Scaling in Plateau-to-Plateau Transition: A Direct Connection of Quantum Hall Systems with 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 1.2K down to 12mK. This perfect scaling terminates sharply at a saturation temperature...

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Bibliographic Details
Published in:arXiv.org 2009-05
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
Subjects:
Anderson localization
Coherence length
Electron gas
Localization
Phase coherence
Saturation
Scaling
Size effects
Online Access:Get full text
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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 1.2K down to 12mK. This perfect scaling terminates sharply at a saturation temperature of T_s~10mK. The saturation is identified as a finite-size effect when the quantum phase coherence length (L_{\phi} ~ T^{-p/2}) reaches the sample size (W) of millimeter scale. From a size dependent study, T_s \propto 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:2331-8422
DOI:10.48550/arxiv.0905.0885