Spin-Hall conductivity due to Rashba spin-orbit interaction in disordered systems

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 $\sigma$ and evaluate it in an systematic way using standard diagrammatic techniques for disordered systems. We find that in the diffusive regime both Boltzmann and the weak localization contributions to $\sigma$ 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.

sec. VI is extended

References in corpus (8)

• Dissipationless Quantum Spin Current at Room Temperature
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Current induced electron spin polarization in strained semiconductors
• Spin-Hall effect in a disordered 2D electron-system
• Absence of vertex correction for the spin Hall effect in p-type semiconductors
• Dissipation effects in spin-Hall transport of electrons and holes
• Spin susceptibilities, spin densities and their connection to spin-currents
• Vanishing Spin-Hall Conductivity in 2D disordered Rashba electron gas

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