Multifractality: Generic Property of Eigenstates of 2D Disordered Metals
Abstract
The distribution function of local amplitudes of eigenstates of a twodimensional disordered metal is calculated. Although the distribution of comparatively small amplitudes is governed by laws similar to those known from the random matrix theory, its decay at larger amplitudes is nonuniversal and much slower. This leads to the multifractal behavior of inverse participation numbers at any disorder. From the formal point of view, the multifractality originates from nontrivial saddlepoint solutions of supersymmetric $\sigma$model used in calculations.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 December 1995
 DOI:
 10.1209/02955075/32/8/002
 arXiv:
 arXiv:condmat/9503096
 Bibcode:
 1995EL.....32..627F
 Keywords:

 Condensed Matter
 EPrint:
 4 twocolumn pages, no figures, submitted to PRL.