Theory of electronic density of states of a two-dimensional disordered system in the presence of a strong magnetic field (invited)

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Abstract
We calculate the density of states (DOS) of a two-dimensional electron gas in the presence of an external magnetic field. We take into account the self-consistent screening of the impurity scattering and the Landau level coupling effects. Using realistic parameters, we find qualitative agreement with the existing experiments. Our calculated DOS is broad and fairly featureless with considerable overlap between the Landau levels and is quite different from the well-separated Landau levels derived from the short-range interaction model. This implies that the calculated level broadenings are much larger than that obtained from the short-range model.