Theory of spin Hall effect

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 ${\sigma }_s$ and charge conductivity ${\sigma }_c$ are related through ${\sigma }_s=[2\pi \hslash /(3m{c}^2)]{\sigma }_c^2$ with $m$ being the bare electron mass. Theoretically computed value is in agreement with experiment.

4 pages, 0 figures, minor extension and corrections of version 1

References in corpus (3)

• Direct electronic measurement of the spin Hall effect
• Theory of Spin Hall conductivity in n-doped GaAs
• Current-Induced Polarization and the Spin Hall Effect at Room Temperature

Cited by in corpus (6)

• Semiclassical theories of the anomalous Hall effect
• Intrinsic spin Hall effect in noncubic crystals
• Comment on "Theory of Spin Hall Effect: Extension of the Drude Model"
• Origin of Spin Hall Effect (Reply to Comment)
• Thermally Assisted Spin Hall Effect
• 2D skew scattering in the vicinity and away from resonant scattering condition