无时间反演对称性下的非阿贝尔能带拓扑观测
Observation of non-Abelian band topology without time-reversal symmetry
AI总结：
本研究突破非阿贝尔拓扑材料需时间反演对称性的限制，基于Kagome晶格与旋磁光子晶体证实时间反演破缺可产生多带隙反手性边缘态等独特非阿贝尔拓扑现象，为相关研究与电磁波拓扑操控提供新路径。
摘要：
超越传统理论框架，非阿贝尔能带拓扑揭示了具有多带隙的布洛赫能带的全局量子几何，从而为拓扑物理学开辟了新范式。但迄今为止，所有非阿贝尔拓扑材料都局限于具有时间反演对称性（T）的系统。本研究从受Haldane模型启发的Kagome晶格以及定制化旋磁光子晶体（PhCs）出发，证明时间反演对称性破缺可催生丰富的非阿贝尔拓扑物理现象，尤其是多带隙反手性边缘态的出现。仅需改变Kagome晶格的磁通量，或原位调谐旋磁光子晶体的局域磁场，即可实现非阿贝尔荷带节点的非常规产生、编织、合并与分裂，同时可直接操控多带隙反手性边缘态。特别值得注意的是，二次点可分裂为四个Dirac点，这是时间反演破缺系统中独有的现象。我们的理论与实验发现将为时间反演破缺系统中的非阿贝尔物理研究开辟新方向，并为电磁波的拓扑操控开辟前所未有的途径。
英文摘要：
Going beyond the conventional theory, non-Abelian band topology uncovers the global quantum geometry of Bloch bands with multiple gaps and thus unveil a new paradigm for topological physics. However, to date, all non-Abelian topological materials are restricted to systems with time-reversal symmetry (T). Here, starting from a Kagome lattice inspired by Haldane model and designer gyromagnetic photonic crystals (PhCs), we show that T breaking can lead to rich non-Abelian topological physics, particularly the emergence of multigap antichiral edge states. Simply changing the magnetic flux of the Kagome lattice, or in-situ tuning the local magnetic field of the gyromagnetic PhCs, can lead to the unconventional creation, braiding, merging, and splitting of non-Abelian charged band nodes, alongside with the direct manipulation of the multigap antichiral edge states. Particularly, the quadratic point can be split into four Dirac points, a phenomenon unique in T-broken systems. Our theoretical and experimental findings will inspire a new direction in the study of non-Abelian physics in T-broken systems and open an unprecedent pathway for topological manipulation of electromagnetic waves.
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