期刊
PHYSICAL REVIEW LETTERS
卷 115, 期 12, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.115.126805
关键词
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资金
- U.S. Department of Energy, Office of Basic Energy Sciences [DE-FG02-06ER46305, DE-SC0002140]
- National Science Foundation [DMR-1408560]
- W. M. Keck Foundation
- [MRSEC DMR-1420541]
- [PREM DMR-1205734]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1408560] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1205734] Funding Source: National Science Foundation
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.
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