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Inverse participation ratio in 2+ε dimensions

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Zeitschrift für Physik B Condensed Matter

Abstract

The averaged moments of the eigenfunctions (including the inverse participation ratio) of a particle in a random potential are considered near the mobility edge. The exponents of the power laws are given in anε-expansion in one-loop order for ad=2+ε dimensional system. The calculation is based on a recent formulation of the mobility edge problem which maps it onto a model of interacting matrices.

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References

  1. Thouless, D.J.: Phys. Rep.13 C, 93 (1974)

    Google Scholar 

  2. Wegner, F.: Z. Physik B35, 207 (1979)

    Google Scholar 

  3. Bell, R.J., Dean, P.: Discuss. Faraday Soc.50, 55 (1970)

    Google Scholar 

  4. Bell, R.J.: Rep. Prog. Phys.35, 1315 (1972)

    Google Scholar 

  5. Last, B.J., Thouless, D.J.: J. Phys. C7, 715 (1974)

    Google Scholar 

  6. Economou, E.N., Cohen, M.H.: Phys. Rev. Lett.25, 1445 (1970)

    Google Scholar 

  7. Oppermann, R., Wegner, F.: Z. Physik B34, 327 (1979)

    Google Scholar 

  8. Wegner, F.J.: Z. Physik B25, 327 (1976)

    Google Scholar 

  9. Wegner, F.J.: Phys. Rev. B5, 4529 (1972)

    Google Scholar 

  10. Brézin, E., Itzykson, C., Zinn-Justin, J., Zuber, J.-B.: Phys. Lett.82 B, 442 (1979)

    Google Scholar 

  11. Brézin, E., Zinn-Justin, J.: Phys. Rev. Lett.36, 691 (1976)

    Google Scholar 

  12. Brézin, E., Zinn-Justin, J.: Phys. Rev. B14, 3110 (1976)

    Google Scholar 

  13. Brézin, E., Zinn-Justin, J., LeGuillou, J.C.: Phys. Rev. B14, 4976 (1976)

    Google Scholar 

  14. Hamermesh, M.: Group theory. London: Plenum 1962

    Google Scholar 

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Abt. Vielteilchenphysik Philosophenweg 19, D-6900, Heidelberg 1, Germany

    F. Wegner

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  1. F. Wegner
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Additional information

Work supported in part by the Sonderforschungsbereich 123 (Stochastic Mathematic Models) of the Deutsche Forschungsgemeinschaft

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Wegner, F. Inverse participation ratio in 2+ε dimensions. Z Physik B 36, 209–214 (1980). https://doi.org/10.1007/BF01325284

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  • DOI: https://doi.org/10.1007/BF01325284

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