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    Unlocking Hidden Topological Multistability via Biphasic Correlated Order Evolution

    Jin-Bing Wu1,*, Zhenghao Guo1,*, Baoming Shi2,*, Daoxing Luo1, Lei Zhang2,3,†, Yan-Qing Lu1, and Wei Hu1,4,‡

    • 1National Laboratory of Solid State Microstructures, Jiangsu Physical Science Research Center, College of Engineering and Applied Sciences, Nanjing University, Nanjing 210023, China
    • 2School of Mathematical Sciences, Peking University, Beijing, 100871, China
    • 3Beijing International Center for Mathematical Research, Center for Quantitative Biology, Center for Machine Learning Research, Peking University, Beijing, 100871, China
    • 4Wujin-NJU Institute of Future Technology, Changzhou 213100, China

    • *These authors contributed equally to this work.
    • †Contact author: zhangl@math.pku.edu.cn
    • ‡Contact author: huwei@nju.edu.cn

    Phys. Rev. Lett. 136, 068101 – Published 10 February, 2026

    DOI: https://doi.org/10.1103/zyy7-cm33

    Abstract

    Topological multistability reflects the complexity of structure evolution inside ordered condensed matter. For a given thermodynamic system, the actual attained stable states decline sharply compared with the theoretical anticipation, which severely restricts the diversity of the material structure and properties. Here, a biphasic correlated order evolution strategy is proposed to overcome this constraint and unlock the hidden topological multistability correspondingly. Because of the remarkably varied physical properties across the phase transition point, the energetically unfavorable transformation among topological multistable states in certain phases may become favorable at adjacent phases. The concept is demonstrated in a photopatterned liquid crystal. The sample is pressed by mechanical stress of different intensities in the smectic A phase to obtain several ordered textures of distinct topologies. After reheating to the nematic phase, these textures transform directly to nematic topological multistable states, which are unavailable as predicted by the string method. The modified Landau–de Gennes theory is adopted to disclose the behaviors and mechanisms of biphasic correlated order evolution, where the hidden topological multistability at nematic phase is achieved from corresponding ordered smectic A states due to the topology invariance and orientational order inherence across the phase transition. The different sequences for the free energy levels of multistable states at adjacent phases corresponding to the same series of topologies are further confirmed. This Letter extends our understanding of self-organized condensed matter and may drastically enrich their diverse structures with unprecedented properties.

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