Theory of Shubnikov–de Haas oscillations around the ν=1/2 filling factor of the Landau level: Effect of gauge-field fluctuations

A. G. Aronov, E. Altshuler, A. D. Mirlin, and P. Wölfle
Phys. Rev. B 52, 4708 – Published 15 August 1995
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Abstract

We present a theory of magneto-oscillations around the ν=1/2 Landau level filling factor based on a model with a fluctuating Chern-Simons field. The quasiclassical treatment of the problem is appropriate and leads to an unconventional exp[-(π/ωcτ1/2*)4] behavior of the amplitude of oscillations. This result is in good qualitative agreement with available experimental data, although the experimental value of τ1/2* exceeds considerably our theoretical estimate.

  • Received 11 May 1995

DOI:https://doi.org/10.1103/PhysRevB.52.4708

©1995 American Physical Society

Authors & Affiliations

A. G. Aronov

  • Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • Department of Condensed Matter Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel
  • A.E. Physicotechnical Institute, 194021 St. Petersburg, Russia

E. Altshuler

  • Department of Condensed Matter Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel

A. D. Mirlin

  • Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • Petersburg Nuclear Physics Institute, 188350 Gatchina, St. Petersburg, Russia

P. Wölfle

  • Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany

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Vol. 52, Iss. 7 — 15 August 1995

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