论文标题
考虑语音介导的超导体的延迟效应
Efficient ab initio Migdal-Eliashberg calculation considering the retardation effect in phonon-mediated superconductors
论文作者
论文摘要
考虑到第一原理的延迟效应，我们制定了有效的方案，以执行Migdal-EliAshberg计算。尽管常规方法需要大量的Matsubara频率，但我们表明绿色功能的中间表示[H. Shinaoka等人，物理。 Rev. B 96，035147（2017）]大幅度降低了求解线性差距方程的数值成本。在不引入任何经验参数的情况下，我们证明我们可以非常准确地重现元素NB（$ \ sim 10 $ k）的实验性超导过渡温度。目前的结果表明，我们的方法对许多超导体具有卓越的性能，$ t _ {\ rm c} $低于$ {\ Mathcal O}（10）$ K
We formulate an efficient scheme to perform Migdal-Eliashberg calculation considering the retardation effect from first principles. While the conventional approach requires a huge number of Matsubara frequencies, we show that the intermediate representation of the Green's function [H. Shinaoka et al., Phys. Rev. B 96, 035147 (2017)] dramatically reduces the numerical cost to solve the linearized gap equation. Without introducing any empirical parameter, we demonstrate that we can successfully reproduce the experimental superconducting transition temperature of elemental Nb ($\sim 10$ K) very accurately. The present result indicates that our approach has a superior performance for many superconductors for which $T_{\rm c}$ is lower than ${\mathcal O}(10)$ K
