Stability of the particle-hole Pfaffian state and the 52-fractional quantum Hall effect

Edward H. Rezayi, Kiryl Pakrouski, F. D.M. Haldane

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We present a method for the exact construction of the fully particle-hole symmetric Pfaffian (PH-Pfaffian) ground state and its charged excitations on a sphere. We adopt the Moore-Read state, but with a nonholomorphic pairing component as in previous studies, and project it to the lowest Landau level. We study the energetics as well as other properties of these states and find that in a pure system interacting with the Coulomb forces the PH-Pfaffian cannot compete with either the Moore-Read state or its particle-hole conjugate, the anti-Pfaffian state, as an explanation for the 52 effect.

Original languageEnglish (US)
Article numberL081407
JournalPhysical Review B
Volume104
Issue number8
DOIs
StatePublished - Aug 15 2021

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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