Abstract
Abstract The integer quantum Hall effect (IQHE) and its breakdown (onset of dissipation) reflect general properties of the solutions of the time-dependent Schrödinger equation, where the macroscopic electric field E is properly included. In particular, the dynamics of an electron in a broadened Landau band not only depends on the disorder potential but also on the value of |E|. This leads to an I n dependence of the conductivities σxx and σxy, which implies that the IQHE breaks down if |E| is sufficiently high. We show that the general form of the | El-dependence of σxx and σxy can lead to jumps in the longitudinal resistance at the breakdown of the IQHE, as observed in recent experiments.
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