论文标题
在电路中实现平方根高阶拓扑绝缘子
Realization of the square-root higher-order topological insulator in electric circuits
论文作者
论文摘要
高阶拓扑绝缘子（HOTI）代表了物质的一个新阶段，其表征超出了传统的散装对应关系，并引起了广泛社区的重大关注。使用平方根的操作，已经提出了一个方形的HOTI可能会在混合蜂窝状晶格中出现。在这里，我们报告了拓扑LC电路中Square-Root Hoti的第一个实验实现。我们在理论上和实验上表明，平方根hoti从其父母那里继承了波函数的特征，其角状态固定在非零的能量上。拓扑特征完全以大量极化为特征。为了直接测量有限能量角模式，我们向每个节点引入额外的接地电感器。我们的结果在实验中证实了新兴的方形霍蒂，并为实现外来拓扑阶段铺平了道路，这些拓扑阶段在凝结物理学中挑战。
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 non-zero 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. 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.
