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    Superconductivity Reinforces Charge-Density-Wave Phase Coherence across Cuprates

    H. Lee1,*,†, C.-T. Kuo1,*, M. Fujita2, C.-C. Kao1,3, and J.-S. Lee1,‡

    • *These authors contributed equally to this work.
    • †Contact author: heemin@slac.stanford.edu
    • ‡Contact author: jslee@slac.stanford.edu

    Phys. Rev. Lett. 136, 186502 – Published 7 May, 2026

    DOI: https://doi.org/10.1103/g41t-8456

    Abstract

    For decades, superconductivity in high-Tc cuprates has been viewed as a competitor that suppresses charge-density-wave (CDW) order by reducing its amplitude and spatial extent. Here, we show that this picture is incomplete, as superconductivity is accompanied by a systematic enhancement of CDW phase coherence across multiple cuprate families. Using resonant soft x-ray scattering combined with a coherence-sensitive momentum-profile analysis, we uncover a BCS-like growth of phase coherence below Tc, which phenomenologically manifests as the absence of CDW peak broadening and near-perfect wave-vector locking. This enhancement remains visible even in a disorder-dominated regime created by long-term crystal aging and follows a common trend when compared with published data on Bi-, Hg-, Y-, and Nd-based cuprates. These results indicate that superconductivity reshapes CDW order in two distinct ways, suppressing its amplitude while strengthening its phase coherence, and reveal an additional phase-level interplay with lattice coupling in high-Tc cuprates.

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