Magnetotransport in two-dimensional electron gas at large filling factors

TL;DR

This paper derives a quantum Boltzmann equation for a 2D electron gas at large filling factors, capturing effects like Shubnikov-de Haas oscillations, magnetoresistance, and microwave-induced transport phenomena.

Contribution

It provides a comprehensive quantum kinetic framework including external fields and microwave effects, advancing understanding of high filling factor magnetotransport.

Findings

Quantitative analysis of microwave effects on transport

Description of oscillating resistivity and zero-resistance states

Microscopic justification of existing models

Abstract

We derive the quantum Boltzmann equation for the two-dimensional electron gas in a magnetic field such that the filling factor $\nu \gg 1$. This equation describes all of the effects of the external fields on the impurity collision integral including Shubnikov-de Haas oscillations, smooth part of the magnetoresistance, and non-linear transport. Furthemore, we obtain quantitative results for the effect of the external microwave radiation on the linear and non-linear $dc$ transport in the system. Our findings are relevant for the description of the oscillating resistivity discovered by Zudov {\em et al.}, zero-resistance state discovered by Mani {\em et al.} and Zudov {\em et al.}, and for the microscopic justification of the model of Andreev {\em et al.}. We also present semiclassical picture for the qualitative consideration of the effects of the applied field on the collision integral.