Anisotropic magnetoconductivity of a three-dimensional disordered electron gas

Abstract

The magnetoconductivity of a three-dimensional disordered electron gas is calculated from first principies with use of the exact electron eigenstates in a magnetic field, thus avoiding the usual semiclassical approximation in this field. Our calculation gives anisotropic components for the conductivity tensor, and the isotropic behavior predicted by other authors is recovered in the limit wct << 1, where wc is the cyclotron frequency andt the elastic lifetime.