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Topological Phases of Parafermions: A Model with Exactly Solvable Ground States

Topological Phases of Parafermions: A Model with Exactly Solvable Ground States

Parafermions are emergent excitations that generalize Majorana fermions and can also realize topological order. In this paper we present a non-trivial and quasi-exactly-solvable model for a chain of parafermions in a topological phase. We compute and characterize the ground-state wave-functions, which are matrix-product states and have a particularly elegant interpretation …