论文标题
能量密度作为光子晶体中带状表示的探针
Energy density as a probe of band representations in photonic crystals
论文作者
论文摘要
拓扑量子化学（TQC）最近已成为一种仪器工具，以表征费米原子和玻色子带结构的拓扑性质。 TQC基于对频带表示的研究和最大局部浮力函数的定位。在本文中，我们研究了各种二维光子晶体结构，通过对TQC，Wilson-Loop光谱和电磁能密度的联合研究来分析其拓扑特征。我们的研究表明，对能量密度的空间定位的分析根据Wilson-Loop操作员和TQC的光谱来补充拓扑特性的研究。
Topological Quantum Chemistry (TQC) has recently emerged as a instrumental tool to characterize the topological nature of both fermionic and bosonic band structures. TQC is based on the study of band representations and the localization of maximally localized Wannier functions. In this article, we study various two-dimensional photonic crystal structures analyzing their topological character through a combined study of TQC, their Wilson-loop spectra and the electromagnetic energy density. Our study demonstrates that the analysis of the spatial localization of the energy density complements the study of the topological properties in terms of the spectrum of the Wilson-loop operator and TQC.
