Properties of the disordered two-dimensional electron gas in a strong magnetic field

Abstract

The authors investigate non-interacting electrons moving in a two-dimensional, disordered potential under the influence of a perpendicular magnetic field. The random potential is assumed to have a minimum length scale for fluctuations. If the magnetic field is sufficiently strong the ratio of the cyclotron length to the correlation length of the potential is a small parameter. They develop a systematic perturbation theory in this quantity for the disorder-averaged Greens functions from which physical properties are calculated. The method yields useful results for single particle quantities, including the density of states, but not for the low-frequency transport coefficients.