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We investigate numerically the quasiparticle density of states $\varrho(E)$for a two-dimensional, disordered superconductor in which both time-reversaland spin-rotation symmetry are broken. As a generic single-particle descriptionof this class of systems (symmetry class D), we use the Cho-Fisher version ofthe network model. This has three phases: a thermal insulator, a thermal metal,and a quantized thermal Hall conductor. In the thermal metal we find alogarithmic divergence in $\varrho(E)$ as $E\to 0$, as predicted from sigmamodel calculations. Finite size effects lead to superimposed oscillations, asexpected from random matrix theory. In the thermal insulator and quantizedthermal Hall conductor, we find that $\varrho(E)$ is finite at E=0. At theplateau transition between these phases, $\varrho(E)$ decreases towards zero as$|E|$ is reduced, in line with the result $\varrho(E) \sim |E|\ln(1/|E|)$derived from calculations for Dirac fermions with random mass.Comment: 8 pages, 8 figures, published versio

physical review b

Density of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class-D thermal quantum Hall effect