Zeitschrift für Physik B Condensed Matter

, Volume 36, Issue 3, pp 209–214 | Cite as

Inverse participation ratio in 2+ε dimensions

  • F. Wegner


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Thouless, D.J.: Phys. Rep.13 C, 93 (1974)Google Scholar
  2. 2.
    Wegner, F.: Z. Physik B35, 207 (1979)Google Scholar
  3. 3.
    Bell, R.J., Dean, P.: Discuss. Faraday Soc.50, 55 (1970)Google Scholar
  4. 4.
    Bell, R.J.: Rep. Prog. Phys.35, 1315 (1972)Google Scholar
  5. 5.
    Last, B.J., Thouless, D.J.: J. Phys. C7, 715 (1974)Google Scholar
  6. 6.
    Economou, E.N., Cohen, M.H.: Phys. Rev. Lett.25, 1445 (1970)Google Scholar
  7. 7.
    Oppermann, R., Wegner, F.: Z. Physik B34, 327 (1979)Google Scholar
  8. 8.
    Wegner, F.J.: Z. Physik B25, 327 (1976)Google Scholar
  9. 9.
    Wegner, F.J.: Phys. Rev. B5, 4529 (1972)Google Scholar
  10. 10.
    Brézin, E., Itzykson, C., Zinn-Justin, J., Zuber, J.-B.: Phys. Lett.82 B, 442 (1979)Google Scholar
  11. 11.
    Brézin, E., Zinn-Justin, J.: Phys. Rev. Lett.36, 691 (1976)Google Scholar
  12. 12.
    Brézin, E., Zinn-Justin, J.: Phys. Rev. B14, 3110 (1976)Google Scholar
  13. 13.
    Brézin, E., Zinn-Justin, J., LeGuillou, J.C.: Phys. Rev. B14, 4976 (1976)Google Scholar
  14. 14.
    Hamermesh, M.: Group theory. London: Plenum 1962Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • F. Wegner
    • 1
  1. 1.Institut für Theoretische PhysikUniversität HeidelbergHeidelberg 1Germany

Personalised recommendations