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Fractional Quantum Hall States with Non-Abelian Statistics

Möller, Gunnar, Wójs, Arkadiusz, Cooper, Nigel R (2009) Fractional Quantum Hall States with Non-Abelian Statistics. In: Acta Physical Polonica A. Proceedings of the XXXVIII International School and Conference on the Physics of Semiconductors “Jaszowiec” 2009. 116. pp. 847-848. Polish Academy of Sciences (doi:10.12693/APhysPolA.116.847) (KAR id:55569)


Using exact numerical diagonalization we have studied correlated many-electron ground states in a partially filled second Landau level. We consider filling fractions ? = 1/2 and 2/5, for which incompressible quantum liquids with non-Abelian anion statistics have been proposed. Our calculations include finite layer width, Landau level mixing and arbitrary deformation of the interaction pseudopotential. Computed energies, gaps, and correlation functions support the non-Abelian ground states at both ? = 1/2 (“Pfaffian”) and ? = 2/5 (“parafermion” state).

Item Type: Conference or workshop item (Paper)
DOI/Identification number: 10.12693/APhysPolA.116.847
Uncontrolled keywords: Physics of Quantum Materials
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Depositing User: Gunnar Moeller
Date Deposited: 11 Dec 2017 13:29 UTC
Last Modified: 16 Nov 2021 10:23 UTC
Resource URI: (The current URI for this page, for reference purposes)

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