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arxiv: 0806.2744 · v2 · submitted 2008-06-17 · ❄️ cond-mat.mes-hall

Universal critical exponent in class D superconductors

classification ❄️ cond-mat.mes-hall
keywords criticaldifferentclassfindinsulator-to-metalphasessuperconductorssystem
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We study a physical system consisting of non-interacting 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 (RME) 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.

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