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

Roberto Raimondi·Peter Schwab
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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 $σ^R_{sH} = e/8 π$ for the reactive response, which cancels however with the dissipative part $σ^D_{sH} = -e/8 π$.

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Roberto Raimondi, Peter Schwab. 2004-08-11. Spin-Hall effect in a disordered 2D electron-system. https://doi.org/10.1103/physrevb.71.033311

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