Phenomenology of CaKFe4As4 explained in the framework of four bands Eliashberg theory

Recent angle-resolved photoemission spectroscopy measurements of CaKFe4As4 report the presence of four superconductive gaps on different sheets of Fermi surface. The interesting aspect of this superconductor is that it is stoichiometric and with a high critical temperature. I show that the phenomenology of this superconductor can be explained in the framework of four-band s ± -wave Eliashberg theory choosing antiferromagnetic spin fluctuations as pairing glue. In particular, various experimental data reported in literature: the energy gaps, the critical temperature, the temperature dependence of the upper critical field, the penetration depth and the thermopower can be reproduced by this model in a strong-coupling regime with a small number of free parameters.