期刊
JOURNAL OF STATISTICAL PHYSICS
卷 125, 期 5-6, 页码 1097-1111出版社
SPRINGER
DOI: 10.1007/s10955-006-9037-7
关键词
quantum Hall effect; two-dimensional electron gas; mesoscopic systems; photoconductivity
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 E(r) 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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