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25 April 2024
 
  » arxiv » cond-mat/0204508

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Mobility edge scaling at semiclassical and dissipative Hall transitions
Joel E. Moore ;
Date 24 Apr 2002
Subject cond-mat
AbstractThe 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.
Source arXiv, cond-mat/0204508
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