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Localization, Interaction, and Transport Phenomena pp 99–107Cite as

Anderson Transition and Nonlinear σ- Model

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 61))

Abstract

A particle (e.g. an electron) moving in a random one-particle potential may have localized and extended eigenstates depending on the energy of the particle. The energy Ec which separates the localized states from the extended states is called the mobility edge. Extended states can carry a direct current whereas localized states are bound to a certain region and can move only with the assistance of other mechanisms (e.g. phonon-assisted hopping). Thus the residual conductivity is expected to vanish for Fermi energies E in the region of localized states, and to be nonzero for E in the region of extended states. This transition from an insulating behaviour to a metallic one is called Anderson transition.

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Ruprecht-Karl-Universität, D-6900, Heidelberg, Fed. Rep. of Germany

    Franz Wegner

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  1. Franz Wegner
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Editor information

Editors and Affiliations

  1. Physikalisch-Technische Bundesanstalt Braunschweig, Postfach 3345, D-3300, Braunschweig, Fed. Rep. of Germany

    Bernhard Kramer

  2. Kernforschungsanlage Jülich, Institut für Festkörperforschung, Postfach 1913, D-5170, Jülich, Fed. Rep. of Germany

    Gerd Bergmann

  3. Laboratorium voor Vaste Stof-Fysika en Magnetisme, Celestijnenlaan 200 D, B-3030, Leuven, Belgium

    Yvan Bruynseraede

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© 1985 Springer-Verlag Berlin Heidelberg

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Wegner, F. (1985). Anderson Transition and Nonlinear σ- Model. In: Kramer, B., Bergmann, G., Bruynseraede, Y. (eds) Localization, Interaction, and Transport Phenomena. Springer Series in Solid-State Sciences, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82516-3_10

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  • DOI: https://doi.org/10.1007/978-3-642-82516-3_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82518-7

  • Online ISBN: 978-3-642-82516-3

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