Integrable model with parafermion zero energy modes.

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 Z(2) (Majorana) and Z(3) parafermions. I consider an integrable model of one-dimensional fermions where such a demonstration is possible for Z(N) parafermions with any N. The procedure is easily generalizable for more complicated symmetry groups.