论文标题
机械自动式kagome lattices中有限频率拓扑座椅模式
Finite-Frequency Topological Maxwell Modes in Mechanical Self-Dual Kagome Lattices
论文作者
论文摘要
在这封信中，显示出一个临界扭曲角度的弹性扭曲的kagome晶格，称为自dual Kagome晶格，显示出在满足某些条件时出现的特殊有限频率拓扑模式。这些状态在拓扑上让人联想到麦克斯韦晶格的零能量（软盘）模式，但它们出现在自偶型kagome晶格的带隙中。因此，我们提出了一类全新的拓扑模式，这些模式与麦克斯韦晶格中的零频率软盘和拓扑绝缘体中的有限能量内置模式共享相似之处。我们设想所提出的数学和数值框架对于许多与波浪现象（例如可重构波导设计）有关的技术进步非常宝贵。
In this Letter, an elastic twisted kagome lattice at a critical twist angle, called self-dual kagome lattice, is shown to exhibit peculiar finite-frequency topological modes which emerge when certain conditions are satisfied. These states are topologically reminiscent to the zero energy (floppy) modes of Maxwell lattices but they occur at a finite frequency in the band gap of self-dual kagome lattice. Thus, we present a completely new class of topological modes which share similarities with both the zero frequency floppy modes in Maxwell lattices and the finite energy in-gap modes in topological insulators. We envision the presented mathematical and numerical framework to be invaluable for many technological advances pertaining to wave phenomenon such as reconfigurable waveguide designs.
