梯度展开中的非阿贝尔规范场：广义Boltzmann和Eilenberger方程
Non-Abelian gauge fields in the gradient expansion: generalized Boltzmann and Eilenberger equations
摘要：
本文对非相对论性无序费米气体在非阿贝尔规范下的广义Boltzmann和Eilenberger方程进行了微观推导。实现了电荷$[U(1)]$和自旋$[SU(2)]$自由度的统一和对称处理。在这个框架内，正如$U(1)$洛伦兹力产生霍尔效应一样，它的对应物$SU(2)$也产生自旋霍尔效应。考虑到弹性和自旋无关的障碍，我们得到的电荷和自旋密度的扩散方程，并显示如何在平面内的磁场和时间相关的Rashba项之间的相互作用产生面内电荷电流。
英文摘要：
We present a microscopic derivation of the generalized Boltzmann and Eilenberger equations in the presence of non-Abelian gauges, for the case of a non-relativistic disordered Fermi gas. A unified and symmetric treatment of the charge $[U(1)]$ and spin $[SU(2)]$ degrees of freedom is achieved. Within this framework, just as the $U(1)$ Lorentz force generates the Hall effect, so does its $SU(2)$ counterpart give rise to the spin Hall effect. Considering elastic and spin-independent disorder we obtain diffusion equations for charge and spin densities and show how the interplay between an in-plane magnetic field and a time dependent Rashba term generates in-plane charge currents.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
