Nonlinear response of the quantum Hall system to a strong electromagnetic radiation

TL;DR

This paper investigates the nonlinear optical responses of quantum Hall systems, specifically third harmonic generation and Faraday effect, revealing robust Hall plateau features and proposing feasible experimental observations.

Contribution

It introduces the analysis of nonlinear effects like third harmonic generation and Faraday rotation in quantum Hall systems, highlighting their robustness and experimental observability.

Findings

Hall plateau features in nonlinear responses

Robustness against Landau level broadening

Feasible experimental detection of third harmonic and Faraday rotation

Abstract

We study nonlinear response of a quantum Hall system in semiconductor-heterostructures via third harmonic generation process and nonlinear Faraday effect. We demonstrate that Faraday rotation angle and third harmonic radiation intensity have a characteristic Hall plateaus feature. These nonlinear effects remain robust against the significant broadening of Landau levels. We predict realization of an experiment through the observation of the third harmonic signal and Faraday rotation angle, which are within the experimental feasibility.