- Physical Review Journals
All JournalsPhysics Magazine

Physical Review B

Export citation

Export citation

Choose format for download:

Download Citation
  • Editors' Suggestion
  • Letter

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

Edward H. Rezayi1, Kiryl Pakrouski2, and F. D. M. Haldane2

  • 1Department of Physics, California State University Los Angeles, Los Angeles, California 90032, USA
  • 2Department of Physics, Princeton University, Princeton, New Jersey 08544, USA

PDF

Phys. Rev. B 104, L081407 – Published 23 August, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L081407

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.

View figure in article

Physics Subject Headings (PhySH)

Authorization Required

We need you to provide your credentials before accessing this content.
Article Available via CHORUS
Download Accepted Manuscript

Other Options

References (Subscription Required)

Outline

Information

Phys. Rev. B 104, L081407– Published 23 August, 2021
  • Received 24 June 2021
  • Revised 5 August 2021
  • Accepted 6 August 2021
Crossmark - Check for updates button

©2021 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation