Exact Multifractality for Disordered N-Flavour Dirac Fermions in Two Dimensions

Details Exact Multifractality for Disordered N-Flavour Dirac Fermions in Two Dimensions Exact Multifractality for Disordered N-Flavour Dirac Fermions in Two Dimensions

1998-04-14

arxiv.org/abs/cond-mat/9804133v1

Phys.Rev.Lett. 81 (1998) 4196-4199

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, no figues

Scientific paper

10.1103/PhysRevLett.81.4196

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.

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