Exact density of states of a two-dimensional electron gas in a strong magnetic field and a long-range correlated random potential

TL;DR

This paper derives an exact expression for the density of states of a 2D electron gas subjected to a strong magnetic field and a long-range correlated random potential, providing precise insights into its quantum behavior.

Contribution

It presents the first exact analytical derivation of the density of states for a 2D electron gas in a magnetic field with long-range correlated disorder.

Findings

Exact averaged Feynman propagator derived

Density of states explicitly calculated

Results applicable to systems with long-range disorder

Abstract

We derive an exact result for the averaged Feynman propagator and the corresponding density of states of an electron in two dimensions in a perpendicular homogeneous magnetic field and a Gaussian random potential with long-range spatial correlations described by a quadratic correlation function.