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Griffiths phase in the thermal quantum Hall effect

A. Mildenberger, F. Evers, R. Narayanan, A. D. Mirlin, K. Damle

cond-mat.mes-hallarXiv:cond-mat/0503679

Abstract

Two dimensional disordered superconductors with broken spin-rotation and time-reversal invariance, e.g. with px+ipy 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) |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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