The 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 journalArticle

Abstract

The Pfaffian phase of electrons in the proximity of a half-filled Landau level is understood to be a pip 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, 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 Pfaffian states exemplify a general dichotomy between Type I and Type II quantum Hall fluids.

Original languageEnglish (US)
Pages (from-to)1937-1938
Number of pages2
JournalPhysica B: Condensed Matter
Volume407
Issue number11
DOIs
StatePublished - Jun 1 2012

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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