Single Particle Relaxation in a Random Magnetic Field

TL;DR

This paper investigates how a random magnetic field affects the relaxation rate and density of states oscillations of 2D electrons, revealing unique properties of Landau level broadening independent of magnetic field strength.

Contribution

It introduces a gauge invariant relaxation time for 2D electrons in random magnetic fields and shows Landau level broadening is unaffected by magnetic field strength, unlike in potential scattering.

Findings

Density of states oscillations are characterized by a gauge invariant relaxation time.

Landau level broadening does not depend on magnetic field in this scenario.

The relaxation rate differs from conventional potential scattering cases.

Abstract

We consider the single particle relaxation rate of 2D electrons subject to a random magnetic field. The density of states (DOS) oscillations in a uniform magnetic field (in addition to a random one) are studied. We define a gauge invariant single particle relaxation time as a parameter describing the amplitude of DOS oscillations. Unlike the conventional case of random potential scattering the broadening of the Landau levels does not depend on magnetic field.