Phase diagram of the Z3-Fock parafermion chain with pair hopping

Abstract

We study a tight binding model of Z3-Fock parafermions with single-particle and pair-hopping terms. The phase diagram has four different phases: a gapped phase, a gapless phase with central charge c=2, and two gapless phases with central charge c=1. We characterise each phase by analysing the energy gap, entanglement entropy and different correlation functions. The numerical simulations are complemented by analytical arguments.