The flexomagnetic effect involves the coupling of inhomogeneous mechanical and magnetic excitations to generate exotic spin orders. The intrinsic edge stress associated with lifting of periodic degeneracy at surfaces or edges in nanostructures facilitates the flexocoupling effects. Here, we combine first-principles calculation and Maximum Information Coefficient (MIC) statistics to quantitatively reveal the impact of bending on the geometries, spin ordering state, and exchange interactions in chromium triiodide (CrI₃) nanoribbons. Our results reveal a divergent magnetic ground state at small curvature but a plumb line shape noncollinear state at large curvatures. More importantly, our work establishes a gradient dependence of the exchange coupling on the locally asymmetric bending angles of the Cr-I-Cr hinge, governed by the coupling of the t_2g and e_g states of Cr. The superexchange gradient accompanied with the bending-induced inhomogeneous deformation sheds light on the evolution of magnetic ordering associated with asymmetric coordinating systems for sensors and spintronics.

柔磁效应涉及非均匀机械和磁激发的耦合，以产生奇异的自旋阶数。与纳米结构中表面或边缘的周期性退化提升相关的固有边缘应力促进了柔性耦合效应。在这里，我们结合第一性原理计算和最大信息系数 (MIC) 统计来定量揭示弯曲对三碘化铬 (CrI 3) 的几何结构、自旋有序状态和交换相互作用的_影响）纳米带。我们的结果揭示了小曲率处的发散磁基态，但大曲率处的铅垂线形状非共线状态。更重要的是，我们的工作建立了交换耦合对 Cr-I-Cr 铰链局部不对称弯曲角的梯度依赖性，由Cr的t _2g和e _{g状态的耦合控制。}伴随弯曲引起的不均匀变形的超交换梯度揭示了与传感器和自旋电子学的不对称协调系统相关的磁有序的演变。