Fractional Quantum Hall States at nu=13/5 and 12/5 and Their Non-Abelian Nature
Author(s): Zhu, W; Gong, SS; Haldane, Frederick D; Sheng, DN
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Full metadata record
DC Field | Value | Language |
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dc.contributor.author | Zhu, W | - |
dc.contributor.author | Gong, SS | - |
dc.contributor.author | Haldane, Frederick D | - |
dc.contributor.author | Sheng, DN | - |
dc.date.accessioned | 2017-11-21T19:38:58Z | - |
dc.date.available | 2017-11-21T19:38:58Z | - |
dc.date.issued | 2015-09-18 | en_US |
dc.identifier.citation | Zhu, W, Gong, SS, Haldane, FDM, Sheng, DN. (2015). Fractional Quantum Hall States at nu=13/5 and 12/5 and Their Non-Abelian Nature. PHYSICAL REVIEW LETTERS, 115 (10.1103/PhysRevLett.115.126805 | en_US |
dc.identifier.issn | 0031-9007 | - |
dc.identifier.uri | http://arks.princeton.edu/ark:/88435/pr15q0d | - |
dc.description.abstract | Topological quantum states with non-Abelian Fibonacci anyonic excitations are widely sought after for the exotic fundamental physics they would exhibit, and for universal quantum computing applications. The fractional quantum Hall (FQH) state at a filling factor of nu = 12/5 is a promising candidate; however, its precise nature is still under debate and no consensus has been achieved so far. Here, we investigate the nature of the FQH nu = 13/5 state and its particle-hole conjugate state at 12/5 with the Coulomb interaction, and we address the issue of possible competing states. Based on a large-scale density-matrix renormalization group calculation in spherical geometry, we present evidence that the essential physics of the Coulomb ground state (GS) at nu = 13/5 and 12/5 is captured by the k = 3 parafermion Read-Rezayi state (RR 3), including a robust excitation gap and the topological fingerprint from the entanglement spectrum and topological entanglement entropy. Furthermore, by considering the infinite-cylinder geometry (topologically equivalent to torus geometry), we expose the non-Abelian GS sector corresponding to a Fibonacci anyonic quasiparticle, which serves as a signature of the RR3 state at 13/5 and 12/5 filling numbers. | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | PHYSICAL REVIEW LETTERS | en_US |
dc.rights | Final published version. This is an open access article. | en_US |
dc.title | Fractional Quantum Hall States at nu=13/5 and 12/5 and Their Non-Abelian Nature | en_US |
dc.type | Journal Article | en_US |
dc.identifier.doi | doi:10.1103/PhysRevLett.115.126805 | - |
dc.date.eissued | 2015-09-18 | en_US |
dc.identifier.eissn | 1079-7114 | - |
pu.type.symplectic | http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article | en_US |
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