Abstract

We report results of low temperature conductance measurements made on a wide two-dimensional electron gas as a function of sample length L and temperature, in a regime where conduction proceeds via tunneling or hopping through channels of localized states. We extend our recent study of the behavior of the ensemble averaged logarithm of conductance <ln G> and focus on fluctuations of conductance as a function of the chemical potential μ, which occur on at least three characteristic gate voltage scales VC. A detailed study of VC and variance vs. L and T for those three types of fluctuations reveals a complex behavior, probably caused by several competing effects. Our results suggest that both disorder and electron-electron interactions have to be taken into account to describe the properties of our samples.

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