Self-Consistent Treatment of Two-Dimensional Anderson Localization in the Absence of Time Reversal Symmetry
A self-consistent scheme to calculate the dynamical conductivity σ(ω), which is developed by VOLLHARDT and WÖLFLE, is refined and applied to systems without the time reversal symmetry. The conductivity is calculated in the presence of weak magnetic field, spin-orbit scattering or paramagnetic impurities for two-dimensional systems with EFτ≫1, where EF is the Fermi energy and τ is the lifetime of the electron. It is shown that the weak magnetic field does not destroy the localization, whereas the spin-orbit scattering or the spin-flip scattering by paramagnetic impurities makes the static conductivity σ(0) finite.
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