标题： 电子自旋散射中的新兴全纯性 显示英文标题

标题： Emerging holonomy in electron spin scattering

摘要： 通过阐明散射问题中的全息贡献和动力学贡献，我们开发了一种计算连接到两个电极的一维相干导体中电子散射矩阵的方法。 为了验证我们的方法，我们研究了在空间变化的磁场（Zeeman场）作用下沿导线的自旋分辨电子散射。 特别是，我们表明在高能极限下，传输矩阵与全息性对齐，退化为纯拓扑形式。 我们通过检查几种具有不同平面内磁场轮廓的情况来说明该方法。 例如，我们的结果表明实现近完美的自旋翻转传输是可能的，这对于自旋电子学应用具有重要意义。 显示英文摘要

摘要： By evidencing the holonomic and dynamical contributions in scattering problems, we develop a method for calculating the scattering matrix of electrons in a one-dimensional coherent conductor connected to two electrodes. To validate our approach, we investigate the spin-resolved scattering of electrons along a wire subjected to a spatially varying magnetic (Zeeman) field. In particular, we show that in the high-energy limit, the transmission matrix aligns with the holonomy, reducing to a pure topological form. We illustrate the method by examining several scenarios with varied in-plane magnetic field profiles. For instance, our results indicate the possibility of achieving near-perfect spin-flip transmission, with implications for use in spintronic applications.