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    Multifold bulk-boundary correspondence in a gyromagnetic photonic crystal

    Mian Peng1,2,*, Qiang Wei1,2,*,†, Ai-Lei He3, Zeheng Huang1,2, Weiyin Deng4,‡, Zhengyou Liu4,5, and Gang Chen1,2,§

    • 1Key Laboratory of Materials Physics of Ministry of Education, School of Physics, Zhengzhou University, Zhengzhou, China
    • 2Laboratory of Zhongyuan Light, School of Physics, Zhengzhou University, Zhengzhou 450001, China
    • 3School of Physical Science and Technology, Yangzhou University, Yangzhou 225002, China
    • 4Key Laboratory of Artificial Micro- and Nanostructures of Ministry of Education and School of Physics and Technology, Wuhan University, Wuhan 430072, China
    • 5Institute for Advanced Studies, Wuhan University, Wuhan 430072, China

    • *These authors contributed equally to this work.
    • †Contact author: qiangweiphy@163.com
    • ‡Contact author: dengwy@whu.edu.cn
    • §Contact author: chengang971@163.com

    Phys. Rev. B 112, 245411 – Published 11 December, 2025

    DOI: https://doi.org/10.1103/r19c-71t9

    Abstract

    In topological photonics, the bulk-boundary correspondence (BBC) predicts the existence of boundary states through bulk topological invariants, typical examples being quantum anomalous Hall (QAH) phases responsible for boundary optical robust transport and second-order topological phases capable of corner local field enhancement. However, achieving multifold BBC, i.e., the coexistence of first-order and higher-order topological phases in a single photonic system, remains a critical unresolved scientific question. Here, we report the first experimental observation in a gyromagnetic photonic crystal, in which the QAH phase is induced by breaking the time-reversal symmetry and the second-order topological insulator phase is protected by the fourfold rotational symmetry. The photonic chiral edge and magnetic corner modes are confirmed by measuring the field distribution. This work not only enriches the classification of topological matter, but also provides new possibilities for the application of photonic crystals in the field of low-energy information processing.

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