New path-integral solution for the density of states of two-dimensional electrons in high magnetic fields.

Abstract

A new method for calculating the density of states of the two-dimensional electron gas in high magnetic fields with random scatterers is presented. Within the path-integral formalism we go beyond the short-time approximation and introduce a nonlocal harmonic-oscillator correction. Since the path integral of the nonlocal harmonic oscillator in a magnetic field can be solved exactly, a new solution of the density of states is obtained.