Spin-Hall conductivity in a two-dimensional Rashba electron gas
Abstract
Spin-Hall conductivity and Pauli susceptibility of 2D electron gas with Rashba spin-orbital interaction is studied theoretically in the semiclassical limit kFl≫1 . Static spin-Hall conductivity is shown to be zero for any nonvanishing disorder strength in the general case of the momentum-dependent Rashba velocity α(p) and nonparabolic spectrum γ(p) . This result is derived both by an explicit diagrammatic calculation for the model of noninteracting electrons in a disorder potential, and via the analysis of general operator commutation relations, that are valid also for the case of interacting electrons. For the clean limit l→∞ and in the presence of electron-electron interactions, we derived the universal relation between frequency-dependent spin-Hall conductivity σsH(Ω) and Pauli susceptibility χ(Ω) . Electron-electron interaction is shown to modify the “universal” value σsH(0)=e/8πℏ by the corrections of the relative magnitude determined by the standard Coulomb parameter only.
- Publication:
-
Physical Review B
- Pub Date:
- June 2005
- DOI:
- 10.1103/PhysRevB.71.245327
- Bibcode:
- 2005PhRvB..71x5327D
- Keywords:
-
- 72.25.-b;
- 72.10.-d;
- 73.50.Jt;
- Spin polarized transport;
- Theory of electronic transport;
- scattering mechanisms;
- Galvanomagnetic and other magnetotransport effects