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Observation of higher-order non-Hermitian skin effect

Author

Listed:
  • Xiujuan Zhang

    (National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University)

  • Yuan Tian

    (National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University)

  • Jian-Hua Jiang

    (School of Physical Science and Technology, and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University)

  • Ming-Hui Lu

    (National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University
    Collaborative Innovation Center of Advanced Microstructures, Nanjing University)

  • Yan-Feng Chen

    (National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University
    Collaborative Innovation Center of Advanced Microstructures, Nanjing University)

Abstract

Beyond the scope of Hermitian physics, non-Hermiticity fundamentally changes the topological band theory, leading to interesting phenomena, e.g., non-Hermitian skin effect, as confirmed in one-dimensional systems. However, in higher dimensions, these effects remain elusive. Here, we demonstrate the spin-polarized, higher-order non-Hermitian skin effect in two-dimensional acoustic higher-order topological insulators. We find that non-Hermiticity drives wave localizations toward opposite edges upon different spin polarizations. More interestingly, for finite systems with both edges and corners, the higher-order non-Hermitian skin effect leads to wave localizations toward two opposite corners for all the bulk, edge and corner states in a spin-dependent manner. We further show that such a skin effect enables rich wave manipulation by configuring the non-Hermiticity. Our study reveals the intriguing interplay between higher-order topology and non-Hermiticity, which is further enriched by the pseudospin degree of freedom, unveiling a horizon in the study of non-Hermitian physics.

Suggested Citation

  • Xiujuan Zhang & Yuan Tian & Jian-Hua Jiang & Ming-Hui Lu & Yan-Feng Chen, 2021. "Observation of higher-order non-Hermitian skin effect," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-25716-y
    DOI: 10.1038/s41467-021-25716-y
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    Cited by:

    1. Guoqiang Xu & Xue Zhou & Shuihua Yang & Jing Wu & Cheng-Wei Qiu, 2023. "Observation of bulk quadrupole in topological heat transport," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    2. Quan Lin & Wei Yi & Peng Xue, 2023. "Manipulating directional flow in a two-dimensional photonic quantum walk under a synthetic magnetic field," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    3. Zhongming Gu & He Gao & Haoran Xue & Jensen Li & Zhongqing Su & Jie Zhu, 2022. "Transient non-Hermitian skin effect," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    4. Qiuyan Zhou & Jien Wu & Zhenhang Pu & Jiuyang Lu & Xueqin Huang & Weiyin Deng & Manzhu Ke & Zhengyou Liu, 2023. "Observation of geometry-dependent skin effect in non-Hermitian phononic crystals with exceptional points," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    5. Zhen Li & Li-Wei Wang & Xulong Wang & Zhi-Kang Lin & Guancong Ma & Jian-Hua Jiang, 2024. "Observation of dynamic non-Hermitian skin effects," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    6. Peng Xue & Quan Lin & Kunkun Wang & Lei Xiao & Stefano Longhi & Wei Yi, 2024. "Self acceleration from spectral geometry in dissipative quantum-walk dynamics," Nature Communications, Nature, vol. 15(1), pages 1-11, December.

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