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Vector valley Hall edge solitons in the photonic lattice with type-II Dirac cones

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Abstract

Topological edge solitons represent a significant research topic in the nonlinear topological photonics. They maintain their profiles during propagation, due to the joint action of lattice potential and nonlinearity, and at the same time are immune to defects or disorders, thanks to the topological protection. In the past few years topological edge solitons were reported in systems composed of helical waveguide arrays, in which the time-reversal symmetry is effectively broken. Very recently, topological valley Hall edge solitons have been demonstrated in straight waveguide arrays with the time-reversal symmetry preserved. However, these were scalar solitary structures. Here, for the first time, we report vector valley Hall edge solitons in straight waveguide arrays arranged according to the photonic lattice with innate type-II Dirac cones, which is different from the traditional photonic lattices with type-I Dirac cones such as honeycomb lattice. This comes about because the valley Hall edge state can possess both negative and positive dispersions, which allows the mixing of two different edge states into a vector soliton. Our results not only provide a novel avenue for manipulating topological edge states in the nonlinear regime, but also enlighten relevant research based on the lattices with type-II Dirac cones.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 12074308 and U1537210) and the Fundamental Research Funds for the Central Universities (No. xzy012019038). Work in Qatar is supported by the NPRP-11S-1126-170033 project from the Qatar National Research Fund (a member of the Qatar Foundation).

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  1. Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an, 710049, China

    Yiqing Tian, Yiqi Zhang & Yongdong Li

  2. Science Program, Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

    Milivoj R. Belić

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Tian, Y., Zhang, Y., Li, Y. et al. Vector valley Hall edge solitons in the photonic lattice with type-II Dirac cones. Front. Phys. 17, 53503 (2022). https://doi.org/10.1007/s11467-021-1149-7

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