Higher-order topological phases in a spring-mass model on a breathing kagome lattice
Higher-order topological phases in a spring-mass model on a breathing kagome lattice
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DOI：
10.1103/physrevb.101.094107
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发表时间：
2019-09
影响因子：
3.7
通讯作者：
Hiromasa Wakao;Tsuneya Yoshida;Hiromu Araki;T. Mizoguchi;Y. Hatsugai
中科院分区：
文献类型：
--
作者：
Hiromasa Wakao;Tsuneya Yoshida;Hiromu Araki;T. Mizoguchi;Y. Hatsugai
我们提出了一个实现高阶拓扑相位的弹簧质量模型与呼吸kagome结构。为了证明高阶拓扑相的存在，我们描述了拓扑性质，并表明角状态下出现固定的边界条件。为了描述拓扑性质，我们引入了布里渊区$\mathbb{Z}_3$ Berry相位的计算公式。从这个$\mathbb{Z}_3$ Berry相的数值结果，我们已经阐明，纵向和横向模式之间的耦合产生的状态，其特征在于我们的机械呼吸kagome模型的Berry相$\frac{2\pi}{3}$。此外，我们建议可以通过强迫振动实验检测角态。
We propose a realization of higher-order topological phases in a spring-mass model with a breathing kagome structure. To demonstrate the existence of the higher-order topological phases, we characterize the topological properties and show that the corner states appear under the fixed boundary condition. To characterize the topological properties, we introduce a formula for the $\mathbb{Z}_3$ Berry phases in the Brillouin zone. From the numerical result of this $\mathbb{Z}_3$ Berry phase, we have elucidated that coupling between the longitudinal and transverse modes yields a state characterized by the Berry phase $\frac{2\pi}{3}$ for our mechanical breathing kagome model. In addition, we suggest that the corner states can be detected experimentally through a forced vibration.