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

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

2003-11-13

arxiv.org/abs/cond-mat/0311302v1

J. Phys. Soc. Japan. 72 Suppl. A, 219 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

3 pages, ReVtex 4, Proceedings of Localization 2002

Scientific paper

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 ($\kappa=1/2$).

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