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


    Bonderson, Parsa and Feiguin, Adrian E. and Moller, Gunnar and Slingerland, Joost (2012) Competing Topological Orders in the ν=12/5 Quantum Hall State. Physical Review Letters, 108 (036806). ISSN 1079-7114

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    Abstract

    We provide numerical evidence that a px−ipy paired Bonderson-Slingerland (BS) non-Abelian hierarchy state is a strong candidate for the observed ν=12/5 quantum Hall plateau. We confirm the existence of a gapped incompressible ν=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 px−ipy weakly paired states at ν=5/2. We perform a finite-size scaling analysis of the ground-state energies for ν=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
    Keywords: Competing Topological Orders; v=12/5 Quantum Hall State;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 10553
    Identification Number: https://doi.org/10.1103/PhysRevLett.108.036806
    Depositing User: Dr. Joost Slingerland
    Date Deposited: 21 Feb 2019 14:59
    Journal or Publication Title: Physical Review Letters
    Publisher: American Physical Society
    Refereed: Yes
    URI:

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