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Observation of Topologicalp-Orbital Disclination States in Non-Euclidean Acoustic Metamaterials
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-10-03 , DOI: 10.1103/physrevlett.129.154301
Ying Chen 1 , Yuhang Yin 2 , Zhi-Kang Lin 3 , Ze-Huan Zheng 2 , Yang Liu 3 , Jing Li 2 , Jian-Hua Jiang 3 , Huanyang Chen 2
Affiliation  

Disclinations—topological defects ubiquitously existing in various materials—can reveal the intrinsic band topology of the hosting material through the bulk-disclination correspondence. In low-dimensional materials and nanostructure such as graphene and fullerenes, disclinations yield curved surfaces and emergent non-Euclidean geometries that are crucial in understanding the properties of these materials. However, the bulk-disclination correspondence has never been studied in non-Euclidean geometry, nor in systems with p-orbital physics. Here, by creating p-orbital topological acoustic metamaterials with disclination-induced conic and hyperbolic surfaces, we demonstrate the rich emergent bound states arising from the interplay among the real-space geometry, the bulk band topology, and the p-orbital physics. This phenomenon is confirmed by clear experimental evidence that is consistent with theory and simulations. Our experiment paves the way toward topological phenomena in non-Euclidean geometries and will stimulate interesting research on, e.g., topological phenomena for electrons in nanomaterials with curved surfaces.

中文翻译:

非欧声学超材料中拓扑p轨道向错态的观察

向错——在各种材料中普遍存在的拓扑缺陷——可以通过体向旋对应揭示宿主材料的固有带拓扑。在石墨烯和富勒烯等低维材料和纳米结构中,向错产生曲面和涌现的非欧几里德几何形状,这对于理解这些材料的特性至关重要。然而,体积向旋对应从未在非欧几里得几何中研究过,也没有在具有p- 轨道物理学。在这里,通过创建p-具有向错诱导圆锥和双曲线表面的轨道拓扑声学超材料,我们展示了由实空间几何、体带拓扑和p- 轨道物理学。这一现象得到了与理论和模拟一致的明确实验证据的证实。我们的实验为非欧几何中的拓扑现象铺平了道路,并将激发有趣的研究,例如曲面纳米材料中电子的拓扑现象。
更新日期:2022-10-03
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