Many Body Correlation Corrections to Superconducting Pairing in Two Dimensions.

TL;DR

This paper investigates how many-body correlation corrections affect superconducting pairing in two dimensions, revealing significant effects in both strong and weak coupling regimes relevant to high-temperature superconductivity.

Contribution

It provides a quantitative analysis of correlation corrections to the superconducting gap and critical temperature across different coupling regimes.

Findings

Correlation corrections are about 10% of mean field values in strong coupling.

Corrections are approximately 100% in weak coupling.

Highlights the importance of many-body effects in high-$T_c$ superconductivity.

Abstract

We demonstrate that in the strong coupling limit (the superconducting gap $\Delta$ is as large as the chemical potential $\mu$), which is relevant to the high-$T_c$ superconductivity, the correlation corrections to the gap and critical temperature are about 10\% of the corresponding mean field approximation values. For the weak coupling ($\Delta \ll \mu$) the correlation corrections are very large: of the order of 100\% of the corresponding mean field values.