Exact Multifractality for Disordered N-Flavour Dirac Fermions in Two Dimensions
Disordered Systems and Neural Networks
2009-10-31 v1 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Abstract
We present a nonperturbative calculation of all multifractal scaling exponents at strong disorder for critical wavefunctions of Dirac fermions interacting with a non-Abelian random vector potential in two dimensions. The results, valid for an arbitrary number of fermionic flavours, are obtained by deriving from Conformal Field Theory an effective Gaussian model for the wavefunction amplitudes and mapping to the thermodynamics of a single particle in a random potential. Our spectrum confirms that the wavefunctions remain delocalized in the presence of strong disorder.
Keywords
Cite
@article{arxiv.cond-mat/9804133,
title = {Exact Multifractality for Disordered N-Flavour Dirac Fermions in Two Dimensions},
author = {Jean-Sebastien Caux},
journal= {arXiv preprint arXiv:cond-mat/9804133},
year = {2009}
}
Comments
4 pages, no figues