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Freezing transitions and the density of states of two-dimensional random Dirac Hamiltonians

Freezing transitions and the density of states of two-dimensional random Dirac Hamiltonians

Using an exact mapping to disordered Coulomb gases, we introduce a novel method to study two dimensional Dirac fermions with quenched disorder in two dimensions which allows to treat non perturbative freezing phenomena. For purely random gauge disorder it is known that the exact zero energy eigenstate exhibits a freezing-like …