Abstract
A semiclassical formulation of the spin Hall effect for physical systems satisfying Dirac-like equation is introduced. We demonstrate 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.
| Original language | English |
|---|---|
| Article number | 1550136 |
| Journal | International Journal of Geometric Methods in Modern Physics |
| Volume | 13 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2016 |
Bibliographical note
Publisher Copyright:© 2016 World Scientific Publishing Company.
Keywords
- semiclassical formulation
- spin Chern number
- Spin Hall effect