论文标题

4D六铁绝缘剂的面向电流实现

Topolectrical-circuit realization of 4D hexadecapole insulator

论文作者

Zhang, Weixuan, Zou, Deyuan, He, Wenjing, Bao, Jiacheng, Pei, Qingsong, Sun, Houjun, Zhang, Xiangdong

论文摘要

最近,量化偶极极化的理论已扩展为解释电力矩,从而发现了多极拓扑绝缘子(TIS)。在各种经典系统中都实现了二维(2D)四极杆和三维(3D)八个八个八个八个角tis。但是,由于固有的3D限制,较高的多尺度多极TI(例如四维(4D)六核酸酯TI)被认为很难在真实空间中构造,尽管已经通过合成维度讨论了它们的某些特性。在这里,我们从理论上提出并在实验上证明了基于完全真实空间中的电路的4D六二铁Ti的经典类似物的实现。提供了4D六核电路的显式结构,其中提供了以任何理想的方式免于局部和维度约束的方式的连接。通过直接电路模拟和阻抗测量,观察到了4D电路晶格中受量化的六烷基矩保护的间隙角状态,还显示了角状态的稳健性。我们的工作为研究真实空间中的高阶/维拓扑物理学提供了新的途径。

Recently, the theory of quantized dipole polarization has been extended to account for electric multipole moments, giving rise to the discovery of multipole topological insulators (TIs). Both two-dimensional (2D) quadrupole and three-dimensional (3D) octupole TIs with robust zero-dimensional (0D) corner states have been realized in various classical systems. However, due to the intrinsic 3D limitation, the higher dimensional multipole TIs, such as four-dimensional (4D) hexadecapole TIs, are supposed to be extremely hard to construct in real space, although some of their properties have been discussed through the synthetic dimensions. Here, we theoretically propose and experimentally demonstrate the realization of classical analog of 4D hexadecapole TI based on the electric circuits in fully real space. The explicit construction of 4D hexadecapole circuits, where the connection of nodes is allowed in any desired way free from constraints of locality and dimensionality, is provided. By direct circuit simulations and impedance measurements, the in-gap corner states protected by the quantized hexadecapole moment in the 4D circuit lattices are observed and the robustness of corner state is also demonstrated. Our work offers a new pathway to study the higher order/dimensional topological physics in real space.

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