标题： 通过潜在对称性的拓扑安德森绝缘体 显示英文标题

标题： Topological Anderson insulators by latent symmetry

摘要： 拓扑安德森绝缘体代表了一类由无序诱导的非平凡拓扑态。 在本研究中，我们提出了一种可行的策略来揭示和设计隐式对称性保护的拓扑安德森绝缘体。 通过采用图论中的同谱约化方法，我们将一组无序的多原子链约化为具有能量依赖势和跃迁的无序二聚链，该链表现出手征对称性或宇称对称性。 根据约化后的无序系统中的拓扑不变量、体极化以及拓扑束缚边缘态的局域化长度的发散性，可以在原始的无序多原子系统中识别出具有隐式对称性的有能隙和无能隙的拓扑安德森态。 因此，受几何对称性和十重分类保护的拓扑安德森绝缘相的概念被扩展到了各种类型的隐式对称情况。 这项工作为利用隐式对称性的拓扑安德森绝缘体铺平了道路。 显示英文摘要

摘要： Topological Anderson insulators represent a class of disorder-induced, nontrivial topological states. In this study, we propose a feasible strategy to unveil and design the latent-symmetry protected topological Anderson insulators. By employing the isospectral reduction approach from graph theory, we reduce a family of the disordered multi-atomic chains to the disordered dimerized chain characterized by energy-dependent potentials and hoppings, which exhibits the chiral symmetry or inversion symmetry. According to the topological invariants, bulk polarization, and the divergence of localization length of the topological bound edge states in the reduced disordered system, the gapped and ungapped topological Anderson states with latent symmetry could be identified in the original disordered multi-atomic systems. The concept of topological Anderson insulating phases protected by the geometric symmetries and tenfold-way classification is thus extended to the various types of latent symmetry cases. This work paves the way for exploiting topological Anderson insulators in terms of latent symmetries.