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Nonlinear Current of Strongly Irradiated Quantum Hall Gas

Assa Auerbach·G. Venketeswara Pai
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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.

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Assa Auerbach, G. Venketeswara Pai. 2007-10-07. Nonlinear Current of Strongly Irradiated Quantum Hall Gas. https://doi.org/10.1103/physrevb.76.205318

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