Non-Abelian anyons: when Ising meets Fibonacci

Details Non-Abelian anyons: when Ising meets Fibonacci Non-Abelian anyons: when Ising meets Fibonacci

2008-10-13

arxiv.org/abs/0810.1955v2

Phys. Rev. Lett. 103, 076803 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

As published in PRL

Scientific paper

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.

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