Solution of the Boltzmann equation in a random magnetic field

TL;DR

This paper develops a general framework for solving the Boltzmann equation for a 2D electron gas in random magnetic fields, with applications to recent experiments and potential extensions to composite fermions at half filling.

Contribution

It introduces a novel formalism for the Boltzmann equation in the presence of random magnetic fields, applicable to 2DEG systems and related to experimental observations.

Findings

Framework successfully applied to recent experimental data

Potential extension to composite fermion systems at ν=1/2

Provides insights into electron transport in disordered magnetic environments

Abstract

A general framework for solving the Boltzmann equation for a 2-dimensional electron gas (2DEG) in random magnetic fields is presented, when the random fields are included in the driving force. The formalism is applied to some recent experiments, and a possible extension to composite fermions at $\nu=1/2$ is discussed.