Finkler, IlyaHalperin, Bertrand2014-05-222009Finkler, Ilya G., and Bertrand I. Halperin. 2009. “Microwave-Induced Zero-Resistance States Are Not Necessarily Static.” Physical Review B 79 (8) (February).1098-0121http://nrs.harvard.edu/urn-3:HUL.InstRepos:12211477We study the effect of inhomogeneities in Hall conductivity on the nature of the zero resistance states seen in the microwave irradiated two-dimensional electron systems in weak perpendicular magnetic fields and show that time-dependent domain patterns may emerge in some situations. For an annular Corbino geometry, with an equilibrium charge density that varies linearly with radius, we find a time-periodic nonequilibrium solution, which might be detected by a charge sensor, such as a single electron transistor. For a model on a torus, in addition to static domain patterns seen at high and low values of the equilibrium charge inhomogeneity, we find that, in the intermediate regime, a variety of nonstationary states can also exist. We catalog the possibilities we have seen in our simulations. Within a particular phenomenological model, we show that linearizing the nonlinear charge continuity equation about a particularly simple domain-wall configuration and analyzing the eigenmodes allows us to estimate the periods of the solutions to the full nonlinear equation.en-USJournal Article2014-05-2210.1103/PhysRevB.79.085315