Weakly coupled pfaffian as a type i quantum hall liquid

S. A. Parameswaran, S. A. Kivelson, Shivaji Lal Sondhi, B. Z. Spivak

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

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.

Original languageEnglish (US)
Article number236801
JournalPhysical review letters
Volume106
Issue number23
DOIs
StatePublished - Jun 6 2011

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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