Paired states at the edge

Kareljan Schoutens

University of Amsterdam, The Netherlands

We consider an interface (edge) of two paired quantum Hall states: a spin polarized state at filling 1/2 and a non-abelian spin singlet (NASS) state at filling 4/7. Quasi-holes over the Mooore-Read state act as non-abelian Ising anyons while the NASS state gives rise to Fibonacci anyons, with braiding properties that are universal for topological quantum computation. We show that the interface supports neutral excitations that are described by a conformal field theory of central charge c=7/10. We give several examples of scattering and fusion processes involving bulk and edge excitations.