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    Phonon-entropy-guided theoretical design of caloric cooling: PbO as a superior mechanocaloric material

    Zhiyi Xie1, Hongyu He1, Wei Liu1, Chao Wu2, Yi Tao3, Yu Wu1, Gang Zhang4, Yunfei Chen3, and Chenhan Liu1,5,*

    • *Contact author: chenhanliu@njnu.edu.cn

    Phys. Rev. Applied 26, 014006 – Published 6 July, 2026

    DOI: https://doi.org/10.1103/jw2m-dx1q

    Abstract

    Caloric cooling offers a promising solid-state alternative to conventional refrigeration. A traditional strategy to enhance cooling performance is increasing disorder-related configurational entropy change, which is a phenomenological approach and sometimes fails. Here, we establish a unified phonon-entropy framework applicable to electrocaloric, magnetocaloric, and mechanocaloric systems. By deriving analytical expressions that link entropy to the phonon density of states and mode-specific entropy, we enable mode-level tuning of caloric performance. Under this framework, we propose three key criteria for high-performance mechanocaloric cooling: high low-frequency phonon density of states, large changes in the product of density of states and mode-specific entropy, and low Young’s modulus. Accordingly, we identify PbO as a superior mechanocaloric material, which exhibits a pressure-induced entropy change nearly 2.7 times greater than TiNi, currently among the best-performing mechanocaloric materials. These findings establish a quantitative framework for phonon-entropy-driven caloric cooling and open other avenues for materials design.

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