Are Microwave Induced Zero Resistance States Necessarily Static?

Abstract

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.

Submitted to PRB

References in corpus (4)

• Theory of microwave-induced oscillations in the magnetoconductivity of a 2D electron gas
• Observation of Apparently Zero-Conductance States in Corbino Samples
• Radiation-Induced "Zero-Resistance State" and the Photon Assisted Transport
• Nonlinear Current of Strongly Irradiated Quantum Hall Gas

Cited by in corpus (8)

• Mechanisms of the microwave photoconductivity in 2D electron systems with mixed disorder
• Nonlinear growth with the microwave intensity in radiation-induced magnetoresistance oscillations
• Giant microwave photoresistivity in a high-mobility quantum Hall system
• Microwave zero-resistance states in a bilayer electron system
• Role of electron-electron interactions in nonlinear transport in 2D electron systems
• Zero differential resistance in two-dimensional electron systems at large filling factors
• Theory of the microwave-induced photocurrent and photovoltage magnetooscillations in a spatially non-uniform 2D electron gas
• Non-linear response of a high mobility two-dimensional electron system near the second harmonic of the cyclotron resonance