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Published August 10, 2007 | public
Journal Article Open

Non-Abelian Anyon Superconductivity

Abstract

Non-Abelian anyons exist in certain spin models and may exist in quantum Hall systems at certain filling fractions. In this work, we studied the ground state of dynamical SU(2) level-kappa Chern-Simons non-Abelian anyons at finite density and no external magnetic field. We find that, in the large-kappa limit, the topological interaction induces a pairing instability and the ground state is a superconductor with d+id gap symmetry. We also develop a picture of pairing for the special value kappa=2 and argue that the ground state is a superfluid of pairs for all values of kappa.

Additional Information

©2007 The American Physical Society (Received 15 March 2007; published 7 August 2007) We thank P. Bonderson, E. Demler, and K. Shtengel for helpful comments and discussions. This work has been supported by the NSF under Grant No. DMR-0411800 and the ARO under Grant No. W911NF-04-1-0236.

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