Zeitschrift für Physik B Condensed Matter

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

Inverse participation ratio in 2+ε dimensions

  • F. Wegner
Article

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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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

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

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