Linear response of zero-resistance states

Abstract

A two-dimensional electron system in the presence of a magnetic field and microwave irradiation can undergo a phase transition towards a zero-resistance state (ZRS). A widely used model predicts the ZRS to be a domain state, which responds to applied dc voltages or dc currents by slightly changing the domain structure. Here we propose an alternative response scenario, according to which the domain pattern remains unchanged. Surprisingly, a fixed domain pattern does not destroy zero-resistance, provided that the resistance is direction independent. Otherwise, if the symmetry of the domain pattern allows a direction dependence of the resistance, the domain state can be dissipative. We give examples for both situations and simulate the response behavior numerically.

Self-oscillations and noise-induced flips of spontaneous electric field in microwave-induced zero resistance state

“…At the same time, in many instances the observed cyclic voltage reversal was almost periodic in time which suggests a hidden slow deterministic dynamics favoring the reversal of field in domains. In other words, experiments indicated that the actual domain state in ZRS is not static in contrast to theoretical predictions [8][9][10][11][12][13][14][15][16] 1 .…”

“…Here we address the dynamic properties of ZRS which are largely insensitive to the underlying nonequilibrium kinetics of electrons: at relevant large spatial and time scales the microscopic dynamics is fully encoded in local conductivity and diffusion coefficients which enter as phenomenological parameters into the classical equations of motion [5,[8][9][10][11][12][13][14][15][16][17][18][19][20].…”