发表机构
Seoul National University; University of Seoul（首尔大学; 首尔大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究提出无冲突设计框架，在复杂网络中实现拓扑绝缘体，揭示网络特有特征，确立网络复杂性为高容量可重构拓扑绝缘体的资源。
AI 中文摘要
拓扑绝缘体的研究领域已扩展出其传统范畴，即具有短程跳跃的周期晶格。相关研究探索了非欧几里得几何、无序结构和长程跳跃下的拓扑现象，逐步缩小了物质拓扑相与复杂网络之间的差距。在此，我们证明真正的复杂网络，远超周期晶格及其常规变体，本身即可承载拓扑绝缘相。通过为多个拓扑目标开发一种无冲突的设计框架，我们在高次霍夫施塔特晶格以及规则、小世界和随机网络中实现了拓扑绝缘体。这一推广揭示了网络特有的特征，包括可达到的拓扑特性范围扩大、从霍夫施塔特型到霍尔丹型陈绝缘体的度依赖转变，以及最值得注意的是，小世界拓扑绝缘体具有卓越的鲁棒性和可重构性。我们的图论框架将网络复杂性确立为实现高容量和可重构拓扑绝缘体的资源。
英文摘要
The landscape of topological insulators has expanded beyond its traditional domain of periodic lattices with short-range hopping. Related studies have explored topological phenomena under non-Euclidean geometries, disordered structures, and long-range hopping, progressively narrowing the gap between topological phases of matter and complex networks. Here we demonstrate that genuine complex networks, far beyond periodic lattices and their conventional variants, can themselves host topological insulating phases. By developing a nonconflicting design framework for multiple topological objectives, we realize topological insulators in high-degree Hofstadter lattices and across regular, small-world, and random networks. This generalization uncovers distinct network-specific features, including an expanded range of attainable topological characteristics, a degree-dependent transition from Hofstadter-type to Haldane-type Chern insulators, and, most notably, the superior robustness and reconfigurability of small-world topological insulators. Our graph-theoretic framework establishes network complexity as a resource for realizing high-capacity and reconfigurable topological insulators.
