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

Shinsei Ryu·Christopher Mudry·Akira Furusaki
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Abstract

The global density of states (GDOS) close to the band center $ε=0$ 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 $ |ε|^{-1}\exp (-c|\lnε|^κ ) $ with $κ=2/3$ in agreement with a prediction by Motrunich \textit{et al.} and in disagreement with an older prediction by Gade ($κ=1/2$).

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Shinsei Ryu, Christopher Mudry, Akira Furusaki. 2003-11-13. Density of states of disordered Dirac particles: Infinitely many operators with negative scaling dimensions and freezing transitions. https://doi.org/10.1143/jpsjs.72sa.219

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