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

S. Koch; R. J. Haug; K. V. Klitzing; K. Ploog

doi:10.1103/PhysRevLett.67.883

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

S. Koch, R. J. Haug, K. V. Klitzing, K. Ploog

Optical Sciences, College of

Research output: Contribution to journal › Article › peer-review

232 Scopus citations

Abstract

The critical exponent 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 =2.30.1 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=2.70.3 to p=3.40.4.

Original language	English (US)
Pages (from-to)	883-886
Number of pages	4
Journal	Physical review letters
Volume	67
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevLett.67.883
State	Published - 1991

ASJC Scopus subject areas

Physics and Astronomy(all)

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abstract = "The critical exponent 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 =2.30.1 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=2.70.3 to p=3.40.4.",

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AB - The critical exponent 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 =2.30.1 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=2.70.3 to p=3.40.4.

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