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Spin-Hall effect in a [110] quantum well

E. M. Hankiewicz·G. Vignale·M. Flatte
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Abstract

A self-consistent treatment of the spin-Hall effect requires consideration of the spin-orbit coupling and electron-impurity scattering on equal footing. This is done here for the experimentally relevant case of a [110] GaAs quantum well [Sih {\it et al.}, Nature Physics 1, 31 (2005)]. Working within the framework of the exact linear response formalism we calculate the spin-Hall conductivity including the Dresselhaus linear and cubic terms in the band structure, as well as the electron-impurity scattering and electron-electron interaction to all orders. We show that the spin-Hall conductivity naturally separates into two contributions, skew-scattering and side-jump, and we propose an experiment to distinguish between them.

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E. M. Hankiewicz, G. Vignale, M. Flatte. 2006-10-14. Spin-Hall effect in a [110] quantum well. https://doi.org/10.1103/physrevlett.97.266601

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