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arxiv: cond-mat/0503679 · v1 · submitted 2005-03-29 · ❄️ cond-mat.mes-hall · cond-mat.dis-nn

Griffiths phase in the thermal quantum Hall effect

classification ❄️ cond-mat.mes-hall cond-mat.dis-nn
keywords hallphasethermaleffectgriffithsquantumbrokencoefficient
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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, \rho(E)\sim |E|^{1/z-1}, with a non-universal exponent $z>1$, due to the effects of rare configurations of disorder (``Griffiths phase'').

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