Steady States of a Microwave Irradiated Quantum Hall Gas

Abstract

We consider effects of a long-wavelength disorder potential on the Zero Conductance State (ZCS) of the microwave-irradiated 2D electron gas. Assuming a uniform Hall conductivity, we construct a Lyapunov functional and derive stability conditions on the domain structure of the photo-generated fields. We solve the resulting equations for a general one-dimensional and certain two-dimensional disorder potentials, and find non-zero conductances, photo-voltages, and circulating dissipative currents. In contrast, weak white noise disorder does not destroy the ZCS, but induces mesoscopic current fluctuations.

4 pages, 2 colour figures

References in corpus (8)

• Evidence for a New Dissipationless Regime in 2D Electronic Transport
• Radiation-Induced Magnetoresistance Oscillations in a 2D Electron Gas
• Dynamical symmetry breaking as the origin of the zero-$dc$-resistance state in an $ac$-driven system
• Magnetotransport in two-dimensional electron gas at large filling factors
• Cyclotron resonance harmonics in the ac response of a 2D electron gas with smooth disorder
• Observation of Apparently Zero-Conductance States in Corbino Samples
• Radiation-Induced "Zero-Resistance State" and the Photon Assisted Transport
• Microwave photoconductivity of two-dimensional electron systems with unidirectional periodic modulation

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• Radiation-induced oscillatory-magnetoresistance in a tilted magnetic field in $GaAs/A{l}_{x}G{a}_{1-x}As$ devices
• Microwave photoconductivity of a 2D electron gas: Mechanisms and their interplay at high radiation power
• Resonant Phonon Scattering in Quantum Hall Systems Driven by dc Electric Fields
• Zero differential resistance state of two dimensional electron systems in strong magnetic fields
• Temperature Dependence of Microwave Photoresistance in 2D Electron Systems
• Nonlinear growth with the microwave intensity in radiation-induced magnetoresistance oscillations
• Magnetoresistance Oscillations in Two-dimensional Electron Systems Induced by AC and DC Fields
• Theory of the microwave induced zero resistance states in two-dimensional electron systems
• Observation of linear-polarization-sensitivity in the microwave-radiation-induced magnetoresistance oscillations
• Giant microwave photoresistivity in a high-mobility quantum Hall system
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• Role of electron-electron interactions in nonlinear transport in 2D electron systems
• Effect of microwave radiation on non-linear resistivity of a two-dimensional electron gas at large filling factors
• Sub-linear radiation power dependence of photo-excited resistance oscillations in two-dimensional electron systems
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• Non-linear Magnetoresistance Oscillations in Intensely Irradiated Two-Dimensional Electron Systems Induced by Multi-Photon Processes
• Microwave photoconductivity of a two-dimensional electron gas due to intra-Landau-level transitions
• Microwave Photoresistance in dc-driven 2D Systems at Cyclotron Resonance Subharmonics
• Nonlinear resistance of 2D electrons in crossed electric and magnetic fields
• Photo-current and photo-voltage oscillations in the two-dimensional electron system: screening and "anti-screening" of a potential profile
• Zero differential resistance in two-dimensional electron systems at large filling factors
• Hall field-induced resistance oscillations in tilted magnetic fields
• Nonlinear Current of Strongly Irradiated Quantum Hall Gas
• Microwave-induced electron heating in the regime of radiation-induced magnetoresistance oscillations
• Magneto-transport characteristics of a 2D electron system driven to negative magneto-conductivity by microwave photoexcitation
• Multiphoton microwave photoresistance in a high-mobility two-dimensional electron gas
• Theory of the microwave-induced photocurrent and photovoltage magnetooscillations in a spatially non-uniform 2D electron gas
• Microwave photoconductivity of a periodically modulated two-dimensional electron system: Striped states and overlapping Landau levels
• Quantum lifetime of 2D electron in magnetic field
• Microwave photoresistance in a two-dimensional electron gas with separated Landau levels
• Nonlinear theory of fractional microwave-induced magnetoresistance oscillations in a dc-driven two-dimensional electron system
• Non-linear response of a high mobility two-dimensional electron system near the second harmonic of the cyclotron resonance
• Phonon-induced resistance oscillations of two-dimensional electron systems drifting with supersonic velocities
• Nonlinear magnetoresistance of an irradiated two-dimensional electron system
• Magnetotransport of electrons in quantum Hall systems
• Phase of phonon-induced resistance oscillations in a high-mobility two-dimensional electron gas
• Shubnikov-de Haas oscillations in two-dimensional electron gas under subterahertz radiation
• Domain Patterns in the Microwave-Induced Zero-Resistance State
• Fine structure of high-power microwave-induced resistance oscillations
• Microwave Photoresistance in an Ultrahigh Quality GaAs Quantum Well
• Negative conductivity and anomalous screening in two-dimensional electron systems subjected to microwave radiation
• Emergence of domains and nonlinear transport in the zero-resistance state
• Quantum oscillations of dissipative resistance in crossed electric and magnetic fields
• Acousto-electric study of microwave-induced current domains
• Phase-sensitive bichromatic photoresistance in a two-dimensional electron gas
• Quantum geometry induced microwave enhancement of flat band superconductivity
• Linear Response of Zero-Resistance States
• Non linear conductivity and collective charge excitations in the lowest Landau level