Year: 2005
Type: article
Abstract: We consider the spin-Hall current in a disordered two-dimensional electron gas in the presence of Rashba spin-orbit interaction. We derive a generalized Kubo-Greenwood formula for the spin-Hall conductivity ${\ensuremath{\sigma}}_{yx}^{z}$ and evaluate it in a systematic way using standard diagrammatic techniques for disordered systems. We find that in the diffusive regime both Boltzmann and the weak localization contributions to ${\ensuremath{\sigma}}_{yx}^{z}$ are of the same order and vanish in the zero-frequency limit. We show that the uniform spin current is given by the total time derivative of the magnetization, from which we can conclude that the spin current vanishes exactly in the stationary limit. This conclusion is valid for arbitrary spin-independent disorder, external electric field strength, and also for interacting electrons.
Source: Physical Review B
Authors: Oleg Chalaev, Daniel Loss
Institution: University of Basel
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2113512566