Abstract

A theoretical methodology for exploring the conventional Bardeen–Cooper–Schrieffer (BCS) pairing instability for superconductivity from a correlated normal phase for all possible degrees of many-body correlation has been developed. The Gutzwiller projection scheme with a correlation parameter was made use of in generating the BCS pairing state. A variational scheme was thereafter implemented, leading to a self-consistent equation for superconducting gap function. This equation shows explicit dependence of the gap function on the many body correlation parameter. This ‘pairing-gap’ and the corresponding self-consistent gap equation in zero correlation limit, becomes identical in nature with those of the pure (1-well) BCS formalism, as expected and the Coulomb correlation affects the pairing significantly with the strength of correlation. The detailed consequences are being presented here.

Graphic Abstract

中文翻译：

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玻色子交换超导体中配对相关和库仑相关的相互作用

摘要

对于多体相关的所有可能程度，已经开发了一种理论方法论，可以从相关正相中探索超导性的常规Bardeen-Cooper-Schrieffer（BCS）配对不稳定性。在生成BCS配对状态时使用具有相关参数的Gutzwiller投影方案。此后实施了变分方案，从而得出了超导间隙函数的自洽方程。该方程式显示了间隙函数对多体相关参数的显式依赖。正如预期的那样，该“配对间隙”和相应的自相关间隙方程在零相关范围内与纯（1孔）BCS形式主义的性质本质上相同，并且库仑相关会显着影响配对的强度。相关性。

图形摘要