Pairing Mechanism in Hunds Metal Superconductors and the Universality of the Superconducting Gap to Critical Temperature Ratio

We analyze a simple model containing the physical ingredients of a Hund’s metal, the local spin fluctuations with power-law correlators, $({\mathrm{\Omega }}_0\mathrm{/}\mathrm{\mid }\mathrm{\Omega }\mathrm{\mid }{)}^{\gamma }$, with $\gamma$ greater than one, interacting with electronic quasiparticles. While the critical temperature and the gap change significantly with varying parameters, the $2{\mathrm{\Delta }}_{max}\mathrm{/}{k}_B{T}_c$ remains close to twice the BCS value in agreement with experimental observations in the iron-based superconductors (FeSC).