Unfinished bismuth
Nature Physics Springer Nature 8:1 (2012) 7-8
Weakly coupled Pfaffian as a type I quantum Hall liquid.
Physical review letters 106:23 (2011) 236801
Abstract:
The Pfaffian phase in the proximity of a half-filled Landau level is understood to be a p+ip superconductor of composite fermions. We consider the properties of this paired quantum Hall phase when the pairing energy is small, i.e., in the weak-coupling, BCS limit, where the coherence length is much larger than the charge screening length. We find that, as in a type I superconductor, vortices attract so that, upon varying the magnetic field from its magic value at ν=5/2, the system exhibits Coulomb frustrated phase separation. We propose that the weakly and strongly coupled Pfaffians exemplify a general dichotomy between type I and type II quantum Hall fluids.Renormalization group and the superconducting susceptibility of a Fermi liquid
Physical Review B American Physical Society (APS) 82:19 (2010) 195104
Nematic valley ordering in quantum Hall systems
Physical Review B American Physical Society (APS) 82:3 (2010) 035428
AKLT models with quantum spin glass ground states
Physical Review B American Physical Society (APS) 81:17 (2010) 174204