钟对称非厄米二阶拓扑绝缘体中的拓扑仿费米子角态
Topological parafermion corner states in clock-symmetric non-Hermitian second-order topological insulator
摘要：
副费米子是马约拉纳费米子的自然推广。通过在复能量平面上引入$\mathbb{Z}_{3}$时钟对称性，我们考虑了具有复杂跳跃的呼吸Kagome晶格。它是二阶拓扑绝缘体的非厄米推广，其特征在于拓扑角态的出现。我们证明了在当前的$\mathbb{Z}_{3}$时钟对称模型中拓扑角态是parafermion。它也表明，该模型是实现在电路适当设计，其中的parafermion角态的阻抗共振观察。我们还分别在呼吸正方形和蜂窝格上构造了$\mathbb{Z}_{4}$和$\mathbb{Z}_{6}$仿费米子。
英文摘要：
Parafermions are a natural generalization of Majorana fermions. We consider a breathing Kagome lattice with complex hoppings by imposing $\mathbb{Z}_{3}$ clock symmetry in the complex energy plane. It is a non-Hermitian generalization of the second-order topological insulator characterized by the emergence of topological corner states. We demonstrate that the topological corner states are parafermions in the present $\mathbb{Z}_{3}$ clock-symmetric model. It is also shown that the model is realized in electric circuits properly designed, where the parafermion corner states are observed by impedance resonance. We also construct $\mathbb{Z}_{4}$ and $\mathbb{Z}_{6}$ parafermions on breathing square and honeycomb lattices, respectively.
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