Vertex Corrections in the Spin-fluctuation-induced Superconductivity

TL;DR

This paper investigates how vertex corrections influence the critical temperature in high-temperature superconductors within an antiferromagnetic spin-fluctuation framework, revealing attractive effects in the dominant pairing channel especially at intermediate coupling.

Contribution

It provides a detailed evaluation of vertex corrections to $T_c$ in the spin-fluctuation model, highlighting their significance in the intermediate-coupling regime.

Findings

Vertex corrections are attractive in the $d_{x^2-y^2}$ channel.

Corrections become significant around $T_c \,\simeq\, 100$K.

Implications for maximum attainable $T_c$ in the model.

Abstract

We evaluate vertex corrections to $T_c$ on the basis of the antiferromagnetic spin-fluctuation model of the high-$T_c$ superconductivity. It is found that the corrections are attractive in the $d_{x^2-y^2}$ channel, and they become appreciable as we go through an intermediate-coupling regime of $T_c\simeq 100$K, the maximum $T_c$ attainable in the one-loop \'Eliashberg calculation.