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arXiv · 0709.0725

Theory of spin Hall effect

Eugene M. Chudnovsky
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Abstract

An extension of Drude model is proposed that accounts for spin and spin-orbit interaction of charge carriers. Spin currents appear due to combined action of the external electric field, crystal field and scattering of charge carriers. The expression for spin Hall conductivity is derived for metals and semiconductors that is independent of the scattering mechanism. In cubic metals, spin Hall conductivity $σ_s$ and charge conductivity $σ_c$ are related through $σ_s = [2 π\hbar/(3mc^2)]σ_c^2$ with $m$ being the bare electron mass. Theoretically computed value is in agreement with experiment.

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Eugene M. Chudnovsky. 2007-09-14. Theory of spin Hall effect. https://doi.org/10.1103/physrevlett.99.206601

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