Domain Patterns in the Microwave-Induced Zero-Resistance State

Abstract

It has been proposed that the microwave-induced ``zero-resistance'' phenomenon, observed in a GaAs two-dimensional electron system at low temperatures in moderate magnetic fields, results from a state with multiple domains, in which a large local electric field $\bE(\br)$ is oriented in different directions. We explore here the questions of what may determine the domain arrangement in a given sample, what do the domains look like in representative cases, and what may be the consequences of domain-wall localization on the macroscopic dc conductance. We consider both effects of sample boundaries and effects of disorder, in a simple model, which has a constant Hall conductivity, and is characterized by a Lyapunov functional.

19 pages, 5 figures; submitted to a special issue of Journal of Statistical Physics, in honor of P. C. Hohenberg and J. S. Langer

References in corpus (10)

• Evidence for a New Dissipationless Regime in 2D Electronic Transport
• 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
• Magnetotransport in two-dimensional electron gas at large filling factors
• The microscopic nature of localization in the quantum Hall effect
• 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
• Observation of Apparently Zero-Conductance States in Corbino Samples
• Steady States of a Microwave Irradiated Quantum Hall Gas
• Transition to zero resistance in a two dimensional electron gas driven with microwaves

Cited by in corpus (7)

• Nonequilibrium phenomena in high Landau levels
• Are Microwave Induced Zero Resistance States Necessarily Static?
• Role of electron-electron interactions in nonlinear transport in 2D electron systems
• Nonlinear Current of Strongly Irradiated Quantum Hall Gas
• Emergence of domains and nonlinear transport in the zero-resistance state
• Linear Response of Zero-Resistance States
• Non linear conductivity and collective charge excitations in the lowest Landau level