Griffiths phase in the thermal quantum Hall effect

Abstract

Two dimensional disordered superconductors with broken spin-rotation and time-reversal invariance, e.g. with p_x+ip_y pairing, can exhibit plateaus in the thermal Hall coefficient (the thermal quantum Hall effect). Our numerical simulations show that the Hall insulating regions of the phase diagram can support a sub-phase where the quasiparticle density of states is divergent at zero energy, ρ(E)\sim |E|^{1/z-1}, with a non-universal exponent $z>1$, due to the effects of rare configurations of disorder (``Griffiths phase'').

4+ pages, 5 figures

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Cited by in corpus (12)

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• Localised zero-energy modes in the Kitaev model with vacancy-disorder
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• Chirality reversal at finite magnetic impurity strength and local signatures of a topological phase transition