Are Microwave Induced Zero Resistance States Necessarily Static?

Abstract

We study the effect of inhomogeneities in Hall conductivity on the nature of the Zero Resistance States seen in the microwave irradiated two-dimensional electron systems in weak perpendicular magnetic fields, and we show that time-dependent domain patterns may emerge in some situations. For an annular Corbino geometry, with an equilibrium charge density that varies linearly with radius, we find a time-periodic non-equilibrium solution, which might be detected by a charge sensor, such as an SET. For a model on a torus, in addition to static domain patterns seen at high and low values of the equilibrium charge inhomogeneity, we find that, in the intermediate regime, a variety of nonstationary states can also exist. We catalog the possibilities we have seen in our simulations. Within a particular phenomenological model, we show that linearizing the nonlinear charge continuity equation about a particularly simple domain wall configuration and analyzing the eigenmodes allows us to estimate the periods of the solutions to the full nonlinear equation.

Submitted to PRB

References in corpus (16)

• Evidence for a New Dissipationless Regime in 2D Electronic Transport
• Radiation-Induced Magnetoresistance Oscillations in a 2D Electron Gas
• Theory of microwave-induced oscillations in the magnetoconductivity of a 2D electron gas
• Dynamical symmetry breaking as the origin of the zero-$dc$-resistance state in an $ac$-driven system
• Radiation-induced magnetoresistance oscillation in a two-dimensional electron gas in Faraday geometry
• The microscopic nature of localization in the quantum Hall effect
• Giant microwave photoresistance of two-dimensional electron gas
• Evidence for current flow anomalies in the irradiated 2D electron system at small magnetic fields
• Cyclotron resonance harmonics in the ac response of a 2D electron gas with smooth disorder
• Theoretical approach to micro wave radiation-induced zero-resistance states in 2D electron systems
• Observation of Apparently Zero-Conductance States in Corbino Samples
• Radiation-Induced "Zero-Resistance State" and the Photon Assisted Transport
• Steady States of a Microwave Irradiated Quantum Hall Gas
• Kubo formula for Floquet states and photoconductivity oscillations in a 2D electron gas
• Nonlinear Current of Strongly Irradiated Quantum Hall Gas
• Domain Patterns in the Microwave-Induced Zero-Resistance State

Cited by in corpus (35)

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• Observation of linear-polarization-sensitivity in the microwave-radiation-induced magnetoresistance oscillations
• Giant microwave photoresistivity in a high-mobility quantum Hall system
• Microwave zero-resistance states in a bilayer electron system
• Role of electron-electron interactions in nonlinear transport in 2D electron systems
• Sub-linear radiation power dependence of photo-excited resistance oscillations in two-dimensional electron systems
• Effect of rotation of the polarization of linearly polarized microwaves on the radiation-induced magnetoresistance oscillations
• Non-linear Magnetoresistance Oscillations in Intensely Irradiated Two-Dimensional Electron Systems Induced by Multi-Photon Processes
• Zero differential resistance in two-dimensional electron systems at large filling factors
• Hall field-induced resistance oscillations in tilted magnetic fields
• 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
• Combined study of microwave-power/linear-polarization dependence of the microwave-radiation-induced magnetoresistance oscillations in GaAs/AlGaAs devices
• Theory of the microwave-induced photocurrent and photovoltage magnetooscillations in a spatially non-uniform 2D electron gas
• Comparative study of microwave radiation-induced magnetoresistive oscillations induced by circularly- and linearly- polarized photo-excitation
• Dissipative Floquet Majorana modes in proximity-induced topological superconductors
• Microwave Induced Zero-Conductance State in a Corbino Geometry 2D Electron Gas with Capacitive Contacts
• Non-linear response of a high mobility two-dimensional electron system near the second harmonic of the cyclotron resonance
• Remotely sensed transport in microwave photoexcited GaAs/AlGaAs two-dimensional electron system
• Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation
• Shubnikov-de Haas oscillations in two-dimensional electron gas under subterahertz radiation
• Remote sensor response study in the regime of the microwave radiation-induced magnetoresistance oscillations
• Microwave Photoresistance in an Ultrahigh Quality GaAs Quantum Well
• Negative conductivity and anomalous screening in two-dimensional electron systems subjected to microwave radiation
• Magneto-oscillations and anomalous current states in a photo-excited electron gas on liquid helium
• Emergence of domains and nonlinear transport in the zero-resistance state
• Density domains of a photo-excited electron gas on liquid helium
• Evolution of the linear-polarization-angle-dependence of the radiation-induced magnetoresistance-oscillations with microwave power
• Acousto-electric study of microwave-induced current domains
• Phase-sensitive bichromatic photoresistance in a two-dimensional electron gas
• Linear Response of Zero-Resistance States
• Non linear conductivity and collective charge excitations in the lowest Landau level