English

Griffiths phase in the thermal quantum Hall effect

Mesoscale and Nanoscale Physics 2009-11-11 v1 Disordered Systems and Neural Networks

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, \rho(E)\sim |E|^{1/z-1}, with a non-universal exponent z>1z>1, due to the effects of rare configurations of disorder (``Griffiths phase'').

Keywords

Cite

@article{arxiv.cond-mat/0503679,
  title  = {Griffiths phase in the thermal quantum Hall effect},
  author = {A. Mildenberger and F. Evers and R. Narayanan and A. D. Mirlin and K. Damle},
  journal= {arXiv preprint arXiv:cond-mat/0503679},
  year   = {2009}
}

Comments

4+ pages, 5 figures