Topolectrical circuits are playing increasingly important roles in the discovery and experimentation of topological matter states in condensed matter physics. Here, we discovered finite-admittance topological bounded corner states concentrated next to corners and lined up along the edge in a kagome topolectrical circuit that introduces long-range coupling capacitor interactions. The topological feature is fully characterized by the bulk polarization. In order to detect the finite-admittance topological bounded corner states by measuring the two-point impedance, the additional grounded capacitors are connected to each node, so that the finite-admittance can be moved to zero. As a result, the topological characteristics and robustness of finite-admittance topological bounded corner states are well hinted by a strong resonance peak. Our research provides another alternative method for exploring and verifying the finite energy corner state in higher-order topological insulators.

拓扑电路在凝聚态物理中拓扑物质状态的发现和实验中发挥着越来越重要的作用。在这里，我们发现有限导纳拓扑有界角状态集中在角附近，并在 kagome 拓扑电路中沿边缘排列，该电路引入了远程耦合电容器相互作用。拓扑特征完全由体极化表征。为了通过测量两点阻抗来检测有限导纳拓扑有界角状态，额外的接地电容器连接到每个节点，从而可以将有限导纳移动到零。因此，有限导纳拓扑有界角状态的拓扑特征和鲁棒性很好地由强共振峰暗示。拓扑绝缘体。