Spin-Hall effect in a disordered 2D electron-system

Abstract

We calculate the spin-Hall conductivity for a two-dimensional electron gas within the self-consistent Born approximation, varying the strength and type of disorder. In the weak disorder limit we find both analytically and numerically a vanishing spin-Hall conductivity even when we allow a momentum dependent scattering. Separating the reactive from the disspative current response, we find the universal value ${\sigma }_{sH}^R=e/8\pi$ for the reactive response, which cancels however with the dissipative part ${\sigma }_{sH}^D=-e/8\pi$.

4 pages

References in corpus (2)

• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Absence of vertex correction for the spin Hall effect in p-type semiconductors

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• Chiral spin resonance and spin-Hall conductivity in the presence of the electron-electron interactions
• Vanishing spin-Hall current in a diffusive Rashba two-dimensional electron system: A quantum Boltzmann equation approach
• `Spin-Spin' Hall Effect in Two-Dimensional Electron Systems with Spin-Orbit Interaction