Realization of the square-root higher-order topological insulator in electric circuits.,Nano Letters

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Realization of the square-root higher-order topological insulator in electric circuits.
Nano Letters ( IF 9.6 ) Pub Date : 2020-09-17 , DOI: 10.1021/acs.nanolett.0c03049
Lingling Song ₁ , Huanhuan Yang ₁ , Yunshan Cao ₁ , Peng Yan ₁

Affiliation

Higher-order topological insulator (HOTI) represents a new phase of matter, the characterization of which goes beyond the conventional bulk-boundary correspondence and is attracting significant attention by the broad community. Using a square-root operation, it has been suggested that a square-root HOTI may emerge in a hybrid honeycomb-kagome lattice. Here, we report the first experimental realization of the square-root HOTI in topological LC circuits. We show theoretically and experimentally that the square-root HOTI inherits the feature of wave function from its parent with corner states pinned to nonzero energies. The topological feature is fully characterized by the bulk polarization. To directly measure the finite-energy corner modes, we introduce extra grounded inductors to each node, which shifts corner states to zero-energy without affecting their spatial distributions. Our results experimentally substantiate the emerging square-root HOTI and pave the way to realizing exotic topological phases that are challenging to observe in condensed matter physics.

中文翻译：

电路中平方根高阶拓扑绝缘子的实现。

高阶拓扑绝缘体（HOTI）代表了物质的新阶段，其表征超出了常规的体-边界对应关系，并引起了广大社区的极大关注。已经提出，使用平方根运算可以在混合蜂窝-kagome晶格中出现平方根HOTI。在这里，我们报告了拓扑LC电路中平方根HOTI的第一个实验实现。我们在理论上和实验上都表明，平方根HOTI继承了其波函数的特征，其波峰状态固定在非零能量上。整体极化完全表征了拓扑特征。为了直接测量有限能量转角模式，我们向每个节点引入了额外的接地电感，在不影响其空间分布的情况下，将边角状态转换为零能量。我们的研究结果通过实验证实了新兴的平方根HOTI，并为实现异质拓扑阶段铺平了道路，这些阶段在凝聚态物理中很难观察到。

更新日期：2020-10-15

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