S-wave Superconductivity in Weak Ferromagnetic Metals

We investigate the behavior of weak ferromagnetic metals close to the ferromagnetic critical point. We show that in the limit of small magnetic moment the low temperature metallic phase is rigorously described by a local ferromagnetic Fermi liquid that has a momentum-independent self-energy. Whereas, non-Fermi liquid features develop at higher temperatures. Furthermore, we find that an instability towards s-wave superconductivity is possible when the exchange splitting is comparable to the superconducting gap.