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Simulation of two and three-dimensional disordered systems: Lifshitz tails and localization properties

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Zeitschrift für Physik B Condensed Matter

Abstract

Very large two and three-dimensional realizations of the Anderson model for localization are studied by solving the time-dependent Schrödinger equation. The density of states is calculated and Lifshitz tails extracted. Eigenstates at various energies are computed and analyzed. The localization length is determined as a function of the strength of the disorder and energy. For moderate disorder substantial deviations from results obtained by the strip-and-rod technique are found.

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Authors and Affiliations

  1. IBM Research Division, Zurich Research Laboratory, Rüschlikon, Switzerland

    Hans De Raedt

  2. Physics Department, University of Antwerp, Universiteitsplein 1, B-2610, Wilrijk, Belgium

    Hans De Raedt

  3. Natuurkundig Laboratorium, University of Amsterdam, Valckenierstraat 65, NL-1018 XE, Amsterdam, The Netherlands

    Hans De Raedt & Pedro de Vries

Authors
  1. Hans De Raedt
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  2. Pedro de Vries
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De Raedt, H., de Vries, P. Simulation of two and three-dimensional disordered systems: Lifshitz tails and localization properties. Z. Physik B - Condensed Matter 77, 243–251 (1989). https://doi.org/10.1007/BF01313668

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  • DOI: https://doi.org/10.1007/BF01313668

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