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Self-consistent theory of localization for the Anderson model

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Zeitschrift für Physik B Condensed Matter

Abstract

The self-consistent theory of electron localization in a random system in the form proposed by Vollhardt and Wölfle is generalized for the analysis of localization in the Anderson model. We derive the general equations appropriate for the system with rather general form of the electronic spectrum. Explicit calculations are restricted to the lattices of cubic symmetry and use the effective mass approximation to obtain the final results. Anderson's critical ratio for the localization of all the electronic states in the tight-binding band is evaluated and found to be in surprisingly good agreement with the results of numerical analysis of localization in the Anderson model.

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Author notes

  1. M. V. Sadovskii

    Present address: Institute for Metal Physics, Ural Scientific Research Center, USSR Academy of Sciences, 620219, Sverdlovsk, USSR

Authors and Affiliations

  1. Complex Research Institute, Far-Eastern Scientific Research Center, USSR Academy of Sciences, Blagovestschensk, USSR

    E. A. Kotov

  2. Universität Ulm, Federal Republic of Germany

    M. V. Sadovskii

Authors
  1. E. A. Kotov
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  2. M. V. Sadovskii
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Kotov, E.A., Sadovskii, M.V. Self-consistent theory of localization for the Anderson model. Z. Physik B - Condensed Matter 51, 17–23 (1983). https://doi.org/10.1007/BF01304039

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  • DOI: https://doi.org/10.1007/BF01304039

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