标题： 量子几何增强的弗洛凯拓扑激子绝缘体 显示英文标题

标题： Quantum Geometry Enriched Floquet Topological Excitonic Insulators

摘要： 电子-空穴相关性和非平凡拓扑的交织已知会导致奇异的拓扑激子绝缘体。 在这里，我们表明量子几何的参与可以导致更奇异的激子相，表现出由其几何而非拓扑决定的物理性质。 从一个拓扑带绝缘体出发，逐渐减小带隙，多体相互作用可以首先生成p+ip波，然后生成s波激子绝缘体。 有趣的是，它们具有相同的陈数，但表现出完全不同的自旋纹理和磁光Kerr响应，反映了它们波函数中的复杂几何差异。 我们还提出通过弗洛凯工程增强关联效应，这提供了一种系统的方法，在非平衡稳态中实现这些新型拓扑激子绝缘体及其相变。 我们的结果展示了由量子几何丰富的新关联现象，超越了传统的拓扑分类。 显示英文摘要

摘要： The intertwining of electron-hole correlation and nontrivial topology is known to give rise to exotic topological excitonic insulators. Here, we show that the involvement of quantum geometry can lead to more exotic excitonic phases exhibiting physical properties that are not determined by their topology but geometry. Starting from a topological band insulator and gradually reducing the band bap, many-body interaction can firstly generate a p+ip-wave and then an s-wave excitonic insulator. Interestingly, they bare the same Chern number but exhibit completely different spin textures and magneto-optical Kerr responses, reflecting the intricate geometric distinctions in their wavefunctions. We also propose to enhance the correlation effect via Floquet engineering, which provides a systematic way to realize these novel topological excitonic insulators and their phase transitions in the non-equilibrium steady states. Our results demonstrate new correlated phenomena enriched by quantum geometry, beyond the conventional topological classifications.