Density of states of disordered Dirac particles: Infinitely many operators with negative scaling dimensions and freezing transitions

Abstract

The global density of states (GDOS) close to the band center $\epsilon =0$ for a particle hopping on a square lattice and subjected to disorder that preserves the bipartite symmetry of the lattice is computed using field theoretical methods. The GDOS diverges like $|\epsilon {|}^{-1}\exp (-c|\ln \epsilon {|}^{\kappa })$ with $\kappa =2/3$ in agreement with a prediction by Motrunich \textit{et al.} and in disagreement with an older prediction by Gade ($\kappa =1/2$).

3 pages, ReVtex 4, Proceedings of Localization 2002

References in corpus (2)

• Particle-hole symmetric localization in two dimensions
• Singular Density of States of Disordered Dirac Fermions in the Chiral Models