arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2601.06293physics.opticscond-mat.mes-hall
收藏

光子晶体中拓扑带理论的基本构建块

Building blocks of topological band theory for photonic crystals

University of Illinois Urbana-Champaign(伊利诺伊大学厄巴纳-香槟分校);Imperial College London(帝国理工学院);University of the Basque Country (UPV/EHU)(巴斯克大学);Donostia International Physics Center(圣塞巴斯蒂安国际物理中心);ETH Zurich(苏黎世联邦理工学院)

Yoonseok Hwang, Vaibhav Gupta, Antonio Morales-Pérez, Chiara Devescovi, Mikel García-Díez, Juan L. Mañes, Maia G. Vergniory, Aitzol García-Etxarri, Barry Bradlyn

AI总结:

本文提出利用稳定实空间不变量(SRSIs)对光子晶体中的拓扑带进行分类,揭示其作为基本构建块的性质,并区分光子与电子带结构。

摘要:

我们推导了一个框架,用于分类三维光子带结构中的拓扑带,其中麦克斯韦方程所暗示的零频率极化奇点使得现有基于对称性的方法难以直接应用。在最近关于光子带正则化的进展基础上,我们利用最近引入的稳定实空间不变量(SRSIs)概念,展示了如何通过带表示的等价类无歧义地表征光子带结构。我们利用SRSIs对拓扑平凡的光子带进行分类,将其视为三维光子带结构的基本构建块。这意味着如果某些带无法由这些构建块构造,则它们必然具有拓扑性质。此外,我们通过分析具有和不具有极化奇点的系统中允许的SRSI值,区分了光子带结构与电子带结构。我们还探讨了极化奇点对威金森环行为的影响,为三维光子系统的拓扑分类提供了新的见解。

英文摘要:

We derive a framework for classifying topological bands in three-dimensional photonic band structures, where the zero frequency polarization singularity implied by Maxwell's equations complicates the direct application of existing symmetry-based approaches. Building on recent advances in the regularization of photonic bands, we use the recently introduced concept of stable real-space invariants (SRSIs) to show how photonic band structures can be unambiguously characterized in terms of equivalence classes of band representations. We classify topologically trivial photonic bands using SRSIs, treating them as the fundamental building blocks of 3D photonic band structures. This means that if certain bands cannot be constructed from these building blocks, they are necessarily topological. Furthermore, we distinguish between photonic and electronic band structures by analyzing which SRSI values are allowed in systems with and without polarization singularity. We also explore the impact of the polarization singularity on the behavior of Wilson loops, providing new insights into the topological classification of 3D photonic systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑