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Phys. Rev. Lett. 100, 177204 (2008) [4 pages]

Creation and Manipulation of Anyons in the Kitaev Model

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Sébastien Dusuel1,*, Kai Phillip Schmidt2,†, and Julien Vidal3,‡
1Lycée Louis Thuillier, 70 Boulevard de Saint Quentin, 80098 Amiens Cedex 3, France
2Lehrstuhl für theoretische Physik, Otto-Hahn-Straße 4, D-44221 Dortmund, Germany
3Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France

Received 4 February 2008; published 30 April 2008

We analyze the effect of local spin operators in the Kitaev model on the honeycomb lattice. We show, in perturbation around the isolated-dimer limit, that they create Abelian anyons together with fermionic excitations which are likely to play a role in experiments. We derive the explicit form of the operators creating and moving Abelian anyons without creating fermions and show that it involves multispin operations. Finally, the important experimental constraints stemming from our results are discussed.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.177204
DOI:
10.1103/PhysRevLett.100.177204
PACS:
75.10.Jm, 05.30.Pr

*sdusuel@gmail.com

schmidt@fkt.physik.uni-dortmund.de

vidal@lptmc.jussieu.fr