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Conductivity peaks broadening in the quantum Hall regime

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  • Polyakov, D.G.
  • Shklovskii, B.I.

Abstract

We argue that it is the hopping transport that is responsible for broadening of the σxx peaks. Explicit expressions for the width Δν of a peak as a function of the temperature T, current J and frequency ω are found. It is shown that Δν grows with T as (T/T1)κ, where κ is the inverse localization-length exponent. The current J is shown to act like the effective temperature Teff(J) ∝ J12 if Teff(J)T. Broadening of the ohmic ac-conductivity peaks with frequency ω is found to be determined by the effective temperature Teff(ω)∼h̵ω.

Suggested Citation

  • Polyakov, D.G. & Shklovskii, B.I., 1993. "Conductivity peaks broadening in the quantum Hall regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 476-482.
    • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:476-482
    DOI: 10.1016/0378-4371(93)90549-J
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    1. Pruisken, A.M.M., 1992. "Some properties of Anderson localization near two dimensions and in weak magnetic fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 181(1), pages 1-22.
    2. Morse, D.L. & Pickard, L.K. & Guzewich, J.J. & Devine, B.D. & Shayegani, M., 1990. "Garlic-in-oil associated botulism: Episode leads to product modification," American Journal of Public Health, American Public Health Association, vol. 80(11), pages 1372-1373.
    3. Richter, Wolfram F. & Weimann, Joachim, 1987. "Kinderjahre: Ein Vorschlag zur Rentereform," Wirtschaftsdienst – Zeitschrift für Wirtschaftspolitik (1949 - 2007), ZBW - Leibniz Information Centre for Economics, vol. 67(5), pages 260-262.
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    Cited by:

    1. Klitzing, K.v., 1993. "Magnetotransport in semiconductor nanostructures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 1-3.

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