4D spinless topological insulator in a periodic electric circuit
4D spinless topological insulator in a periodic electric circuit作者机构：School of Physics and TechnologyWuhan University National Laboratory of Solid State Microstructures and Department of Physics Nanjing University Collaborative Innovation Center of Advanced MicrostructuresNanjing University Max-Planck-Institute for Solid State Research
出 版 物：《National Science Review》 (国家科学评论(英文版))
年 卷 期：2020年第7卷第8期
页 面：1288-1295页
核心收录：
学科分类：07[理学] 070205[理学-凝聚态物理] 0702[理学-物理学]
基 金：supported by the National Key Research and Development Program of China (2017YFA0303402 and2017YFA0304700) the National Natural Science Foundation of China (11874048 and 11674077) the GRF (HKU173057/17P) of Hong Kong
主 题：topological circuit 4D topological states 4D topological Hall effect second Chern number Weyl states
摘 要：According to the mathematical classification of topological band structures, there exist a number of fascinating topological states in dimensions larger than three with exotic boundary phenomena and interesting topological responses. While these topological states are not accessible in condensed matter systems, recent works have shown that synthetic systems, such as photonic crystals or electric circuits, can realize higher-dimensional band structures. Here, we argue that, because of its symmetry properties, the 4D spinless topological insulator is particularly well suited for implementation in these synthetic systems. We explicitly construct a 2D electric circuit lattice, whose resonance frequency spectrum simulates the 4D spinless topological insulator. We perform detailed numerical calculations of the circuit lattice and show that the resonance frequency spectrum exhibits pairs of 3D Weyl boundary states, a hallmark of the nontrivial topology. These pairs of 3D Weyl states with the same chirality are protected by classical time-reversal symmetry that squares to +1, which is inherent in the proposed circuit lattice. We also discuss how the simulated 4D topological band structure can be observed in experiments.
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