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Anderson Localization pp 54–61Cite as

Localization in One-Dimensional and Quasi-One-Dimensional Systems

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 39))

Abstract

The localisation length for disordered systems is calculated by a new recursive method using long strips or bars to describe 2-and 3-dimensional systems, respectively. By studying their behaviour as a function of cross-section, scaling relationships for localisation length and conductance are derived. The assumptions about the properties of the ß-function used in recent analytical work are confirmed.

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-6900, Heidelberg, Fed. Rep. of Germany

    A. MacKinnon

Authors
  1. A. MacKinnon
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Editor information

Editors and Affiliations

  1. Research Institute for Fundamental Physics Yukawa Hall, Kyoto University, Kyoto 606, Japan

    Yosuke Nagaoka Ph.D.

  2. Institute for Solid-State Physics, University of Tokyo, Minato-ku, Tokyo 106, Japan

    Hidetoshi Fukuyama Ph.D.

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© 1982 Springer-Verlag Berlin Heidelberg

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MacKinnon, A. (1982). Localization in One-Dimensional and Quasi-One-Dimensional Systems. In: Nagaoka, Y., Fukuyama, H. (eds) Anderson Localization. Springer Series in Solid-State Sciences, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81841-7_6

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  • DOI: https://doi.org/10.1007/978-3-642-81841-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81843-1

  • Online ISBN: 978-3-642-81841-7

  • eBook Packages: Springer Book Archive

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