Orbital ac spin-Hall effect in the hopping regime

Details Orbital ac spin-Hall effect in the hopping regime Orbital ac spin-Hall effect in the hopping regime

2005-02-19

arxiv.org/abs/cond-mat/0502478v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, no figures

Scientific paper

10.1103/PhysRevLett.95.086603

The Rashba and Dresselhaus spin-orbit interactions are both shown to yield the low temperature spin-Hall effect for strongly localized electrons coupled to phonons. A frequency-dependent electric field ${\bf E}(\omega)$ generates a spin-polarization current, normal to ${\bf E}$, due to interference of hopping paths. At zero temperature the corresponding spin-Hall conductivity is real and is proportional to $\omega^{2}$. At non-zero temperatures the coupling to the phonons yields an imaginary term proportional to $\omega$. The interference also yields persistent spin currents at thermal equilibrium, at ${\bf E}=0$. The contributions from the Dresselhaus and Rashba interactions to the interference oppose each other.

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