Steady states of a microwave-irradiated quantum-Hall gas.
We 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.
Auerbach
Assa
A
Physics Department, Technion, Haifa, Israel.
Finkler
Ilya
I
Halperin
Bertrand I
BI
Yacoby
Amir
A