Chebyshev-BdG：非均匀超导的一种有效数值方法
Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity
摘要：
本文提出了一种描述非均匀超导性的高效数值方法，利用核多项式方法计算超导体的格林函数。任何类型（杂质、表面或磁场）的破缺平移不变性都可以很容易地合并。我们表明，由于系统大小的限制可以很容易地规避，因此，这种方法开辟了研究的情况下和/或几何形状，以前无法访问的方式。该方法效率高，适合大规模并行计算。虽然我们只在超导性的上下文中使用它，但它也适用于其他非均匀平均场论。
英文摘要：
We propose a highly efficient numerical method to describe inhomogeneous superconductivity by using the kernel polynomial method in order to calculate the Green's functions of a superconductor. Broken translational invariance of any type (impurities, surfaces or magnetic fields) can be easily incorporated. We show that limitations due to system size can be easily circumvented and therefore this method opens the way for the study of scenarios and/or geometries that were unaccessible before. The proposed method is highly efficient and amenable to large scale parallel computation. Although we only use it in the context of superconductivity, it is applicable to other inhomogeneous mean-field theories.
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