Phase diagram of the $\mathbb{Z}_3$-Fock parafermion chain with pair hopping

Iman Mahyaeh, Jurriaan Wouters, Dirk Schuricht

SciPost Phys. Core 3, 011 (2020) · published 12 November 2020


We study a tight binding model of $\mathbb{Z}_3$-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.

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