论文标题
软拓扑模式受刚性机械超材料中对称性保护的模式
Soft topological modes protected by symmetry in rigid mechanical metamaterials
论文作者
论文摘要
拓扑机制可以实现机械超材料中的软模式，在这种方法上，粒子运动自由度的数量通过粒子间相互作用提供的约束来很好地平衡。但是，固体物体通常是高级（或过度约束）。在这里，我们展示了即使在过度约束的刚性系统中，也可以使用对称性来生成拓扑软模式。为此，我们考虑了基于非方格矩阵的非热拓扑，并设计了一种高恒星材料，在该材料中，在该材料中，由拓扑和对称性保护的低能模式出现在接口处。我们的方法提出了一种新颖的方式，可以在适合纳米级的小型化体系结构中产生柔软度。
Topological mechanics can realize soft modes in mechanical metamaterials in which the number of degrees of freedom for particle motion is finely balanced by the constraints provided by interparticle interactions. However, solid objects are generally hyperstatic (or overconstrained). Here, we show how symmetries may be applied to generate topological soft modes even in overconstrained, rigid systems. To do so, we consider non-Hermitian topology based on non-square matrices, and design a hyperstatic material in which low-energy modes protected by topology and symmetry appear at interfaces. Our approach presents a novel way of generating softness in robust scale-free architectures suitable for miniaturization to the nanoscale.
