陀螺材料拓扑带隙的起源与局部化
Origin and localization of topological band gaps in gyroscopic metamaterials
摘要：
相互作用的陀螺仪网络已被证明是理解和利用有限频率拓扑激励的通用结构。自旋组件引起带隙和拓扑保护波传输沿系统的边界，无论陀螺仪被安排在一个晶格或在一个无定形的配置。在这里，我们研究的不相关的周期性秩序产生拓扑间隙。从我们的模型超材料的辛动力学出发，我们提出了一个通用的方法来预测是否存在间隙，并近似陈数仅使用网络的局部特征，绕过昂贵的对角化系统的动态矩阵。然后，我们研究了强无序如何与陀螺超材料中的能带拓扑相互作用，并发现非晶陀螺陈氏绝缘体表现出类似的临界行为的周期性晶格。我们的实验和模拟还揭示了一个拓扑安德森绝缘过渡，其中无序驱动一个平凡的阶段到拓扑之一。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
