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Non-abelian topological phases and unconventional criticality in a model of interacting anyons


We  investigate a microscopic model whose degrees of freedom form  a class of non-abelian anyons, so-called Fibonacci anyons.
We find that  wide parts of the phase diagram are covered by non-abelian topological phases, and  reveal the  role of  topology in determining the essential properties of these phases. Furthermore, we observe  a phase transition between two distinct  topological phases.  Numerically, we establish that this critical point can be described by a conformal field theory with central charge c=14/15.