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    Microwave Signature of the Emerging Abrikosov Lattice above Hc2

    Hang Zhou1,*, Zhanghai Chen1, A. A. Varlamov2,1,†, Andreas Glatz3,4, and Yuriy Yerin5,‡

    • *Contact author: hangzhou@xmu.edu.cn
    • †Contact author: andrey.varlamov@spin.cnr.it
    • ‡Contact author: yuriyyerin@gmail.com

    Phys. Rev. Lett. 137, 036001 – Published 16 July, 2026

    DOI: https://doi.org/10.1103/j8wg-6d9d

    Abstract

    The emergence of the Abrikosov lattice in the normal phase of type-II superconducting films as the magnetic field approaches the critical field Hc2 from above was predicted in Glatz et al. [Fluctuation spectroscopy of disordered two-dimensional superconductors, Phys. Rev. B 84, 104510 (2011)]. In the quantum fluctuation regime [Galitski and Larkin, Superconducting fluctuations at low temperature, Phys. Rev. B 63, 174506 (2001)], it is characterized by the formation of relatively large (ξQF∼ξBCS/h˜, h˜=H/Hc2−1) and long-lived (τQF∼τΔ/h˜, τΔ=ℏ/Δ) clusters of rotating fluctuation Cooper pairs, representing precursors of Abrikosov vortices. We show that these fluctuation-induced vortex clusters can be detected through their high-frequency electromagnetic response. Specifically, they produce a pronounced enhancement of the imaginary part of the ac conductivity at characteristic frequencies ωQF∼h˜/τΔ, arising directly from quantum fluctuations, being well below the superconducting threshold at 2/τΔ. For niobium, ωQF falls within the experimentally accessible microwave range, making this effect directly testable using modern microwave spectroscopy.

    Physics Subject Headings (PhySH)

    Corrections

    28 August, 2026

    Correction: The author list in Ref. [33] was incorrect and has been fixed.

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