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

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