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Permutation-symmetric critical phases in disordered non-Abelian anyonic chains

Permutation-symmetric critical phases in disordered non-Abelian anyonic chains

Topological phases supporting non-abelian anyonic excitations have been proposed as candidates for topological quantum computation. In this paper, we study disordered non-abelian anyonic chains based on the quantum groups $SU(2)_k$, a hierarchy that includes the $\nu=5/2$ FQH state and the proposed $\nu=12/5$ Fibonacci state, among others. We find that for …