论文标题

三维弹性晶格中的Weyl点和拓扑表面状态

Weyl points and topological surface states in a three-dimensional elastic lattice

论文作者

Ganti, Sai Sanjit, Liu, Ting-Wei, Semperlotti, Fabio

论文摘要

在实现量子电子材料中Weyl半法的实现之后,在光子学和声学中,Weyl材料的经典波类似物也已被理论化并实验证明。但是,弹性系统中的Weyl点已经是一个最近的发现。在这项研究中,我们报告了弹性全甲基三维材料的设计,尽管提供结构和承载功能,但它也能够以类似于量子机械的对应物的方式,具有Weyl Deneracies和表面拓扑受到拓扑保护的模式。晶格的拓扑特征是通过\ textit {ab intio}获得的数值计算,而无需采用任何进一步的简化。结果清楚地表征了Weyl点的拓扑结构,并且与表面拓扑模式的期望完全一致。最后,全场数值模拟用于确认表面状态的存在,并说明其对晶格障碍和缺陷的极端鲁棒性。

Following the realization of Weyl semimetals in quantum electronic materials, classical wave analogues of Weyl materials have also been theorized and experimentally demonstrated in photonics and acoustics. Weyl points in elastic systems, however, have been a much more recent discovery. In this study, we report on the design of an elastic fully-continuum three-dimensional material that, while offering structural and load-bearing functionalities, is also capable of Weyl degeneracies and surface topologically-protected modes in a way completely analogous to the quantum mechanical counterpart. The topological characteristics of the lattice are obtained by \textit{ab initio} numerical calculations without employing any further simplifications. The results clearly characterize the topological structure of the Weyl points and are in full agreement with the expectations of surface topological modes. Finally, full field numerical simulations are used to confirm the existence of surface states and to illustrate their extreme robustness towards lattice disorder and defects.

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