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Example for the stability of band edges of extended states for the quantum Hall Hamiltonian on a finite cylinder

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Zeitschrift für Physik B Condensed Matter

Abstract

Levinson's theorem has been used to shown current compensation for the integer quantum Hall effect. We verify for a model of a finite number of point impurities implanted on a cylinder geometry, that the assumption for the applicability of the Levinson theorem is fulfilled.

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Authors and Affiliations

  1. Physikalisch-Technische Bundesanstalt, Bundesalle 100, D-3300, Braunschweig, Germany

    U. Gummich

  2. Institut für Theoretische Physik, Universität zu Köln, Zülpicherstrasse 77, D-500, Köln 41, Germany

    M. Janßen

Authors
  1. U. Gummich
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  2. M. Janßen
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Gummich, U., Janßen, M. Example for the stability of band edges of extended states for the quantum Hall Hamiltonian on a finite cylinder. Z. Physik B - Condensed Matter 79, 347–349 (1990). https://doi.org/10.1007/BF01437643

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  • DOI: https://doi.org/10.1007/BF01437643

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