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.
Grosfeld
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Department of Physics, University of Illinois, 1110 West Green Street, Urbana Illinois 61801-3080, USA.
Schoutens
K
K