Density of states of a two-dimensional electron gas in a non-quantizing magnetic field

TL;DR

This paper investigates how a non-quantizing magnetic field affects local electron density of states and correlations in a two-dimensional conductor with smooth disorder, revealing significant effects on DOS correlations despite negligible impact on average DOS.

Contribution

It demonstrates that a classical magnetic field significantly influences DOS correlations and introduces oscillations with cyclotron frequency, a novel insight into electron behavior in such conditions.

Findings

Magnetic field negligibly affects average DOS

Significant impact on DOS correlations observed

DOS correlation function oscillates with cyclotron period

Abstract

We study local density of electron states of a two-dimentional conductor with a smooth disorder potential in a non-quantizing magnetic field, which does not cause the standart de Haas-van Alphen oscillations. It is found, that despite the influence of such ``classical'' magnetic field on the average electron density of states (DOS) is negligibly small, it does produce a significant effect on the DOS correlations. The corresponding correlation function exhibits oscillations with the characteristic period of cyclotron quantum $\hbar\omega_c$.