Exact relations between multifractal exponents at the Anderson transition
Mesoscale and Nanoscale Physics
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
Two exact relations between mutlifractal exponents are shown to hold at the critical point of the Anderson localization transition. The first relation implies a symmetry of the multifractal spectrum linking the multifractal exponents with indices to those with . The second relation connects the wave function multifractality to that of Wigner delay times in a system with a lead attached.
Cite
@article{arxiv.cond-mat/0603378,
title = {Exact relations between multifractal exponents at the Anderson transition},
author = {A. D. Mirlin and Y. V. Fyodorov and A. Mildenberger and F. Evers},
journal= {arXiv preprint arXiv:cond-mat/0603378},
year = {2007}
}
Comments
4 pages, 3 figures