Skip to main content
Kent Academic Repository

Competing Topological Orders in the ?=12/5 Quantum Hall State

Bonderson, Parsa, Feiguin, Adrian E, Möller, Gunnar, Slingerland, J K (2012) Competing Topological Orders in the ?=12/5 Quantum Hall State. Physical Review Letters, 108 (3). 036806. ISSN 0031-9007. E-ISSN 1079-7114. (doi:10.1103/PhysRevLett.108.036806) (KAR id:55561)


We provide numerical evidence that a p_x-i p_y paired Bonderson-Slingerland (BS) non-Abelian hierarchy state is a strong candidate for the observed ? =12/5 quantum Hall plateau. We confirm the existence of a gapped incompressible ?=12/5 quantum Hall state with shift S = 2 on the sphere, matching that of the BS state. The exact ground state of the Coulomb interaction at S = 2 is shown to have a large overlap with the BS trial wave function. Larger overlaps are obtained with BS-type wave functions that are hierarchical descendants of general p_x - i p_y weakly paired states at ?=12/5. We perform a finite-size scaling analysis of the ground-state energies for ?=12/5 states at shifts corresponding to the BS (S = 2) and 3-clustered Read-Rezayi (S = -2) universality classes. This analysis reveals very tight competition between these two non-Abelian topological orders.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevLett.108.036806
Uncontrolled keywords: Physics of Quantum Materials
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Depositing User: Gunnar Moeller
Date Deposited: 25 Sep 2017 13:52 UTC
Last Modified: 16 Nov 2021 10:23 UTC
Resource URI: (The current URI for this page, for reference purposes)

University of Kent Author Information

  • Depositors only (login required):

Total unique views for this document in KAR since July 2020. For more details click on the image.