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Non-Abelian anyons: when Ising meets Fibonacci · Around

2008

Non-Abelian anyons: when Ising meets Fibonacci

Grosfeld, Eytan, Schoutens, Kareljan

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We consider an interface between two non-Abelian quantum Hall states: the Moore-Read state, supporting anyons of Ising type, and the k=2 NASS (non-Abelian spin-singlet) state, supporting anyons of Fibonacci type.

It is shown that the interface supports neutral excitations described by a 1+1 dimensional conformal field theory with central charge c=7/10.
We discuss effects of the mismatch of the quantum statistical properties of the quasi-holes between the two sides, as reflected by the interface theory.

Built on

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P. D. Francesco, P. Mathieu, and D. Sénéchal, Conformal Field Theory (Springer - Verlag New York Inc., 1997)
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E. Ardonne and K. Schoutens, Phys. Rev. Lett. 82
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E. Ardonne, N. Read, E. Rezayi, and K. Schoutens, Nuclear Physics B 607
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