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Observation of photonic anomalous Floquet topological insulators

Author

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  • Lukas J. Maczewsky

    (Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena)

  • Julia M. Zeuner

    (Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena)

  • Stefan Nolte

    (Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena)

  • Alexander Szameit

    (Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena)

Abstract

Topological insulators are a new class of materials that exhibit robust and scatter-free transport along their edges — independently of the fine details of the system and of the edge — due to topological protection. To classify the topological character of two-dimensional systems without additional symmetries, one commonly uses Chern numbers, as their sum computed from all bands below a specific bandgap is equal to the net number of chiral edge modes traversing this gap. However, this is strictly valid only in settings with static Hamiltonians. The Chern numbers do not give a full characterization of the topological properties of periodically driven systems. In our work, we implement a system where chiral edge modes exist although the Chern numbers of all bands are zero. We employ periodically driven photonic waveguide lattices and demonstrate topologically protected scatter-free edge transport in such anomalous Floquet topological insulators.

Suggested Citation

  • Lukas J. Maczewsky & Julia M. Zeuner & Stefan Nolte & Alexander Szameit, 2017. "Observation of photonic anomalous Floquet topological insulators," Nature Communications, Nature, vol. 8(1), pages 1-7, April.
  • Handle: RePEc:nat:natcom:v:8:y:2017:i:1:d:10.1038_ncomms13756
    DOI: 10.1038/ncomms13756
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    Cited by:

    1. Qiaolu Chen & Zhe Zhang & Haoye Qin & Aleksi Bossart & Yihao Yang & Hongsheng Chen & Romain Fleury, 2024. "Anomalous and Chern topological waves in hyperbolic networks," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    2. Robert-Jan Slager & Adrien Bouhon & F. Nur Ünal, 2024. "Non-Abelian Floquet braiding and anomalous Dirac string phase in periodically driven systems," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    3. Ivanov, Sergey K. & Kartashov, Yaroslav V., 2023. "π-solitons on a ring of waveguides," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    4. 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).
    5. Jing Yang & Yuanzhen Li & Yumeng Yang & Xinrong Xie & Zijian Zhang & Jiale Yuan & Han Cai & Da-Wei Wang & Fei Gao, 2024. "Realization of all-band-flat photonic lattices," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    6. 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.
    7. 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.

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