Bonderson, Parsa, Feiguin, Adrian E., 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 |
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Keywords: | Competing Topological Orders; v=12/5 Quantum Hall State; |
Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
Item ID: | 10553 |
Identification Number: | 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 |
Related URLs: | |
URI: | https://mu.eprints-hosting.org/id/eprint/10553 |
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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