Wu H C, Xu H S, Xie L C, Jin L
School of Physics, Nankai University, Tianjin 300071, China.
School of Physics, Zhengzhou University, Zhengzhou 450001, China.
Phys Rev Lett. 2024 Feb 23;132(8):083801. doi: 10.1103/PhysRevLett.132.083801.
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 numbers are completely different. Furthermore, we prove that different topologies cause zeros in their Bloch wave function overlaps, which imprint the band gap closing and appear at the degenerate points of topological phase transition. The Bloch wave function 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 numbers. 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.
我们预测了具有破缺时间反演对称性的新型拓扑相，其支持相反手性边缘态的共存，这与光子自旋霍尔、谷霍尔和高阶拓扑相有着根本的不同。我们发现了对陈绝缘体的精细分类，它们具有相同陈数的能带拓扑结构却完全不同。此外，我们证明不同的拓扑结构会导致其布洛赫波函数重叠出现零点，这会导致带隙关闭，并出现在拓扑相变的简并点处。布洛赫波函数重叠预测了在拓扑时间边界处的反射和折射，并且重叠零点确保了在临界时刻消失的复苏振幅的存在，即使时间边界前后的不同拓扑结构具有相同的陈数。我们的发现为拓扑超材料创造了新机会，揭示了隐藏在时间边界效应中的拓扑特征作为拓扑的探针，并为探索源于长程耦合的丰富物理现象开辟了道路。
