Many Body Correlation Corrections to Superconducting Pairing in Two Dimensions.

Abstract

We demonstrate that in the strong coupling limit (the superconducting gap $Δ$ is as large as the chemical potential $μ$), 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 ($Δ\ll μ$) the correlation corrections are very large: of the order of 100\% of the corresponding mean field values.