Scaling in plateau-to-plateau transition: a direct connection of quantum hall systems with the Anderson localization model

The quantum Hall-plateau transition was studied at temperatures down to 1 mK in a random alloy disordered high mobility two-dimensional electron gas. A perfect power-law scaling with kappa=0.42 was observed from 1.2 K down to 12 mK. This perfect scaling terminates sharply at a saturation temperature...

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Bibliographic Details
Published in:Physical review letters 2009-05, Vol.102 (21), p.216801-216801, Article 216801
Main Authors: Li, Wanli, Vicente, C L, Xia, J S, Pan, W, Tsui, D C, Pfeiffer, L N, West, K W
Format: Article
Language:English
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Summary:The quantum Hall-plateau transition was studied at temperatures down to 1 mK in a random alloy disordered high mobility two-dimensional electron gas. A perfect power-law scaling with kappa=0.42 was observed from 1.2 K down to 12 mK. This perfect scaling terminates sharply at a saturation temperature of Ts approximately 10 mK. The saturation is identified as a finite-size effect when the quantum phase coherence length (Lphi proportional, T(-p/2)) reaches the sample size (W) of millimeter scale. From a size dependent study, Ts proportional, W(-1) was observed and p=2 was obtained. The exponent of the localization length, determined directly from the measured kappa and p, is nu=2.38, and the dynamic critical exponent z=1.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.102.216801