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Low-Frequency Response and Dissipationless Edge Currents in the Integral QHE

  • I. M. Grodnensky
  • D. Heitmann
  • K. von Klitzing
  • A. Yu. Kamaev
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 101)

Abstract

A novel dynamical response of a two-dimensional electron gas (2DEG) in a strong magnetic field B to an in-plane ac electric field has been observed at frequencies f which are smaller than the known characteristic frequencies. This response manifests itself by an increase of the electric field penetration in the sample and appears above a new characteristic frequency f E which depends on the conductivity σ xx and the sample size L. We shown that this effect arises from an induced edge potential in a 2DEG which spatial distribution is characterized by a length l E xx ,f). We have studied two different cases: (i) l E is of macroscopic scale and comparable with the sample size, (ii) l E is of microscopic scale. The first case occurs when ff E . In this case we find experimentally a proportionality which allows us to determine σ xx by measuring f E . The second case corresponds to high ff E . In this case the response exhibits an unusual behaviour which we interpret as a manifestation of dissipationless edge currents in macroscopic samples.

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References

  1. [1]
    V.A. Volkov, D.V. Galchenkov, L.A. Galchenkov, I.M. Grodnensky, O.R. Matov, and S.A. Mikhailov, JETP Lett. 44 (1986) 655.Google Scholar
  2. L.A. Galchenkov, I.M. Grodnensky, and A.Yu. Kamaev, Sov. Phys. Semicond. 21 (1987) 1330.Google Scholar
  3. I.M. Grodnensky, and A. Yu. Kamaev, Surf. Science 229 (1990) 522.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • I. M. Grodnensky
    • 1
  • D. Heitmann
    • 1
  • K. von Klitzing
    • 1
  • A. Yu. Kamaev
    • 2
  1. 1.Max-Planck-Institut für FestkörperforschungStuttgart 80Germany
  2. 2.Institute of Radioengineering and ElectronicsAcademy of Sciences of the USSRMoscow, GSP-3USSR

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