Owing to geometrical frustration in the kagome lattice, Mn₃Sn displays a 120° in-plane triangular antiferromagnetic order, a manifestation of exchange interaction within the Heisenberg model. Here, we show the formation of a tunable noncoplanar magnetic ground state stabilized by higher-order exchange interactions in electron-doped Mn₃Sn samples. Our density Functional Theory calculations reveal that the higher-order exchange induces a partial out-of-plane alignment of the Mn moments, resulting in a canted magnetic state, further experimentally confirmed by neutron diffraction study along with 60 T magnetic and Hall resistivity measurements. Interestingly, we find a large scalar spin chirality-induced Hall signal depending on the degree of non-coplanarity of the Mn moments. Additionally, we demonstrate simultaneous manipulation of two-component order-parameter in the system, where the two Hall signals can be independently manipulated. The present study explores the quantum phenomena associated with the coexistence of multiple magnetic orders and their prospective use in spintronic devices.

由于戈薇晶格中的几何挫败，Mn ₃ Sn 显示出 120° 面内三角反铁磁序，这是海森堡模型内交换相互作用的表现。在这里，我们展示了电子掺杂的 Mn ₃ Sn 样品中通过高阶交换相互作用稳定的可调谐非共面磁性基态的形成。我们的密度泛函理论计算表明，高阶交换会引起 Mn 矩的部分面外排列，从而产生倾斜的磁态，这一点通过中子衍射研究以及 60 T 磁电阻率和霍尔电阻率测量进一步得到实验证实。有趣的是，我们发现一个大标量自旋手性引起的霍尔信号取决于 Mn 矩的非共面程度。此外，我们还演示了系统中两分量阶次参数的同时操纵，其中两个霍尔信号可以独立操纵。本研究探讨了与多个磁序共存相关的量子现象及其在自旋电子器件中的预期用途。