论文标题
观察光子准晶体中拓扑角阵列
Observation of Topological Corner State Arrays in Photonic Quasicrystals
论文作者
论文摘要
最近，对拓扑角状态（TCSS）的研究从晶体扩展到准晶体，这些晶体被称为高阶拓扑准晶体绝缘子（HOTQIS）。但是，光子系统中完整的准周期结构的TCS尚未证明。此外，高阶拓扑绝缘子（HOTIS）中的每个角区只有一个TC。增加TC的数量有望增加TCSS的应用潜力。在这项工作中，可以在实验中观察到光子系统中的HOTQI。发现HOTQI具有TCS数组，每个TCS阵列包含多个TCS。此外，多聚机分析方法的通用理论框架得到了改善，并提出了平均电荷密度的差异作为真实空间拓扑指数。这些结果将为研究高度集成的多区域局部TCS提供新的想法，并有望提供新的方法来探索拓扑现象和光子准晶体的应用。
Recently, the studies of topological corner states (TCSs) are extended from crystals to quasicrystals, which are referred to as higher-order topological quasicrystalline insulators (HOTQIs). However, the TCSs of complete quasi-periodic structure in photonic systems have yet to be demonstrated. Moreover, there is only one TCS in each corner region in higher-order topological insulators (HOTIs). Increasing the number of TCS is expected to increase application potential of TCSs. In this work, HOTQIs in photonic systems are experimentally observed. It is found that HOTQIs possess TCS arrays, and each TCS array contains several TCSs. Furthermore, the universal theoretical framework of the multimer analysis method is improved, and the difference in the average charge density is proposed as a real-space topological index. These results will open up new ideas for investigating highly integrated, multi-region localized TCSs and are expected to provide new ways to explore topological phenomena and the applications of photonic quasicrystals.
