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Phys. Rev. Lett. 102, 216801 (2009) [4 pages]

Scaling in Plateau-to-Plateau Transition: A Direct Connection of Quantum Hall Systems with the Anderson Localization Model

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Wanli Li1,*, C. L. Vicente2, J. S. Xia2, W. Pan3, D. C. Tsui1, L. N. Pfeiffer4, and K. W. West4
1Princeton University, Princeton, New Jersey 08544, USA
2National High Magnetic Field Laboratory (NHMFL) and University of Florida, Gainesville, Florida 32611, USA
3Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
4Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974, USA

See Also: Publisher's Note

Received 19 December 2005; published 27 May 2009; publisher error corrected 8 June 2009

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 κ=0.42 was observed from 1.2 K down to 12 mK. This perfect scaling terminates sharply at a saturation temperature of Ts∼10  mK. The saturation is identified as a finite-size effect when the quantum phase coherence length (LϕT-p/2) reaches the sample size (W) of millimeter scale. From a size dependent study, TsW-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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.216801
DOI:
10.1103/PhysRevLett.102.216801
PACS:
73.43.Nq, 72.80.Ey, 73.40.Kp

*sciwanli@gmail.com.

See Also

Publisher's Note: Wanli Li, C. L. Vicente, J. S. Xia, W. Pan, D. C. Tsui, L. N. Pfeiffer, and K. W. West, Publisher’s Note: Scaling in Plateau-to-Plateau Transition: A Direct Connection of Quantum Hall Systems with the Anderson Localization Model [Phys. Rev. Lett. 102, 216801 (2009)], Phys. Rev. Lett. 102, 249901 (2009).