Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid

S. A. Parameswaran, S. A. Kivelson, S. L. Sondhi, B. Z. Spivak
2011 Physical Review Letters  
The Pfaffian phase of electrons 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 scale 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, the vortices attract so that, upon varying the magnetic field from its magic value at \nu=5/2, the
more » ... tem exhibits Coulomb frustrated phase separation. We propose that the weakly and strongly coupled Pfaffian states exemplify a general dichotomy between Type I and Type II quantum Hall fluids.
doi:10.1103/physrevlett.106.236801 pmid:21770531 fatcat:zix3z43zzfaatc556y77ygxsum