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Anomaly in the band centre of the one-dimensional Anderson model

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Zeitschrift für Physik B Condensed Matter

Abstract

We calculate the density of states and various characteristic lengths of the one-dimensional Anderson model in the limit of weak disorder. All these quantities show anomalous fluctuations near the band centre. This has already been observed for the density of states in a different model by Gorkov and Dorokhov, and is in close agreement with a Monte-Carlo calculation for the localization length by Czycholl, Kramer and Mac-Kinnon.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Ruprecht-Karls-Universität, Philosophenweg 19, D-6900, Heidelberg, Federal Republic of Germany

    M. Kappus & F. Wegner

Authors
  1. M. Kappus
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  2. F. Wegner
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Additional information

Based in part on the Staatsexamens-thesis by M.K., April 1981. Supported in part by the Sonderforschungsbereich 123 “Stochastic Mathematical Models” of the Deutsche Forschungsgemeinschaft

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Kappus, M., Wegner, F. Anomaly in the band centre of the one-dimensional Anderson model. Z. Physik B - Condensed Matter 45, 15–21 (1981). https://doi.org/10.1007/BF01294272

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  • DOI: https://doi.org/10.1007/BF01294272

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