Domain Patterns in the Microwave-Induced Zero-Resistance State

Details Domain Patterns in the Microwave-Induced Zero-Resistance State Domain Patterns in the Microwave-Induced Zero-Resistance State

2005-10-27

arxiv.org/abs/cond-mat/0510722v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

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.

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