Are Microwave Induced Zero Resistance States Necessarily Static?

Details Are Microwave Induced Zero Resistance States Necessarily Static? Are Microwave Induced Zero Resistance States Necessarily Static?

2008-06-10

arxiv.org/abs/0806.1562v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Submitted to PRB

Scientific paper

10.1103/PhysRevB.79.085315

We 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 we 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 non-equilibrium solution, which might be detected by a charge sensor, such as an SET. 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.

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