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Scale-tailored localization and its observation in non-Hermitian electrical circuits

Author

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  • Cui-Xian Guo

    (Chinese Academy of Sciences
    China University of Petroleum-Beijing
    China University of Petroleum-Beijing)

  • Luhong Su

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Yongliang Wang

    (Chinese Academy of Sciences)

  • Li Li

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Jinzhe Wang

    (Chinese Academy of Sciences)

  • Xinhui Ruan

    (Chinese Academy of Sciences
    Tsinghua University)

  • Yanjing Du

    (Chinese Academy of Sciences)

  • Dongning Zheng

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences
    Hefei National Laboratory)

  • Shu Chen

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Haiping Hu

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

Abstract

Anderson localization and non-Hermitian skin effect are two paradigmatic wave localization phenomena, resulting from wave interference and the intrinsic non-Hermitian point gap, respectively. In this study, we unveil a novel localization phenomenon associated with long-range asymmetric coupling, termed scale-tailored localization, where the number of induced localized modes and their localization lengths scale exclusively with the coupling range. We show that the long-range coupling fundamentally reshapes the energy spectra and eigenstates by creating multiple connected paths on the lattice. Furthermore, we present experimental observations of scale-tailored localization in non-Hermitian electrical circuits utilizing adjustable voltage followers and switches. The circuit admittance spectra possess separate point-shaped and loop-shaped components in the complex energy plane, corresponding respectively to skin modes and scale-tailored localized states. Our findings not only expand and deepen the understanding of peculiar effects induced by non-Hermiticity but also offer a feasible experimental platform for exploring and controlling wave localizations.

Suggested Citation

  • Cui-Xian Guo & Luhong Su & Yongliang Wang & Li Li & Jinzhe Wang & Xinhui Ruan & Yanjing Du & Dongning Zheng & Shu Chen & Haiping Hu, 2024. "Scale-tailored localization and its observation in non-Hermitian electrical circuits," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-53434-8
    DOI: 10.1038/s41467-024-53434-8
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    References listed on IDEAS

    as
    1. Deyuan Zou & Tian Chen & Wenjing He & Jiacheng Bao & Ching Hua Lee & Houjun Sun & Xiangdong Zhang, 2021. "Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits," Nature Communications, Nature, vol. 12(1), pages 1-11, December.
    2. Kai Zhang & Zhesen Yang & Chen Fang, 2022. "Universal non-Hermitian skin effect in two and higher dimensions," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    3. Linhu Li & Ching Hua Lee & Sen Mu & Jiangbin Gong, 2020. "Critical non-Hermitian skin effect," Nature Communications, Nature, vol. 11(1), pages 1-8, December.
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