陈绝缘体细粒度分类中的边缘态、能带拓扑与时间边界效应
Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
AI总结：
本文提出陈绝缘体的细粒度分类，揭示相同陈数下不同能带拓扑导致布洛赫波函数重叠零点，并证明这些零点可预测拓扑时间边界处的反射折射及临界时刻 revival 振幅消失，为拓扑超材料和时间边界探针开辟新方向。
摘要：
我们预测了具有破缺时间反演对称性的新型拓扑相，这些拓扑相支持相反手性边缘态的共存，从根本上区别于光子自旋霍尔、谷霍尔以及高阶拓扑相。我们发现陈绝缘体存在一种细粒度分类：尽管它们的能带拓扑由相同的陈数表征，但本质上完全不同。此外，我们证明不同的拓扑会导致其布洛赫波函数重叠中出现零点，这些零点刻画了能带间隙的闭合，并出现在拓扑相变的简并点处。布洛赫波函数重叠可以预测拓扑时间边界处的反射与折射，而重叠零点保证了在临界时刻消失的 revival 振幅的存在，即使时间边界前后的不同拓扑具有相同的陈数。我们的发现为拓扑超材料创造了新的机遇，揭示了隐藏于时间边界效应中的拓扑特征，使其可作为拓扑的探针，并为探索由长程耦合所产生的丰富物理开辟了途径。
英文摘要：
We predict novel topological phases with broken time-reversal symmetry supporting the coexistence of opposite chiral edge states, which are fundamentally different from the photonic spin-Hall, valley-Hall, and higher-order topological phases. We find a fine-grained categorization of Chern insulators, their band topologies characterized by identical Chern number are completely different. Furthermore, we prove that different topologies cause zeros in their Bloch wavefunction overlaps, which imprint the band gap closing and appear at the degenerate points of topological phase transition. The Bloch wavefunction overlaps predict the reflection and refraction at a topological time boundary, and the overlap zeros ensure the existence of vanishing revival amplitude at critical times even though different topologies before and after the time boundary have identical Chern number. Our findings create new opportunities for topological metamaterials, uncover the topological feature hidden in the time boundary effect as a probe of topology, and open a venue for the exploration of the rich physics originating from the long-range couplings.
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。
