Energetics of the PH-Pfaffian state and the 5/2-fractional quantum Hall effect

Bibliographic Details
Title: Energetics of the PH-Pfaffian state and the 5/2-fractional quantum Hall effect
Authors: Rezayi, Edward H., Pakrouski, Kiryl, Haldane, F. D. M.
Publication Year: 2021
Collection: Condensed Matter
Subject Terms: Condensed Matter - Mesoscale and Nanoscale Physics
More Details: We present a method for the exact construction of the fully particle-hole symmetric 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 5/2-effect.
Document Type: Working Paper
DOI: 10.1103/PhysRevB.104.L081407
Access URL: http://arxiv.org/abs/2103.12026
Accession Number: edsarx.2103.12026
Database: arXiv
More Details
DOI:10.1103/PhysRevB.104.L081407