"Phase Diagram" of the Spin Hall Effect

Details "Phase Diagram" of the Spin Hall Effect "Phase Diagram" of the Spin Hall Effect

2007-07-16

arxiv.org/abs/0707.2251v5

Phys. Rev. Lett. 100, 026602 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Some typos corrected

Scientific paper

10.1103/PhysRevLett.100.026602

We obtain analytic formulas for the frequency-dependent spin-Hall conductivity of a two-dimensional electron gas (2DEG) in the presence of impurities, linear spin-orbit Rashba interaction, and external magnetic field perpendicular to the 2DEG. We show how different mechanisms (skew-scattering, side-jump, and spin precession) can be brought in or out of focus by changing controllable parameters such as frequency, magnetic field, and temperature. We find, in particular, that the d.c. spin Hall conductivity vanishes in the absence of a magnetic field, while a magnetic field restores the skew-scattering and side-jump contributions proportionally to the ratio of magnetic and Rashba fields.

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