中国物理B ›› 2024, Vol. 33 ›› Issue (4): 44203-044203.doi: 10.1088/1674-1056/ad1e6a

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Topological edge and corner states of valley photonic crystals with zipper-like boundary conditions

Yun-Feng Shen(沈云峰)1, Xiao-Fang Xu(许孝芳)1,2,†, Ming Sun(孙铭)1, Wen-Ji Zhou(周文佶)1, and Ya-Jing Chang(常雅箐)1   

  1. 1 School of Mechanical Engineering, Jiangsu University, Zhenjiang 212000, China;
    2 School of Optical and Electronic Information, Suzhou City University & Suzhou Key Laboratory of Biophotonics, Suzhou 215104, China
  • 收稿日期:2023-11-17 修回日期:2024-01-11 接受日期:2024-01-15 出版日期:2024-03-19 发布日期:2024-03-27
  • 通讯作者: Xiao-Fang Xu E-mail:xiaofangxu@aliyun.com
  • 基金资助:
    Project supported by the Suzhou Basic Research Project (Grant No. SJC2023003) and Suzhou City University National Project Pre-research Project (Grant No. 2023SGY014).

Topological edge and corner states of valley photonic crystals with zipper-like boundary conditions

Yun-Feng Shen(沈云峰)1, Xiao-Fang Xu(许孝芳)1,2,†, Ming Sun(孙铭)1, Wen-Ji Zhou(周文佶)1, and Ya-Jing Chang(常雅箐)1   

  1. 1 School of Mechanical Engineering, Jiangsu University, Zhenjiang 212000, China;
    2 School of Optical and Electronic Information, Suzhou City University & Suzhou Key Laboratory of Biophotonics, Suzhou 215104, China
  • Received:2023-11-17 Revised:2024-01-11 Accepted:2024-01-15 Online:2024-03-19 Published:2024-03-27
  • Contact: Xiao-Fang Xu E-mail:xiaofangxu@aliyun.com
  • Supported by:
    Project supported by the Suzhou Basic Research Project (Grant No. SJC2023003) and Suzhou City University National Project Pre-research Project (Grant No. 2023SGY014).

摘要: We present a stable valley photonic crystal (VPC) unit cell with C3v symmetric quasi-ring-shaped dielectric columns and realize its topological phase transition by breaking mirror symmetry. Based on this unit cell structure, topological edge states (TESs) and topological corner states (TCSs) are realized. We obtain a new type of wave transmission mode based on photonic crystal zipper-like boundaries and apply it to a beam splitter assembled from rectangular photonic crystals (PCs). The constructed beam splitter structure is compact and possesses frequency separation functions. In addition, we construct a box-shaped triangular PC structures with zipper-like boundaries and discover phenomena of TCSs in the corners, comparing its corner states with those formed by other boundaries. Based on this, we explore the regularities of the electric field patterns of TESs and TCSs, explain the connection between the characteristic frequencies and locality of TCSs, which helps better control photons and ensures low power consumption of the system.

关键词: valley photonic crystal, topological edge states, topological corner states, higher-order topological insulators, topological phase transition

Abstract: We present a stable valley photonic crystal (VPC) unit cell with C3v symmetric quasi-ring-shaped dielectric columns and realize its topological phase transition by breaking mirror symmetry. Based on this unit cell structure, topological edge states (TESs) and topological corner states (TCSs) are realized. We obtain a new type of wave transmission mode based on photonic crystal zipper-like boundaries and apply it to a beam splitter assembled from rectangular photonic crystals (PCs). The constructed beam splitter structure is compact and possesses frequency separation functions. In addition, we construct a box-shaped triangular PC structures with zipper-like boundaries and discover phenomena of TCSs in the corners, comparing its corner states with those formed by other boundaries. Based on this, we explore the regularities of the electric field patterns of TESs and TCSs, explain the connection between the characteristic frequencies and locality of TCSs, which helps better control photons and ensures low power consumption of the system.

Key words: valley photonic crystal, topological edge states, topological corner states, higher-order topological insulators, topological phase transition

中图分类号:  (Photonic bandgap materials)

  • 42.70.Qs
03.65.Vf (Phases: geometric; dynamic or topological) 42.25.Bs (Wave propagation, transmission and absorption) 42.81.Dp (Propagation, scattering, and losses; solitons)