Nonlinear Current of Strongly Irradiated Quantum Hall Gas

Details Nonlinear Current of Strongly Irradiated Quantum Hall Gas Nonlinear Current of Strongly Irradiated Quantum Hall Gas

2006-12-18

arxiv.org/abs/cond-mat/0612469v2

Phys. Rev. B 76, 205318, (2007).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 10 figures: An expanded review article of the previously posted short version, with new results on the HIRO and comb

Scientific paper

10.1103/PhysRevB.76.205318

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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