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    Anisotropic symmetric Γ̂ interaction induced magnon D'yakonov-Perel' and Elliott-Yafet spin relaxation in two-dimensional antiferromagnets

    Yating Hu1,2,3, X. Wan1,2,4,5, Sergey Y. Savrasov1,6, and Yiqun Liu7,*

    • *Contact author: liuyiqun@mail.bnu.edu.cn

    Phys. Rev. B 113, 024437 – Published 28 January, 2026

    DOI: https://doi.org/10.1103/1wgf-d8fp

    Abstract

    In collinear antiferromagnetic insulators, the Dzyaloshinskii-Moriya interaction and dipolar interaction can induce spin-orbit fields and influence magnon spin transport behavior. Beyond these mechanisms, we propose that the symmetric Γ̂ interaction can also couple the spin-degenerate magnon modes as an effective spin-orbit field. To investigate the effect of Γ̂ interaction on spin relaxation, we construct the magnon kinetic equations by self-consistently incorporating all relevant magnon-magnon scattering processes arising from both the isotropic exchange J interaction and the symmetric Γ̂ interaction. Numerical solutions reveal that the momentum-dependent effective spin-orbit field induced by the Γ̂ interaction leads to inhomogeneous broadening and results in D'yakonov-Perel' type spin relaxation. Moreover, emergent scattering channels generated by the Γ̂ interaction partially exhibit the Elliott-Yafet characteristics, which become more pronounced in strongly anisotropic crystals. Our results provide theoretical support for magnon spin dynamics in antiferromagnetic insulators and offer potential guidance for the design of spintronic devices.

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