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    Decoupling the Compositional Fluctuation Theory and Polar Nanoregions in Relaxor Ferroelectric Films

    Feng-Hui Gong1,2,*, Yu-Ting Chen1,2,*, Kang-Ming Luo3,4,*, Hua-Long Ge5, Tao Wang6, Yun-Long Tang3,4, Jia-Qi Liu3,4, Yu-Jia Wang3,4, Yin-Lian Zhu1,7 et al.

    Xiu-Liang Ma1,2,8,9,†

    • *These authors contributed equally to this work.
    • †Contact author: xlma@iphy.ac.cn

    Phys. Rev. Lett. 136, 046801 – Published 26 January, 2026

    DOI: https://doi.org/10.1103/5p94-jpz7

    Abstract

    The existence of polar nanoregions (PNRs) endows relaxor ferroelectrics with peculiar behaviors, which is explained using the compositional fluctuation theory (CFT). Here, by designing relaxor ferroelectric films with the same configurational entropy (Sconfig), namely ATiO3 and PbBO3, we show that the compositional heterogeneity is not a prerequisite for PNR formation. Transmission electron microscope experiments show that PNRs exist in both cubic films, and only the PbBO3 film shows remarkable compositional fluctuation, i.e., the formation of PNRs in ATiO3 is not related with the CFT. First-principles calculations indicate that while the mixing enthalpies of element pairs in ATiO3 are generally close to 0, resulting in a nearly homogeneous compositional distribution, those of some element pairs in PbBO3 are large negative values, indicating that the compositional fluctuation is rooted in the large negative mixing enthalpy. This Letter offers a new perspective on the CFT in relaxor ferroelectrics.

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