Intrinsic in-plane nodal chain and generalized quaternion charge protected nodal link in photonics

Dongyang Wang; Biao Yang; Qinghua Guo; Ruo-Yang Zhang; Lingbo Xia; Xiaoqiang Su; Wen-Jie Chen; Jiaguang Han; Shuang Zhang; C. T. Chan

doi:10.1038/s41377-021-00523-8

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Intrinsic in-plane nodal chain and generalized quaternion charge protected nodal link in photonics

Articles

- Intrinsic in-plane nodal chain and generalized quaternion charge protected nodal link in photonics
- Light: Science & Applications Vol. 10, Issue 5, Pages: 881-889(2021)
- Affiliations：
  
  1.Department of Physics, Hong Kong University of Science and Technology, Hong Kong, China
  2.College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha, China
  3.Institute for Advanced Study, Hong Kong University of Science and Technology, Hong Kong, China
  4.Key Laboratory for Micro-Nano Optoelectronic Devices of Ministry of Education, School of Physics and Electronics, Hunan University, Changsha, China
  5.Institute of Solid State Physics and Department of Physics, Shanxi Datong University, Datong, China
  6.School of Physics & State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University, Guangzhou, China
  7.Center for Terahertz Waves and College of Precision Instrument and Optoelectronics Engineering, Tianjin University and the Key Laboratory of Optoelectronics Information and Technology (Ministry of Education), Tianjin, China
  8.School of Physics & Astronomy, University of Birmingham, Birmingham, UK
- Author bio：
  
  Jiaguang Han (jiaghan@tju.edu.cn)
  Shuang Zhang (s.zhang@bham.ac.uk)
  C. T. Chan (phchan@ust.hk)
- Funds：
- DOI：10.1038/s41377-021-00523-8
  CLC：
- Published：31 May 2021，
  
  Published Online：15 April 2021，
  
  Received：24 November 2020，
  
  Revised：15 March 2021，
  
  Accepted：30 March 2021
- Accepted：
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Wang, D. Y. et al. Intrinsic in-plane nodal chain and generalized quaternion charge protected nodal link in photonics. Light: Science & Applications, 10, 881-889 (2021).
DOI：

Wang, D. Y. et al. Intrinsic in-plane nodal chain and generalized quaternion charge protected nodal link in photonics. Light: Science & Applications, 10, 881-889 (2021). DOI： 10.1038/s41377-021-00523-8.

摘要

Abstract

Nodal lines are degeneracies forme

d by crossing bands in three-dimensional momentum space. Interestingly

these degenerate lines can chain together via touching points and manifest as nodal chains. These nodal chains are usually embedded in two orthogonal planes and protected by the corresponding mirror symmetries. Here

we propose and demonstrate an in-plane nodal chain in photonics

where all chained nodal lines coexist in a single mirror plane instead of two orthogonal ones. The chain point is stabilized by the intrinsic symmetry that is specific to electromagnetic waves at the Г point of zero frequency. By adding another mirror plane

we find a nodal ring that is constructed by two higher bands and links with the in-plane nodal chain. The nodal link in momentum space exhibits non-Abelian characteristics on a

- invariant plane

where admissible transitions of the nodal link structure are determined by generalized quaternion charges. Through near-field scanning measurements of bi-anisotropic metamaterials

we experimentally mapped out the in-plane nodal chain and nodal link in such systems.

关键词

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references

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