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arXiv 1503.01014cond-mat.supr-con
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磁场中超导性的从头算理论II。:数值解

Ab-Initio Theory of Superconductivity in a Magnetic Field II. : Numerical solution

A. Linscheid, A. Sanna, E. K. U. Gross

摘要:

我们数值研究了超导体的自旋密度泛函理论(SpinSCDFT)和近似的交换关联泛函,它们是在前一篇论文I中导出和提出的。作为一个测试系统,我们采用了自由电子气体具有交换分裂,声子配对场和库仑排斥。SpinSCDFT的结果进行了比较Sarma,的Barnes-Cooper和Schrieffer理论和Eliashberg型的方法。我们发现,超导Kohn-Sham SpinSCDFT系统的谱与真实的准粒子结构不一致。因此,从Dyson方程出发,我们导出了一个方案,该方案允许计算超导体的多体激发,并代表了能带结构理论中的G 0 W 0方法对超导性的扩展。这种超导G 0 W 0方法大大提高了预测的光谱。

英文摘要:

We numerically investigate the Spin Density Functional theory for superconductors (SpinSCDFT) and the approximated exchange-correlation functional, derived and presented in the preceding paper I. As a test system we employ a free electron gas featuring an exchange-splitting, a phononic pairing field and a Coulomb repulsion. SpinSCDFT results are compared with Sarma, the Bardeen Cooper and Schrieffer theory and with an Eliashberg type of approach. We find that the spectrum of the superconducting Kohn-Sham SpinSCDFT system is not in agreement with the true quasi particle structure. Therefore, starting from the Dyson equation, we derive a scheme that allows to compute the many body excitations of the superconductor and represents the extension to superconductivity of the G0W0 method in band structure theory. This superconducting G0 W0 method vastly improves the predicted spectra.

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。

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