The anomalous Hall effect (AHE), typically observed in ferromagnetic (FM) metals with broken time-reversal symmetry, depends on electronic and magnetic properties. In Co₃Sn_2-xIn_xS₂, a giant AHE has been attributed to Berry curvature associated with the FM Weyl semimetal phase, yet recent studies report complicated magnetism. We use neutron scattering to determine the spin dynamics and structures as a function of x and provide a microscopic understanding of the AHE and magnetism interplay. Spin gap and stiffness indicate a contribution from Weyl fermions consistent with the AHE. The magnetic structure evolves from c-axis ferromagnetism at \(x = 0\) to a canted antiferromagnetic (AFM) structure with reduced c-axis moment and in-plane AFM order at \(x = 0.12\) and further reduced c-axis FM moment at \(x = 0.3\). Since noncollinear spins can induce non-zero Berry curvature in real space acting as a fictitious magnetic field, our results revealed another AHE contribution, establishing the impact of magnetism on transport.

反常霍尔效应 (AHE) 通常在时间反转对称性破缺的铁磁 (FM) 金属中观察到，取决于电子和磁性。在 Co ₃ Sn _{2- x} In _x S ₂中，巨大的 AHE 归因于与 FM Weyl 半金属相相关的 Berry 曲率，但最近的研究报告了复杂的磁性。我们使用中子散射来确定作为x函数的自旋动力学和结构，并提供对 AHE 和磁相互作用的微观理解。自旋间隙和刚度表明 Weyl 费米子的贡献与 AHE 一致。磁性结构从\(x = 0\)处的c轴铁磁性演变而来到倾斜的反铁磁 (AFM) 结构，在\(x = 0.12\)处减少了c轴力矩和面内 AFM 阶数，并在 \ ( x = 0.3\)处进一步减少了c轴 FM 力矩。由于非共线自旋可以在真实空间中引起非零 Berry 曲率作为虚拟磁场，我们的结果揭示了 AHE 的另一个贡献，确定了磁性对传输的影响。