Effect of Ferromagnetic Spin Correlations on Superconductivity in Ferromagnetic Metals

TL;DR

This paper investigates how ferromagnetic spin fluctuations influence superconductivity in weak ferromagnetic metals, revealing that vertex corrections are minimal and Migdal's theorem holds away from the quantum critical point.

Contribution

It provides a detailed analysis of quasiparticle renormalization and explains the emergence of s-wave superconductivity in ferromagnetic metals away from criticality.

Findings

Vertex corrections are small

Migdal's theorem is valid away from the quantum critical point

Superconductivity arises from spin fluctuation mechanisms

Abstract

We study the renormalization of the quasiparticle properties in weak ferromagnetic metals, due to spin fluctuations, away from the quantum critical point for small magnetic moment. We explain the origin of the s-wave superconducting instability in the ferromagnetic phase and find that the vertex corrections are small and Migdal's theorem is satisfied away from the quantum critical point.