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On the effect of far impurities on the density of states of two-dimensional electron gas in a strong magnetic field

2003/07/03 by I. S. Burmistrov, M. A. Skvortsov
Physics and Astronomy · #cond-mat.mes-hall

paper · pdf · doi:10.1134/1.1618883

published as Pis'ma v ZhETF 78, 188 (2003) [JETP Lett. 78, 156 (2003)] · 6 pages, 1 figure, submitted to JETP Letters

arxiv created 2003/07/03 · arxiv updated 2009/11/30

Abstract

The effect of impurities situated at different distances from a two-dimensional electron gas on the density of states in a strong magnetic field is analyzed. Based on the exact result of Brezin, Gross, and Itzykson, we calculate the density of states in the whole energy range, assuming the Poisson distribution of impurities in the bulk. It is shown that in the case of small impurity concentration the density of states is qualitatively different from the model case when all impurities are located in the plane of the two-dimensional electron gas.

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