机械变晶中的拓扑结点线
Topological Node-Lines in Mechanical Metacrystals
摘要:
拓扑声波和弹性波是近年来兴起的一个令人兴奋的交叉学科领域,目前主要集中在低维结构和模型系统上。在这里,我们展示了数值模拟的弹性波拓扑节点线在三维机械超晶带状或鼓面状表面状态。这些二维拓扑表面状态提供了前所未有的,强大的亚波长限制的弹性波。从材料和对称性两个方面揭示了拓扑力学超材料的设计原则,并将其与基本守恒定律和非对称空间群联系起来。我们的研究为三维机械超材料和拓扑波动力学之间的协同作用铺平了道路。
英文摘要:
Topological acoustic and elastic waves have recently emerged as an exciting interdisciplinary field which is still mainly focused on low-dimensional structures and model systems. Here we demonstrate numerically an elastic-wave analogue of topological node-lines in three-dimensional mechanical metacrystals with ribbon- or drumhead-like surface states. These two-dimensional topological surface states offer unprecedented, robust subwavelength confinement of elastic waves. Design principles for topological mechanical metamaterials, from both material and symmetry aspects, are unveiled and connected to fundamental conservation laws and nonsymmorphic space group. Our study paves the way toward the synergy between three-dimensional mechanical metamaterials and topological wave dynamics.
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