论文标题
陀螺超材料中拓扑带隙的起源和定位
Origin and localization of topological band gaps in gyroscopic metamaterials
论文作者
论文摘要
事实证明，相互作用的陀螺仪网络是理解和利用有限频率拓扑激发的多功能结构。旋转组件会产生沿系统边界的带隙和拓扑保护的波传输，无论陀螺仪是在晶格中还是在无定形构型中排列的。在这里，我们研究了产生拓扑间隙的周期性顺序无关紧要的。从模型超材料的符号动力学开始，我们提出了一种通用方法，用于预测差距是否存在并仅使用网络的局部特征近似Chern号，绕过系统动力学矩阵的昂贵对角线化。然后，我们研究了强障碍在陀螺仪超材料中如何与带拓扑相互作用，并发现无定形的陀螺氏症Chern绝缘子表现出与周期性晶格相似的临界行为。我们的实验和模拟还揭示了拓扑安德森绝缘过渡，其中疾病将微不足道的阶段驱逐到拓扑阶段。
Networks of interacting gyroscopes have proven to be versatile structures for understanding and harnessing finite-frequency topological excitations. Spinning components give rise to band gaps and topologically protected wave transport along the system's boundaries, whether the gyroscopes are arranged in a lattice or in an amorphous configuration. Here, we examine the irrelevance of periodic order for generating topological gaps. Starting from the symplectic dynamics of our model metamaterial, we present a general method for predicting whether a gap exists and for approximating the Chern number using only local features of a network, bypassing the costly diagonalization of the system's dynamical matrix. We then study how strong disorder interacts with band topology in gyroscopic metamaterials and find that amorphous gyroscopic Chern insulators exhibit similar critical behavior to periodic lattices. Our experiments and simulations additionally reveal a topological Anderson insulation transition, wherein disorder drives a trivial phase into a topological one.
