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

Wanli Li, C. L. Vicente, J. S. Xia, W. Pan, D. C. Tsui, L. N. Pfeiffer, K. W. West

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126 Scopus citations

Abstract

The quantum Hall-plateau transition was studied at temperatures down to 1mK in a random alloy disordered high mobility two-dimensional electron gas. A perfect power-law scaling with κ=0.42 was observed from 1.2 K down to 12 mK. This perfect scaling terminates sharply at a saturation temperature of Ts∼10mK. The saturation is identified as a finite-size effect when the quantum phase coherence length (L φ T-p/2) reaches the sample size (W) of millimeter scale. From a size dependent study, Ts W-1 was observed and p=2 was obtained. The exponent of the localization length, determined directly from the measured κ and p, is ν=2.38, and the dynamic critical exponent z=1.

Original languageEnglish (US)
Article number216801
JournalPhysical review letters
Volume102
Issue number21
DOIs
StatePublished - May 26 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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