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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)

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http://dx.doi.org/10.1103/PhysRevLett.108.036806

Abstract

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: Faculties > Sciences > School of Physical Sciences
Faculties > Sciences > School of Physical Sciences > Functional Materials Group
Depositing User: Gunnar Moller
Date Deposited: 25 Sep 2017 13:52 UTC
Last Modified: 05 Jul 2019 10:09 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/55561 (The current URI for this page, for reference purposes)
Möller, Gunnar: https://orcid.org/0000-0001-8986-0899
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