Conformal field theory approach to Abelian and non-Abelian quantum Hall quasielectrons

The quasiparticles in quantum Hall liquids carry fractional charge and obey fractional quantum statistics. Of particular recent interest are those with non-Abelian statistics, since their braiding properties could, in principle, be used for robust coding of quantum information. There is already a go...

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Veröffentlicht in:Physical review letters 2009-04, Vol.102 (16), p.166805-166805, Article 166805
Hauptverfasser: Hansson, T H, Hermanns, M, Regnault, N, Viefers, S
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Sprache:eng
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Zusammenfassung:The quasiparticles in quantum Hall liquids carry fractional charge and obey fractional quantum statistics. Of particular recent interest are those with non-Abelian statistics, since their braiding properties could, in principle, be used for robust coding of quantum information. There is already a good theoretical understanding of quasiholes in both Abelian and non-Abelian quantum Hall states. Here we develop conformal field theory methods that allow for an equally precise description of quasielectrons and explicitly construct two- and four-quasielectron excitations of the non-Abelian Moore-Read state.
ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.102.166805