  Iron-based superconductors, a cornerstone of low-temperature physics, have
been the subject of numerous theoretical models aimed at deciphering their
complex behavior. In this study, we present a comprehensive approach that
amalgamates several existing models and incorporates experimental data to
simulate the superconducting phase diagrams of the principal 122-type
iron-based compounds. Our model considers a multitude of factors including the
momentum dependence of the superconducting gap, spin-orbital coupling,
antiferromagnetism, spin density wave, induced XY potential on the tetrahedral
structure, and electron-phonon coupling. We have refined the electron-phonon
scattering matrix using experimental angle-resolved photoemission spectroscopy
(ARPES) data, ensuring that all electrons pertinent to iron-based
superconductivity are accounted for. This innovative approach allows us to
calculate theoretical critical temperature Tc values for Ba1-xKxFe2As2,
CaFe2As2 and SrFe2As2 as functions of pressure. These calculated values exhibit
remarkable agreement with experimental findings. Furthermore, our model
predicts that MgFe2As2 remains non-superconducting irrespective of the applied
pressure. Given that 122-type superconductivity at low pressure or low doping
concentration has been experimentally validated, our combined model serves as a
powerful predictive tool for generating superconducting phase diagrams at high
pressure. This study underscores that the high transition temperatures and the
precise doping and pressure dependence of iron-based superconductors are
intrinsically linked to an intertwined mechanism involving a strong interplay
between structural, magnetic and electronic degrees of freedom.
