Scaling of conductivities in the fractional quantum Hall effect

Phys. Rev. B 32, 1311 – Published 15 July 1985
R. B. Laughlin, Marvin L. Cohen, J. M. Kosterlitz, Herbert Levine, Stephen B. Libby, and Adrianus M. M. Pruisken

Abstract

We suggest that Hall steps in the fractional quantum Hall effect are physically similar to those in the ordinary quantum Hall effect. This proposition leads to a simple scaling diagram containing a new type of fixed point, which we identify with the destruction of fractional states by disorder.

DOI: http://dx.doi.org/10.1103/PhysRevB.32.1311

  • Received 14 March 1985
  • Published in the issue dated 15 July 1985

© 1985 The American Physical Society

Authors & Affiliations

R. B. Laughlin

  • Lawrence Livermore National Laboratory, University of California, P.O. Box 808, Livermore, California 94550

Marvin L. Cohen

  • Department of Physics, University of California, Berkeley, California 94720 and Center for Advanced Materials, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720

J. M. Kosterlitz

  • Department of Physics, Brown University, Providence, Rhode Island 02912

Herbert Levine

  • Schlumberger-Doll Research, Schlumberger Technology Corporation, Ridgefield, Connecticut 06877

Stephen B. Libby

  • Department of Physics, Brown University, Providence, Rhode Island 02912

Adrianus M. M. Pruisken

  • Institute for Advanced Study, Princeton, New Jersey 08540

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