2016-06-14 v3 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
math.MP
Abstract
A semiclassical formulation of the spin Hall effect for physical systems satisfying Dirac-like equation is introduced. We demonstrated that the main contribution to the spin Hall conductivity is given by the spin Chern number whether the spin is conserved or not at the quantum level. We illustrated the formulation within the Kane-Mele model of graphene in the absence and in the presence of the Rashba spin-orbit coupling term.
Keywords
Cite
@article{arxiv.1408.1596,
title = {Relation Between the Spin Hall Conductivity and the Spin Chern Number for Dirac-like Systems},
author = {Ömer F. Dayi and Elif Yunt},
journal= {arXiv preprint arXiv:1408.1596},
year = {2016}
}
Comments
21 pages, minor corrections and ref added