An integrable model with parafermion zero energy modes

Abstract

Parafermion zero energy modes are a vital element of fault-tolerant topological quantum computation. Although it is believed that such modes form on the border between topological and normal phases, this has been demonstrated only for Z2 (Majorana) and Z3 parafermions. I consider an integrable model where such demonstration is possible for ZN parafermions with any N. The procedure is easely generalizable for more complicated symmetry groups.

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