Asymptotically Exact Solution for Superconductivity near Ferromagnetic Criticality

TL;DR

This paper provides an asymptotically exact analysis of p-wave superconductivity near ferromagnetic criticality, revealing that vertex corrections significantly enhance the transition temperature in three-dimensional electron systems.

Contribution

It introduces a comprehensive solution accounting for all Feynman diagrams, showing vertex corrections increase the superconducting transition temperature near ferromagnetic criticality.

Findings

Vertex corrections enhance the pairing interaction.

Transition temperature is significantly raised.

Normal state properties receive subleading corrections.

Abstract

We analyze an asymptotically exact solution for the transition temperature of p-wave superconductivity near ferromagnetic criticality on the basis of the three-dimensional electron systems in which scattering processes are dominated by exchange interactions with small momentum transfers. Taking into account all Feynman diagrams in the gap equation, we show that vertex corrections neglected in the conventional Eliashberg's formalism enhance the dynamical retarded effect of the pairing interaction, and raise the superconducting transition temperature significantly, though they just give subleading corrections to properties of the normal state.