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:	https://journals.aps.org/prl
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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