Nonlinear Current of Strongly Irradiated Quantum Hall Gas

TL;DR

This paper models the nonlinear electrical response of a strongly irradiated quantum Hall gas, revealing how disorder and microwave fields induce resistivity oscillations and zero resistance states.

Contribution

It introduces a Floquet-based approach with a Random Matrix Approximation to analyze nonlinear current responses in irradiated quantum Hall systems.

Findings

Derived the magnitude of Microwave Induced Resistivity Oscillations.

Identified disorder wavelength cutoff as key to nonlinear electric fields.

Discussed implications for experiments and theoretical models.

Abstract

Two dimensional electrons in weakly disordered high Landau levels are considered. The current-field response in the presence of a strong microwave field, is computed. The disordered Floquet evolution operator allows us to treat the short range disorder perturbatively, at any strength of electric fields. A simplifying Random Matrix Approximation reproduces the broadened Landau levels density of states and structure factor. We derive the magnitude of the Microwave Induced Resistivity Oscillations. The disorder short wavelength cut-off determines the non-linear electric fields of the Zero Resistance State and the Hall Induced Resistivity Oscillations. We discuss wider implications of our results on experiments and other theories.