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Scattering approach to the von Klitzing effect

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Zeitschrift für Physik B Condensed Matter

Abstract

Earlier results of the scattering theoretical approach to the quantum Hall effect are simplified and generalized. Finite size corrections to the plateau values are found to be not of order (l/L x ) but (l 2 /L x L y )2,l,L x ,L y being the magnetic length, and the sample dimensions inx andy-direction respectively. An expression for the current parallel to the electric field in terms of a scattering matrix is derived. In the weak scattering regime this expression leads to a vanishing diagonal conductivity σ xx .

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Author notes

  1. K. Wysokinski

    Present address: Institute of Physics, M. Curie-Skłodowska University, Lublin, Poland

Authors and Affiliations

  1. Physik-Department, Technische Universität München, James-Franck-Strasse, D-8046, Garching bei München, Federal Republic of Germany

    W. Brenig & K. Wysokinski

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  1. W. Brenig
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  2. K. Wysokinski
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Brenig, W., Wysokinski, K. Scattering approach to the von Klitzing effect. Z. Physik B - Condensed Matter 63, 149–154 (1986). https://doi.org/10.1007/BF01309231

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  • DOI: https://doi.org/10.1007/BF01309231

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