计算输运各向异性的半经典框架
Semiclassical framework for the calculation of transport anisotropies
摘要：
我们提出了一个程序，寻找精确的解的线性响应玻尔兹曼方程的二维各向异性系统，并证明它的例子非晶各向异性磁电阻的自旋轨道相互作用的系统。我们表明，两个解耦的积分方程必须解决，以找到非平衡分布函数的线性顺序在所施加的电场。所有的例子都是基于Rashba系统与带电的磁散射体，一个系统的非平衡分布函数和各向异性磁阻可以分析评估。精确的结果进行比较，早期广泛使用的近似方法。我们发现，在某些情况下，即使在定性水平上，近似方法也可能变得不可靠。
英文摘要：
We present a procedure for finding the exact solution to the linear-response Boltzmann equation for two-dimensional anisotropic systems and demonstrate it on examples of non-crystalline anisotropic magnetoresistance in a system with spin-orbit interaction. We show that two decoupled integral equations must be solved in order to find the non-equilibrium distribution function up to linear order in the applied electric field. The examples are all based on the Rashba system with charged magnetic scatterers, a system where the non-equilibrium distribution function and anisotropic magnetoresistance can be evaluated analytically. Exact results are compared to earlier widely-used approximative approaches. We find circumstances under which approximative approaches may become unreliable even on a qualitative level.
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