Magneto-spin Hall conductivity of a two-dimensional electron gas
Abstract
It is shown that the interplay of long-range disorder and in-plane magnetic field gives rise to an out-of-plane spin polarization and a finite spin Hall conductivity of the two-dimensional electron gas in the presence of Rashba spin-orbit coupling. A key aspect is provided by the electric-field induced in-plane spin polarization. Our results are obtained first in the clean limit where the spin-orbit splitting is much larger than the disorder broadening of the energy levels via the diagrammatic evaluation of the Kubo-formula. Then the results are shown to hold in the full range of the disorder parameter α pF τ by means of the quasiclassical Green function technique.
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