Non-Abelian anyons: when Ising meets Fibonacci.
We consider an interface between two non-Abelian quantum Hall states: the Moore-Read state, supporting Ising anyons, and the k=2 non-Abelian spin-singlet state, supporting Fibonacci anyons. It is shown that the interface supports neutral excitations described by a (1+1)-dimensional conformal field theory with a central charge c=7/10. We discuss effects of the mismatch of the quantum statistical properties of the quasiholes between the two sides, as reflected by the interface theory.
Department of Physics, University of Illinois, 1110 West Green Street, Urbana Illinois 61801-3080, USA.
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Grosfeld
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Schoutens