Composite Fermions in a Long-Range Random Magnetic Field: Quantum Hall Effect versus Shubnikov–de Haas Oscillations

A. D. Mirlin, D. G. Polyakov, and P. Wölfle
Phys. Rev. Lett. 80, 2429 – Published 16 March 1998
PDFExport Citation

Abstract

We study transport in a smooth random magnetic field, with emphasis on composite fermions (CFs) near half-filling of the Landau level. When either the amplitude of the magnetic field fluctuations or its mean value B¯ is large enough, the transport is percolating in nature. While at B¯=0 the percolation enhances the conductivity σxx, increasing B¯ leads to a sharp falloff of σxx and, consequently, to the quantum localization of CFs. We show that the localization is a crucial factor in the interplay between the Shubnikov–de Haas and quantum Hall oscillations and that the latter are dominant in the CF metal.

  • Received 14 October 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.2429

©1998 American Physical Society

Authors & Affiliations

A. D. Mirlin1,*, D. G. Polyakov2,†, and P. Wölfle1

  • 1Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • 2Institut für Theoretische Physik, Universität zu Köln, 50937 Köln, Germany

  • *Also at St. Petersburg Nuclear Physics Institute, 188350 St. Petersburg, Russia.
  • Also at A. F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia.

References (Subscription Required)

Click to Expand
Issue

Vol. 80, Iss. 11 — 16 March 1998

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×