Two-dimensional electron gas in a uniform magnetic field in the presence of a delta-impurity

Abstract

The density of states and the Hall conductivity of a two-dimensional electron gas in a uniform magnetic field and in the presence of a delta impurity are exactly calculated using elementary field theoretic techniques. Although these results are not new, our treatment is explicitly gauge-invariant, and can be easily adapted to other problems involving a delta potential.

12+1 pages, 1 ps figure, REVTEX. Corrigendum added

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