标题： 光子晶体中拓扑角模式的鲁棒性 显示英文标题

标题： On the robustness of topological corner modes in photonic crystals

摘要： 我们分析了拓扑光子晶体中角模式的鲁棒性，以一个$C_6$对称的呼吸六边形光子晶体为例。 首先，我们采用拓扑量子化学和威尔逊环计算来证明体晶体的拓扑性质来源于受阻原子极限相。 然后，我们利用半解析模型表征在禁带边缘模式中出现的拓扑角模式，并确定适当的实空间拓扑不变量。 我们首次详细描述了长程相互作用对光子晶体中拓扑模式的影响，并量化了它们对扰动的鲁棒性。 我们得出结论，尽管光子长程相互作用不可避免地破坏手性对称性，但角模式由晶格对称性保护。 显示英文摘要

摘要： We analyze the robustness of corner modes in topological photonic crystals, taking a $C_6$-symmetric breathing honeycomb photonic crystal as an example. First, we employ topological quantum chemistry and Wilson loop calculations to demonstrate that the topological properties of the bulk crystal stem from an obstructed atomic limit phase. We then characterize the topological corner modes emerging within the gapped edge modes employing a semi-analytical model, determining the appropriate real space topological invariants. For the first time, we provide a detailed account of the effect of long-range interactions on the topological modes in photonic crystals, and we quantify their robustness to perturbations. We conclude that, while photonic long-range interactions inevitably break chiral symmetry, the corner modes are protected by lattice symmetries.