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Phys. Rev. Lett. 67, 883–886 (1991)

Size-dependent analysis of the metal-insulator transition in the integral quantum Hall effect

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S. Koch, R. J. Haug, K. v. Klitzing, and K. Ploog
Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-7000 Stuttgart 80, Federal Republic of Germany

Received 23 April 1991; published in the issue dated 12 August 1991

The critical exponent ν of the localization length in the integral quantum Hall regime can be measured directly using the Hall-bar geometries with different sizes. We obtain a universal behavior for the three lowest Landau levels. This is in agreement with the universality prediction of the field-theoretic approach to the metal-insulator transition in the quantum Hall effect. The value of ν=2.3±0.1 agrees with recent numerical studies for the lowest Landau level. The measured value of the temperature exponent of the inelastic-scattering rate is found to range from p=2.7±0.3 to p=3.4±0.4.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.67.883
DOI:
10.1103/PhysRevLett.67.883
PACS:
72.20.My, 73.40.Kp