Toward a theory of the impurity states of electrons in two-dimensional electron gas

Georgiy I Rashba V.N. Karazin Kharkiv National University, 4 Freedom Square, Kharkiv, 61022, Ukraine

Keywords: method of local perturbations, two-dimensional electron gas, magnetoimpurity states, Green function

Abstract

The two-dimensional electron conductors containing impurity atoms capable of localiz-ing electrons in a magnetic field are considered with the use of quantum Green function methods for investigating electron magnetoimpurity states. These states are taken into account by the Lifshits method of local perturbations. The theory is illustrated for the case of a two-dimensional electron gas with impurity atoms in a quantizing magnetic fi eld. The characteristics of magnetoimpurity states are calculated for Gaussian separable impurity potential.

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