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Valley Hall edge solitons in honeycomb lattice with an armchair-type domain wall

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Abstract

Thanks to the topological protection, photonic topological edge states can move along the edges of photonic crystals without radiating into the bulk or reflecting when encountering disorders or defects. The valley Hall effect helps obtain topological edge states without breaking the time-reversal symmetry but breaking the inversion symmetry of the system, which means that the valley Hall edge state is independent of the magnetic field. Thus, with two inversion symmetry-broken photonic lattices, a domain wall that supports valley Hall edge states can be established. Generally, the zigzag-type domain wall is likely to support topological valley Hall edge states. However, in this work we investigate the valley Hall edge state on the armchair-type domain wall in a honeycomb lattice and demonstrate that armchair-type valley Hall edge states can also circumvent sharp corners with tiny reflection. The armchair-type domain wall, with the refractive index change being staggered, supports not only the bright but also the dark valley Hall edge solitons, and even the vector valley Hall edge solitons. Our results deepen the understanding of topological valley Hall edge states on different types of domain walls and may find applications in developing techniques of manipulating light fields for fabricating on-chip optical functional devices.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 12074308,U1537210) and the Fundamental Research Funds for the Central Universities (Nos. xzy012019038). M. R. B. acknowledges support from the NPRP 11S-1126-170033 project from the Qatar National Research Fund.

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  1. Ministry of Education Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi’an Jiaotong University, No. 28 Xianning West Road, Xi’an, 710049, Shaanxi Province, China

    Qian Tang

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

    Milivoj R. Belić

  3. Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, School of Electronic Science and Engineering, Xi’an Jiaotong University, No. 28 Xianning West Road, Xi’an, 710049, Shaanxi Province, China

    Yi Qi Zhang, Yan Peng Zhang & Yong Dong Li

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Tang, Q., Belić, M.R., Zhang, Y.Q. et al. Valley Hall edge solitons in honeycomb lattice with an armchair-type domain wall. Nonlinear Dyn 108, 1573–1583 (2022). https://doi.org/10.1007/s11071-021-07193-6

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