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    Spin-triplet pairing instability in a two-dimensional repulsive Hubbard model

    Xing-Can Liu1,2, Yu-Feng Song2,3, Yuan-Yao He2,4,5,6,*, Tao Ying1,†, and Xueru Zhang1,‡

    • 1School of Physics, Harbin Institute of Technology, Harbin 150001, China
    • 2Institute of Modern Physics, Northwest University, Xi'an 710127, China
    • 3Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
    • 4Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China
    • 5Peng Huanwu Center for Fundamental Theory, Xian 710127, China
    • 6Hefei National Laboratory, Hefei 230088, China

    • *Contact author: heyuanyao@nwu.edu.cn
    • †Contact author: taoying86@hit.edu.cn
    • ‡Contact author: xrzhang@hit.edu.cn

    Phys. Rev. A 112, 053323 – Published 21 November, 2025

    DOI: https://doi.org/10.1103/9552-rz3h

    Abstract

    The search for superconductivity with unconventional pairing symmetry has been a central focus in the study of strongly correlated electron systems. In this work, we report a numerically exact study of the spin-triplet pairing in a two-dimensional Hubbard model with repulsive interactions, employing the determinant quantum Monte Carlo method. The model includes next-nearest-neighbor and third-nearest-neighbor hopping terms and maintains spin balance. By tuning the fermion filling close to a type-II Van Hove singularity (VHS) in the model, we numerically investigate the ordering tendencies of several possible pairing channels with different symmetries. Our numerical results provide clear evidence of the spin-triplet p-wave pairing instability approaching low temperatures, as revealed by the vertex contribution to the pairing susceptibility. This signature becomes increasingly pronounced as the interaction strength increases in the weak to intermediate regime. We further find that, near the type-II VHS, the dominant spin-spin correlations in the system are ferromagnetic, suggesting its close relation to the spin-triplet pairing instability. Our findings offer a reliable approach to realize spin-triplet p-wave superfluidity in the repulsive Hubbard model from an unbiased numerical perspective.

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