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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.

Keywords

Spectroscopy Neural Network State Physics Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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