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    Nearly topological flat bands in d−wave altermagnets

    Xu-Hui Yan1, Dong-Hao Guan2, Ying Han1,*, Lu Qi1,3, and Ai-Lei He1,3,†

    • *Contact author: hany@yzu.edu.cn
    • †Contact author: heailei@yzu.edu.cn

    Phys. Rev. B 114, 185112 – Published 11 September, 2026

    DOI: https://doi.org/10.1103/lztj-bt1h

    Abstract

    Altermagnets, collinear antiferromagnets with vanishing net magnetization yet momentum-dependent spin splitting, open a new route to topology and strong correlations. In this work, we propose a general framework to construct nearly topological flat-band (TFB) models in d-wave altermagnets via stacking bilayer Chern insulators with spin flip and intralayer rotation. This framework is concretely realized on altermagnetic checkerboard and Lieb lattices. By tuning hopping parameters, we obtain TFBs with a flatness ratio exceeding 10, whose topology is fully captured by the spin Chern number. These altermagnetic TFB models support a stable fractional quantum spin Hall state, thereby realizing the coexistence of altermagnetic symmetry and topological order. Our work not only provides a unified scheme for constructing altermagnetic TFB models but also establishes a platform for exploring fractionalization in altermagnetic materials.

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