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Experimental Realization of Synthetic π-Flux Photonic Crystals

Renwen Huang1,2,*, Haotian Li1,2,*, Shiyin Jia1,2, Junzheng Hu1,2, Shiqi Li1,2, Jing Li3, Biye Xie3,†, Minghui Lu1,4,‡, Peng Zhan1,2,5,§ et al.

Yanfeng Chen1,2 and Zhenlin Wang1,2

  • *These authors contributed equally to this work.
  • †Contact author: xiebiye@cuhk.edu.cn
  • ‡Contact author: luminghui@nju.edu.cn
  • §Contact author: zhanpeng@nju.edu.cn

Phys. Rev. Lett. 135, 216603 – Published 18 November, 2025

DOI: https://doi.org/10.1103/s4vq-hyck

Abstract

The concept of flux in quantum physics is connected to many intriguing phenomena such as the Aharonov-Bohm effect and Hofstadter butterfly. Particularly, flux in lattices with certain symmetries gives rise to many unprecedented phases of matter. Here, we report the experimental realization of two-dimensional photonic crystals featuring diverse synthetic π-flux patterns, achieved through harnessing the higher-orbital degree of freedom within confined-Mie-resonance photonic crystals. As a proof of concept, we fabricate two types of π-flux photonic crystals, and show that novel topological phases can emerge with peculiar optical effects, including a topological edge state with 4π-period phase evolution, as well as two pairs of topological states which are localized at opposite boundaries but related by a nonlocal twist. These signatures characterize unambiguously a photonic Möbius insulator [an insulator with topological edge states with a 4π-periodic sideband junction (like a Möbius ring)] and a momentum-space-nonsymmorphic symmetry characterized insulator, which remain experimentally unexplored to date. Our Letter opens the frontiers to explore the underlying physics between synthetic π-flux and photonic crystals.

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