The Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid

Details The Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid The Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid

2010-10-23

arxiv.org/abs/1010.4908v1

Phys.Rev.Lett.106:236801,2011

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.106.236801

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 system 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.

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