4D spinless topological insulator in a periodic electric circuit.
4D spinless topological insulator in a periodic electric circuit.
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周期性电路中的 4D 无旋转拓扑绝缘体
DOI：
10.1093/nsr/nwaa065
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发表时间：
2020-08
影响因子：
20.6
通讯作者：
Schnyder AP
中科院分区：
文献类型：
--
作者：
Yu R;Zhao YX;Schnyder AP
根据拓扑能带结构的数学分类，在大于3维的空间中存在着许多有趣的拓扑态，它们具有奇异的边界现象和有趣的拓扑响应。虽然这些拓扑状态在凝聚态系统中不可用，但最近的工作表明，合成系统，如光子晶体或电路，可以实现更高维的能带结构。在这里，我们认为，由于其对称性，4D无自旋拓扑绝缘体是特别适合在这些合成系统中实现。我们明确地构造了一个二维电路晶格，其共振频谱模拟了四维无自旋拓扑绝缘体。我们进行了详细的数值计算的电路晶格，并表明，共振频谱表现出对3D外尔边界状态，一个标志的非平凡拓扑结构。这些具有相同手征的3D外尔态对受到经典时间反演对称性的保护，该对称性平方为+1，这是所提出的电路晶格中固有的。我们还讨论了如何模拟的4D拓扑能带结构可以在实验中观察到。在二维电路板上模拟了四维拓扑绝缘体，其中固有的经典时间反演对称性保护了每个边界上具有相同手征的两个Weyl模。
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. A 4D topological insulator is simulated on a 2D board of electric circuits, where the intrinsic classical time-reversal symmetry protects two Weyl modes with the same chirality on each boundary.
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影响因子：
19.6
作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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Spielman, I. B.
影响因子：
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Thomale, Ronny
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作者：
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通讯作者：
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