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Electron Localization

  • Wilhelm Brenig

Abstract

The discovery by Anderson [46.1] of the localization of electrons in sufficiently strong random potentials in 1958 inspired numerous investigations of disordered systems. The early development is reviewd by Mott and Davis [46.2]. Renormalization group and scaling arguments [46.3–5] were introduced into the theory and have led to scaling laws. Scaling functions were calculated in certain limiting cases using partial summations of the perturbation series, in particular including the backscattering effects discussed in Chap. 45 [46.5,6]. The results led to the conclusion that not only in one but also in two dimensions electrons are always localized in a random potential, regardless of its strength.

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References

References

  1. 46.1
    Anderson, P.W.: Phys. Rev. 109, 1492 (1958)ADSCrossRefGoogle Scholar
  2. 46.2
    Mott, N.F., Davis, E.A.: Electronic Processes in Non-Crystalline Materials ( Clarendon, Oxford 1979 )Google Scholar
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    Vollhardt, D., Wölfle, P.: Phys. Rev. Lett. 48,699 (1982); In Anderson Localization, ed. by Y. Nagaoka, H. Fukuyama, Springer Ser. Solid-State Sci., Vol. 39 (Springer, Berlin, Heidelberg 1982 ) p. 26ADSCrossRefGoogle Scholar

Additional Reading

  1. Belitz, D., Gold, A., Götze, W.: Z. Phys. B 44, 273 (1981)ADSCrossRefGoogle Scholar
  2. Hikami, S.: In Anderson Localization, ed. by Y. Nagaoka, H. Fukuyama, Springer Ser. Solid-State Sci., Vol. 39 ( Springer, Berlin, Heidelberg 1982 ) p. 15Google Scholar
  3. Prelovgek, P.: In Recent Developments in Condensed Matter Physics, Vol. E, ed. by J.T. Devreese (Plenum, New York 1981 )Google Scholar
  4. Prelovsek, P.: Phys. Rev. B 23, 1304 (1981)ADSCrossRefGoogle Scholar
  5. Vollhardt, D., Wölfle, P.: Phys. Rev. Lett. 45, 842 (1980)ADSCrossRefGoogle Scholar
  6. Vollhardt, D., Wölfle, P.: Phys. Rev. B 22, 4666 (1980)ADSCrossRefGoogle Scholar
  7. Wegner, F.: In Anderson Localization, ed. by Y. Nagaoka, H. Fukuyama, Springer Ser. Solid-State Sci., Vol. 39 ( Springer, Berlin, Heidelberg 1982 ) p. 8Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Wilhelm Brenig
    • 1
  1. 1.Physik-DepartmentTechnische Universität MünchenGarchingFed. Rep. of Germany

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