Floquet theory of microwave absorption by an impurity in two dimensional electron gas

TL;DR

This paper uses Floquet theory to analyze microwave absorption in a 2D electron gas with impurities, revealing how impurity-induced inhomogeneities affect polarization dependence and charge density responses, explaining experimental anomalies.

Contribution

It introduces a Floquet-based approach to model impurity effects in microwave-irradiated 2DEGs, linking semiclassical dynamics to observed polarization independence.

Findings

Charge density forms a rotating vortex around impurities.

Impurity-induced inhomogeneity suppresses polarization dependence.

The model explains the unanticipated polarization independence in experiments.

Abstract

We investigate the dynamics of a two-dimensional electron gas (2DEG) under circular polarized microwave radiation in presence of dilute localized impurities. Inspired by recent developments on Floquet topological insulators we obtain the Floquet wavefunctions of this system which allow us to predict the microwave absorption and charge density responses of the electron gas, we demonstrate how these properties can be understood from the underlying semiclassical dynamics even for impurities with a size of around a magnetic length. The charge density response takes the form of a rotating charge density vortex around the impurity that can lead to a significant renormalization of the external microwave field which becomes strongly inhomogeneous on the scale of a cyclotron radius around the impurity. We show that this in-homogeneity can suppress the circular polarization dependence which is theoretically expected for MIRO but which was not observed in MIRO experiments on semiconducting 2DEGs. Our explanation, for this so far unexplained polarization independence, has close similarities with the Azbel'-Kaner effect in metals where the interaction length between the microwave field and conduction electrons is much smaller than the cyclotron radius due to skin effect generating harmonics of the cyclotron resonance.