Universal Singularities in the Integral Quantum Hall Effect

A. M. M. Pruisken
Phys. Rev. Lett. 61, 1297 – Published 12 September 1988
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Abstract

The transition between localized and extended eigenstates in the integral quantum Hall regime is observable as a scaling phenomenon in the magnetoresistance tensor as a function of temperature and applied magnetic field strength. Field-theoretic studies on the quantum Hall effect are used to derive the scaling functions. The scaling behavior is shown to involve only a single critical exponent (μ) which is the ratio between the inelastic-scattering exponent (p) and twice the localization length exponent (ν). The results have recently been confirmed experimentally.

  • Received 25 February 1988

DOI:https://doi.org/10.1103/PhysRevLett.61.1297

©1988 American Physical Society

Authors & Affiliations

A. M. M. Pruisken

  • Department of Physics, Columbia University, New York, New York 10027

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Issue

Vol. 61, Iss. 11 — 12 September 1988

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