Universal Critical Exponent in Class D Superconductors

Victor Kagalovsky; Demitry Nemirovsky

doi:10.1103/PhysRevLett.101.127001

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Universal Critical Exponent in Class D Superconductors

Victor Kagalovsky, Demitry Nemirovsky

DOI 10.1103/PhysRevLett.101.127001 · Physical Review Letters

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Abstract

We study a physical system consisting of noninteracting quasiparticles in disordered superconductors that have neither time-reversal nor spin-rotation invariance. This system belongs to class D within the recent classification scheme of random matrix ensembles, and its phase diagram contains three different phases: metallic and two distinct localized phases with different quantized thermal Hall conductances. We find that critical exponents describing different transitions (insulator-to-insulator and insulator-to-metal) are identical within the error of numerical calculations and also find that critical disorder of the insulator-to-metal transition is energy-independent.