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Topological Phases of Parafermions: A Model with Exactly Solvable Ground States
Fernando Iemini1,2, Christophe Mora3, Leonardo Mazza4
1ICTP, Strada Costiera 11, I-34151 Trieste, Italy.
Abstract:
Parafermions are emergent excitations that generalize Majorana fermions and can also realize topological order. In this Letter, we present a nontrivial 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 in terms of Fock parafermions, reflecting the factorized nature of the ground states. Using these wave functions, we demonstrate analytically several signatures of topological order. Our study provides a starting point for the nonapproximate study of topological one-dimensional parafermionic chains with spatial inversion and time-reversal symmetry in the absence of strong edge modes.
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