Mobility edge scaling at semiclassical and dissipative Hall transitions

Abstract

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 $\eta =2x_1=1/2$, 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.

4 pages

References in corpus (2)

• Hopping conductivity in the quantum Hall effect -- revival of universal scaling
• Connecting polymers to the quantum Hall plateau transition

Cited by in corpus (3)

• Wave function statistics and multifractality at the spin quantum Hall transition
• Multifractality at the spin quantum Hall transition
• Experimental Studies of Scaling Behavior of a Quantum Hall System with a Tunable Landau Level Mixing