Nonlinear Current of Strongly Irradiated Quantum Hall Gas

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.

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

References in corpus (4)

• Theory of microwave-induced oscillations in the magnetoconductivity of a 2D electron gas
• Magnetotransport in a two-dimensional electron system in dc electric fields
• Magnetoresistance Oscillations in Two-dimensional Electron Systems Induced by AC and DC Fields
• Photoconductivity in AC-driven modulated two dimensional electron gas in a perpendicular magnetic field

Cited by in corpus (11)

• Mechanisms of the microwave photoconductivity in 2D electron systems with mixed disorder
• Nonlinear growth with the microwave intensity in radiation-induced magnetoresistance oscillations
• Observation of linear-polarization-sensitivity in the microwave-radiation-induced magnetoresistance oscillations
• Giant microwave photoresistivity in a high-mobility quantum Hall system
• Phase study of oscillatory resistances in microwave-irradiated- and dark- GaAs/AlGaAs devices: Indications of a new class of integral quantum Hall effect
• Are Microwave Induced Zero Resistance States Necessarily Static?
• Effect of microwave radiation on non-linear resistivity of a two-dimensional electron gas at large filling factors
• Non-linear magnetotransport in microwave-illuminated two-dimensional electron systems
• Microwave Photoresistance in dc-driven 2D Systems at Cyclotron Resonance Subharmonics
• Nonlinear theory of fractional microwave-induced magnetoresistance oscillations in a dc-driven two-dimensional electron system
• Nonlinear magnetoresistance of an irradiated two-dimensional electron system