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    ac strain based thermodynamic criterion for vortex lattice in type-II superconductors

    Peipei Lu1,2,*, Mengju Yuan1,*, Jing Zhang1, Qiang Gao3, Shuang Liu4, Yugang Zhang1, Shipeng Shen3, Long Zhang1, Jun Lu3 et al.

    Xiaoyuan Zhou4, Mingquan He1, Aifeng Wang1, Yang Li3,5, Wenshan Hong3, Shiliang Li3, Huiqian Luo3, Xingjiang Zhou3, Xianhui Chen6, Young Sun3,4,†, and Yisheng Chai1,4,‡

    • *These authors contributed equally to this work.
    • †Contact author: youngsun@cqu.edu.cn
    • ‡Contact author: yschai@cqu.edu.cn

    Phys. Rev. B 113, 224512 – Published 9 June, 2026

    DOI: https://doi.org/10.1103/gl5n-cc1n

    Abstract

    We report a dynamic magnetostrictive effect in type-II superconductors (e.g., Nb, YBa2Cu3O7−x, Bi2Sr2CaCu2O8+δ and Ba0.6K0.4Fe2As2) and any type-II superconductor is expected to present a similar response to this new technique. Measured via a composite magnetoelectric technique, an ac field excites an in-phase, nondissipative strain response scaling linearly with vortex density in the vortex lattice phase. In the vortex liquid phase, the signal acquires an out-of-phase component before vanishing in the normal state. We propose the ac strain susceptibility a thermodynamic criterion for the vortex lattice, capturing vortex collective modes inaccessible from static measurements.

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