Statistical model for inhomogeneities in a two-dimensional electron gas implying a background density of states between Landau levels

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Abstract
We discuss a statistical model for a spatially inhomogeneous two-dimensional electron gas in a quantizing magnetic field which simulates the effect of Poisson's equation and some essential properties of self-consistent screening. The model yields an effective background density of states between Landau levels and may explain a number of recent experimental observations.