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

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dc.creatorMildenberger, A.
dc.creatorEvers, F.
dc.creatorMirlin, A. D.
dc.creatorChalker, J. T.
dc.date2006-10-25
dc.date2007-06-20
dc.date.accessioned2026-07-07T08:11:10Z
dc.date.available2026-07-07T08:11:10Z
dc.descriptionWe investigate numerically the quasiparticle density of states $\varrho(E)$ for a two-dimensional, disordered superconductor in which both time-reversal and spin-rotation symmetry are broken. As a generic single-particle description of this class of systems (symmetry class D), we use the Cho-Fisher version of the network model. This has three phases: a thermal insulator, a thermal metal, and a quantized thermal Hall conductor. In the thermal metal we find a logarithmic divergence in $\varrho(E)$ as $E\to 0$, as predicted from sigma model calculations. Finite size effects lead to superimposed oscillations, as expected from random matrix theory. In the thermal insulator and quantized thermal Hall conductor, we find that $\varrho(E)$ is finite at E=0. At the plateau 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.
dc.description8 pages, 8 figures, published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0610700
dc.identifierhttp://arxiv.org/abs/cond-mat/0610700
dc.identifierPhys. Rev. B 75, 245321 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.245321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132040
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleDensity of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class D thermal quantum Hall effect
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