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APS » Journals » Phys. Rev. Lett. » Volume 101 » Issue 6
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Phys. Rev. Lett. 101, 066803 (2008) [4 pages]

Bridge Between Abelian and Non-Abelian Fractional Quantum Hall States

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N. Regnault1, M. O. Goerbig2, and Th. Jolicoeur3
1Laboratoire Pierre Aigrain, Département de Physique, ENS, CNRS, 24 Rue Lhomond, F-75005 Paris, France
2Laboratoire de Physique des Solides, CNRS UMR 8502, Université Paris-Sud, F-91405 Orsay cedex, France
3Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, F-91405 Orsay cedex, France

Received 24 April 2008; published 6 August 2008

We propose a scheme to construct the most prominent Abelian and non-Abelian fractional quantum Hall states from K-component Halperin wave functions. In order to account for a one-component quantum Hall system, these SU(K) colors are distributed over all particles by an appropriate symmetrization. Numerical calculations corroborate the picture that K-component Halperin wave functions may be a common basis for both Abelian and non-Abelian trial wave functions in the study of one-component quantum Hall systems.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.066803
DOI:
10.1103/PhysRevLett.101.066803
PACS:
73.43.Nq, 71.10.Pm, 73.20.Qt
 
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