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    Weak s−d orbital bonding induces strong phonon anharmonicity and unconventional mass-dependent behavior of lattice thermal conductivity in CaTiF6

    Zhunyun Tang1, Xiaoxia Wang1, Jin Li1, Chaoyu He1, Mingxing Chen2,*, Chao Tang1,†, and Tao Ouyang1,‡

    • 1School of Physics and Optoelectronics & Hunan Provincial Key Laboratory of Computational Condensed Matter Physics and Quantum Materials Engineering, Xiangtan University, Xiangtan 411105, Hunan, China
    • 2School of Physics and Electronics, Hunan Normal University, Changsha 410081, Hunan, China

    • *Contact author: mxchen@hunnu.edu.cn
    • †Contact author: tang_chao@xtu.edu.cn
    • ‡Contact author: ouyangtao@xtu.edu.cn

    Phys. Rev. Materials 9, 093401 – Published 19 September, 2025

    DOI: https://doi.org/10.1103/ybjz-t8q1

    Abstract

    In this study, we constructed an efficient framework based on phonon self-consistent theory and unified transport theory combined with machine learning potential, and systematically reveal some interesting lattice dynamics in simple transition metal halide crystals CaXF6 (X = Ti, Zr, Hf) with cubic structures. Although CaTiF6 exhibits a lighter average atomic mass, its lattice thermal conductivity is lower than that of CaZrF6 and CaHfF6. Such behavior is in contrast to the conventional Keyes theory that typically associates light atomic systems with higher thermal conductivity. Further analysis indicates that this deviation from the expected mass-dependent behavior stems from the stronger anharmonic scattering induced by the weaker s−d orbital bonding in the Ti-F bond. Notably, the rotating mode vibrations in the soft phonon dispersion curves of CaTiF6 exhibit a double-potential-well, and lead to more pronounced quartic residuals (quartic anharmonicity). As a result, the strong four-phonon scattering reduces the room-temperature thermal conductivity of CaTiF6 by 59%, a suppression markedly stronger than in the Zr and Hf systems. Moreover, the stronger anharmonic scattering (including three- and four-phonon processes) induces substantial coherent phonons in CaTiF6, resulting in the wave-like coherent thermal conductivity even exceeding the particle-like propagate thermal conductivity at high temperatures (>700 K). Our results not only deepen the fundamental understanding of the lattice dynamics in transition metal halides but also provide new perspectives for designing thermal management devices with desirable thermal transport properties.

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