On the effect of far impurities on the density of states of two-dimensional electron gas in a strong magnetic field
I. S. Burmistrov*+, M. A. Skvortsov*
*L. D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia
+Institute for Theoretical Physics, University of Amsterdam, 1018 XE Amsterdam, The Netherlands
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