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    Hyperuniform Networks of Active Magnetic Robotic Spinners

    Jing Wang1, Zihao Sun2, Huaicheng Chen1, Gao Wang1, Duyu Chen3, Guo Chen1,4, Jianwei Shuai5, Mingcheng Yang2,*, Yang Jiao6,7,† et al.

    Liyu Liu8,1,‡

    • *Contact author: mcyang@iphy.ac.cn
    • †Contact author: yang.jiao.2@asu.edu
    • ‡Contact author: liu@iphy.ac.cn

    Phys. Rev. Lett. 134, 248301 – Published 17 June, 2025

    DOI: https://doi.org/10.1103/z2rp-21xn

    Abstract

    Disorder hyperuniform (DHU) systems possess a hidden long-range order manifested as the complete suppression of normalized large-scale density fluctuations like crystals, which endows them with many unique properties. Here, we demonstrate a new organization mechanism for achieving stable DHU structures in active-particle systems via investigating the self-assembly of robotic spinners with threefold symmetric magnetic binding sites up to a heretofore experimentally unattained system size, i.e., with ∼1,000 robots. The spinners can self-organize into a wide spectrum of actively rotating three-coordinated network structures, among which a set of stable DHU networks robustly emerge. These DHU networks are topological transformations of a honeycomb network by continuously introducing the Stone-Wales defects, which are resulted from the competition between tunable magnetic binding and local twist due to active rotation of the robots. Our results reveal novel mechanisms for emergent DHU states in active systems and achieving novel DHU materials with desirable properties.

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