自旋电子学技术中的非阿贝尔规范场效应及其与自旋粒子动力学的关系
Non-Abelian gauge field effects and its relevance to spinning particle dynamics in the technology of spintronics
摘要：
本文将具有自旋轨道效应的凝聚态系统中自旋矢量关于k空间有效磁场的进动形式化地描述为电子波函数的局域变换，这种局域变换必然需要SU（2）变换规则来保证协变性。我们证明了自旋规范场对自旋粒子运动产生影响的先决条件是“无旋进”。自旋规范场对自旋粒子运动的影响在经典图像和量子图像中都表现出一致性，从而为反常Hall、自旋Hall、自旋矩、光学马格努斯、几何量子计算中的重要效应提供了理论解释.
英文摘要：
We describe formally the precession of spin vector about the k-space effective magnetic field in condensed matter system with spin orbital effects as constituting a local transformation of the electron wavefunction which necessarily invokes the SU(2) transformation rule to ensure covariance. We showed a "no-precession" condition as pre-requisite for the spin gauge field to exert its influence on spin particle motion. The effects of the spin gauge field on spin particle motion were shown to be consistent in both classical and quantum pictures, which hence should underpin theoretical explanations for important effects in anomalous Hall, spin Hall, spin torque, optical Magnus, geometric quantum computation.
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