Steady States of a Microwave Irradiated Quantum Hall Gas

Details Steady States of a Microwave Irradiated Quantum Hall Gas Steady States of a Microwave Irradiated Quantum Hall Gas

2005-01-09

arxiv.org/abs/cond-mat/0501170v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 colour figures

Scientific paper

10.1103/PhysRevLett.94.196801

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.

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