EXACT MULTIFRACTALITY FOR DISORDERED N-FLAVOR DIRAC FERMIONS IN 2 DIMENSIONS

Authors
Citation
Js. Caux, EXACT MULTIFRACTALITY FOR DISORDERED N-FLAVOR DIRAC FERMIONS IN 2 DIMENSIONS, Physical review letters, 81(19), 1998, pp. 4196-4199
Citations number
34
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
81
Issue
19
Year of publication
1998
Pages
4196 - 4199
Database
ISI
SICI code
0031-9007(1998)81:19<4196:EMFDND>2.0.ZU;2-0
Abstract
We present a nonperturbative calculation of all multifractal scaling e xponents at strong disorder for critical wave functions of Dirac fermi ons interacting with a non-Abelian random vector potential in two dime nsions. The results, valid for an arbitrary number of fermionic flavor s, are obtained by deriving from conformal field theory an effective G aussian model for the wave function amplitudes and mapping it to the t hermodynamics of a single particle in a random potential. Our spectrum confirms that the wave functions remain delocalized in the presence o f strong disorder.