Griffiths phase in the thermal quantum Hall effect

• Published in: Physical Review B
• Main Authors: Mildenberger, A., Evers, Ferdinand, Narayanan, R., Mirlin, A. D., Damle, K.
• Format: Article in Journal/Newspaper
• Language: English
• Published: American Physical Society (APS) 2006
• Subjects: 530 Physik; ddc:530; IPY
• Online Access: https://epub.uni-regensburg.de/46225/; https://epub.uni-regensburg.de/46225/1/PhysRevB.73.121301.pdf; https://doi.org/10.1103/PhysRevB.73.121301

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 nonuniversal exponent z>1, due to the effects of rare configurations of disorder (Griffiths phase).