Anisotropic magnetoconductivity of a three-dimensional disordered electron gas.

Abstract

The magnetoconductivity of a three-dimensional disordered electron gas is calculated from first principles 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 ${\ensuremath{\omega}}_{c}$\ensuremath{\tau}\ensuremath{\ll}1, where ${\ensuremath{\omega}}_{c}$ is the cyclotron frequency and \ensuremath{\tau} the elastic lifetime.