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Phys. Rev. Lett. 102, 166805 (2009) [4 pages]

Conformal Field Theory Approach to Abelian and Non-Abelian Quantum Hall Quasielectrons

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T. H. Hansson1, M. Hermanns1, N. Regnault3, and S. Viefers1,2
1Department of Physics, Stockholm University, AlbaNova University Center, SE-106 91 Stockholm, Sweden
2Department of Physics, University of Oslo, Box 1048 Blindern, NO-0316 Oslo, Norway
3Laboratoire Pierre Aigrain, Departement de Physique, ENS, CNRS, 24 rue Lhomond, 75005 Paris, France

Received 8 October 2008; published 23 April 2009

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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.166805
DOI:
10.1103/PhysRevLett.102.166805
PACS:
73.43.−f, 11.25.Hf, 71.10.Pm