Mobility edge scaling at semiclassical and dissipative Hall transitions

Details Mobility edge scaling at semiclassical and dissipative Hall transitions Mobility edge scaling at semiclassical and dissipative Hall transitions

2002-04-23

arxiv.org/abs/cond-mat/0204508v1

Physics

Condensed Matter

4 pages

Scientific paper

10.1103/PhysRevB.65.241309

The universal anomalous diffusion scaling is obtained for the semiclassical quantum Hall transition, which has been argued to describe samples with dissipation or correlated impurities. The results explain a discrepancy between existing numerics and the expected scaling $\eta = 2 x_1 = {1/2}$, which is violated because of a cancellation in the scaling function. The crossover with increasing observation time from semiclassical to quantum scaling is shown to explain a recent experiment which finds different scaling laws depending on how the localization length is extracted.

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