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.

中文翻译：

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具有配对跳的$ \ mathbb {Z} _3 $ -Fock parafermion链的相图

我们研究了具有单粒子和成对跳变项的$ \ mathbb {Z} _3 $ -Fock parafermions的紧密绑定模型。该相图具有四个不同的阶段：带隙阶段，具有中心电荷$ c = 2 $的无间隙阶段和具有中心电荷$ c = 1 $的两个无间隙阶段。我们通过分析能隙，纠缠熵和不同的相关函数来表征每个阶段。数值模拟辅以分析论证。