Frequency-dependent deformation of the Hall plateaux

Abstract

The authors calculate the Hall conductivity in the low frequency limit for a 2D model of independent electrons in the tails of the density of states between the disorder broadened Landau levels. It is shown that there are corrections to the quantized values of sigma yx, which are proportional to omega 2 and to the number of localized states in a given tail of the band. The authors relate their theoretical results to microwave experiments on GaAs-AlGaAs heterostructures.