IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v197y2025ics0960077925004485.html

Topological linear and nonlinear gap modes in defected dimer lattice with fourth-order diffraction

Author

Listed:
  • Wang, Xiaoyang
  • Fu, Qidong
  • Huang, Changming

Abstract

In this study, we investigate the optical properties of linear and nonlinear topological in-phase, out-of-phase, and edge modes in a defected dimer lattice with fourth-order diffraction, encompassing their bifurcation characteristics, localized field distributions, and stability properties. Both focusing and defocusing nonlinearities are considered. Within the nontrivial regime, in-phase, out-of-phase, and edge modes can emerge within the gap. Numerical results reveal that three types of topological gap solitons bifurcate from their corresponding linear localized modes. The dimerization parameter can be tuned to drive the system from a trivial to a nontrivial configuration. We observe that as the strength of the fourth-order diffraction increases, the size of the spectral gap also enlarges, with this parameter effectively broadening the stability window for solitons. Our findings offer novel insights into the properties of both linear and nonlinear modes in topologically defected structures.

Suggested Citation

  • Wang, Xiaoyang & Fu, Qidong & Huang, Changming, 2025. "Topological linear and nonlinear gap modes in defected dimer lattice with fourth-order diffraction," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).
    • Handle: RePEc:eee:chsofr:v:197:y:2025:i:c:s0960077925004485
    DOI: 10.1016/j.chaos.2025.116435
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925004485
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116435?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Kartashov, Yaroslav V. & Konotop, Vladimir V., 2024. "Topological star junctions: Linear modes and solitons," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    2. Zheng Wang & Yidong Chong & J. D. Joannopoulos & Marin Soljačić, 2009. "Observation of unidirectional backscattering-immune topological electromagnetic states," Nature, Nature, vol. 461(7265), pages 772-775, October.
    3. Li, Jiawei & Zhang, Yanpeng & Zeng, Jianhua, 2022. "Dark gap solitons in one-dimensional nonlinear periodic media with fourth-order dispersion," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    4. Turgut, Melis & Bakırtaş, İlkay, 2024. "Suppression of symmetry breaking bifurcation of solitons by fourth-order diffraction in a parity-time symmetric potential," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    5. Mikael C. Rechtsman & Julia M. Zeuner & Yonatan Plotnik & Yaakov Lumer & Daniel Podolsky & Felix Dreisow & Stefan Nolte & Mordechai Segev & Alexander Szameit, 2013. "Photonic Floquet topological insulators," Nature, Nature, vol. 496(7444), pages 196-200, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yanan Wang & Hai-Xiao Wang & Li Liang & Weiwei Zhu & Longzhen Fan & Zhi-Kang Lin & Feifei Li & Xiao Zhang & Pi-Gang Luan & Yin Poo & Jian-Hua Jiang & Guang-Yu Guo, 2023. "Hybrid topological photonic crystals," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    2. Xiao-Chen Sun & Hao Chen & Hua-Shan Lai & Chu-Hao Xia & Cheng He & Yan-Feng Chen, 2023. "Ideal acoustic quantum spin Hall phase in a multi-topology platform," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    3. Ren, Boquan & Kartashov, Yaroslav V. & Wang, Hongguang & Li, Yongdong & Zhang, Yiqi, 2023. "Floquet topological insulators with hybrid edges," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    4. Kartashov, Yaroslav V., 2024. "Solitons in higher-order topological insulator created by unit cell twisting," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    5. Anton Vakulenko & Svetlana Kiriushechkina & Daria Smirnova & Sriram Guddala & Filipp Komissarenko & Andrea Alù & Monica Allen & Jeffery Allen & Alexander B. Khanikaev, 2023. "Adiabatic topological photonic interfaces," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    6. Pawel S. Jung & Georgios G. Pyrialakos & Fan O. Wu & Midya Parto & Mercedeh Khajavikhan & Wieslaw Krolikowski & Demetrios N. Christodoulides, 2022. "Thermal control of the topological edge flow in nonlinear photonic lattices," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    7. Byoung-Uk Sohn & Yue-Xin Huang & Ju Won Choi & George F. R. Chen & Doris K. T. Ng & Shengyuan A. Yang & Dawn T. H. Tan, 2022. "A topological nonlinear parametric amplifier," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    8. Lu, Chengzhen & Wen, Zengrun & Cheng, Guanhuai & Han, Zhanghua & Cai, Yangjian & Gao, Yuanmei & Zheng, Liren, 2025. "Floquet topological edge states at zigzag and twig edges of the graphenelike moiré lattice," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    9. Xing-Xiang Wang & Zhiwei Guo & Juan Song & Haitao Jiang & Hong Chen & Xiao Hu, 2023. "Unique Huygens-Fresnel electromagnetic transportation of chiral Dirac wavelet in topological photonic crystal," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    10. Weixuan Zhang & Fengxiao Di & Xingen Zheng & Houjun Sun & Xiangdong Zhang, 2023. "Hyperbolic band topology with non-trivial second Chern numbers," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    11. Simone Zanotto & Giorgio Biasiol & Paulo V. Santos & Alessandro Pitanti, 2022. "Metamaterial-enabled asymmetric negative refraction of GHz mechanical waves," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    12. Xu, Sheng & Wang, Zijing & Li, Peng & Wen, Feng & Gu, Yuzong & Liu, Renming & Wu, Zhenkun, 2025. "Topological states in a central-octagon moiré photonic lattice: Edge, corner, and floquet insulator properties," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    13. Yuze Hu & Mingyu Tong & Tian Jiang & Jian-Hua Jiang & Hongsheng Chen & Yihao Yang, 2024. "Observation of two-dimensional time-reversal broken non-Abelian topological states," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    14. Ji-Qian Wang & Zi-Dong Zhang & Si-Yuan Yu & Hao Ge & Kang-Fu Liu & Tao Wu & Xiao-Chen Sun & Le Liu & Hua-Yang Chen & Cheng He & Ming-Hui Lu & Yan-Feng Chen, 2022. "Extended topological valley-locked surface acoustic waves," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    15. Bugarski, Kolja & Maluckov, Aleksandra & Vicencio, Rodrigo A. & Johansson, Magnus, 2025. "Edge modes in strongly nonlinear saturable SSH photonic lattices: Tracing a bulk-edge correspondence through instabilities and bifurcations," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
    16. Jicai Zhang & Xiulan Liu & Tien-Dat Tran & Wenqi Xu & Wenhao Yu & Chong Zhang & Ziwen Wang & Lei Geng & Jianing Zhang & Liang-You Peng & Stanislav Yu. Kruchinin & Tran Trung Luu, 2025. "Noncollinear harmonic spectroscopy reveals crossover of strong-field effects," Nature Communications, Nature, vol. 16(1), pages 1-8, December.
    17. Lei Huang & Lu He & Weixuan Zhang & Huizhen Zhang & Dongning Liu & Xue Feng & Fang Liu & Kaiyu Cui & Yidong Huang & Wei Zhang & Xiangdong Zhang, 2024. "Hyperbolic photonic topological insulators," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    18. Shengjie Wu & Wange Song & Jiacheng Sun & Jian Li & Zhiyuan Lin & Xuanyu Liu & Shining Zhu & Tao Li, 2024. "Approaching the adiabatic infimum of topological pumps on thin-film lithium niobate waveguides," Nature Communications, Nature, vol. 15(1), pages 1-6, December.
    19. Seyed Danial Hashemi & Sunil Mittal, 2024. "Floquet topological dissipative Kerr solitons and incommensurate frequency combs," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    20. Chen, Junbo & Mihalache, Dumitru & Belić, Milivoj R. & Gao, Xuzhen & Zhu, Danfeng & Deng, Dingnan & Qiu, Shaobin & Zhu, Xing & Zeng, Liangwei, 2024. "Composite solitons in spin–orbit-coupled Bose–Einstein condensates within optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).

    More about this item

    Keywords

    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:197:y:2025:i:c:s0960077925004485. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.