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    Orbital-selective superconductivity via interlayer electron transfer in the two-dimensional borides MB3 (M=Mg, Al, Ca, Sc, Y, and In)

    Shengnan Bi, Fei Li*, and Guochun Yang†

    • State Key Laboratory of Metastable Materials Science & Technology and Hebei Key Laboratory of Microstructural Material Physics, School of Science, Yanshan University, Qinhuangdao 066004, China

    • *Contact author: lifei718@ysu.edu.cn
    • †Contact author: yanggc468@nenu.edu.cn

    Phys. Rev. B 113, 014511 – Published 20 January, 2026

    DOI: https://doi.org/10.1103/df4q-m1d3

    Abstract

    Superconductivity in layered metal borides originates from strong coupling between σ-bonding electrons and in-plane phonon modes. Herein, we demonstrate that layer-resolved σ-orbital occupancy governs the superconducting behavior of two-dimensional C (M=Mg, Al, Ca, Sc, Y, and In). The inequivalent chemical environments of the threefold-coordinated B1 layer and sixfold-coordinated B2 layer induce different degrees of charge transfer, resulting in layer-dependent σ-orbital filling. Partially filled B1 σ orbitals provide the fundamental electron-phonon coupling across the designed structures, whereas filling states of B2 σ orbitals dictates the variation of Tc. When B2 σ orbitals remain partially filled, both boron layers contribute cooperatively to electron-phonon coupling, yielding Tc values above 30 K in CaB3, InB3, and MgB3. In contrast, saturation of the B2 σ orbital drives charge redistribution toward B1 layers, suppressing B2 contribution and lowering Tc below 15 K in YB3, ScB3, and AlB3. These results identify orbital-selective σ-band occupancy, mediated by layer-specific charge transfer, as a microscopic principle for tuning superconductivity in boride materials.

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