Multifractal statistics of eigenstates of 2D disordered conductors
Abstract
We have studied the manifestation of prelocalized states in the distribution of local amplitudes of wave functions of a 2D disordered metal. Although the distribution of comparatively small amplitudes obeys the universal laws known from the random matrix theory, its largeamplitude tails are nonuniversal and have a logarithmicallynormal dependence. The inverse participation numbers calculated on the basis of the exact form of the distribution function in the weak localization regime indicate multifractal behavior. Our calculation is based on the derivation of the nontrivial saddlepoint of the reduced supersymmetric σmodel.
 Publication:

Surface Science
 Pub Date:
 July 1996
 DOI:
 10.1016/00396028(96)005225
 Bibcode:
 1996SurSc.361..735F