We apply the recently developed embedding scheme for the locally self-consistent method to random disorder electrons systems. The method is based on the locally self-consistent multiple scattering theory and the typical medium theory. The locally self-consistent multiple scattering theory divides a system into many small designated local interaction zones. The subsystem within each local interaction zone is embedded in a self-consistent field from the typical medium theory. This approximation allows the study of random systems with large numbers of sites. We present results for the three dimensional Anderson model with different random disorder potential distributions. Using the typical density of states as an indicator of Anderson localization, we find that the method can capture the localization for commonly studied disorder potentials. These include the uniform distribution, the Gaussian distribution, and even the unbounded Cauchy distribution.

我们将最近开发的嵌入方案用于局部自洽方法应用于随机无序电子系统。该方法基于局部自洽多重散射理论和典型介质理论。局部自洽多重散射理论将系统划分为许多小的指定局部相互作用区域。根据典型的介质理论，每个局部交互区域内的子系统都嵌入在一个自洽场中。这种近似允许研究具有大量站点的随机系统。我们提出了具有不同随机障碍电位分布的三维安德森模型的结果。使用典型的状态密度作为安德森定位的指标，我们发现该方法可以捕获经常研究的潜在疾病的定位。