Auerbach, AssaFinkler, IlyaHalperin, Bertrand I.Yacoby, Amir2019-09-272005Auerbach, Assa, Ilya Finkler, Bertrand I. Halperin, and Amir Yacoby. 2005. “Steady States of a Microwave-Irradiated Quantum-Hall Gas.” Physical Review Letters 94 (19). https://doi.org/10.1103/physrevlett.94.196801.0031-90071079-71141092-0145http://nrs.harvard.edu/urn-3:HUL.InstRepos:41417299We 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 photogenerated fields. We solve the resulting equations for a general one-dimensional and certain two-dimensional disorder potentials, and find nonzero conductances, photovoltages, and circulating dissipative currents. In contrast, weak white-noise disorder does not destroy the ZCS, but induces mesoscopic current fluctuations.en-USJournal Article2019-09-2710.1103/PhysRevLett.94.196801