Superconductivity in a Two-Orbital Hatsugai-Kohmoto Model at Half Filling
This study develops a framework to analyze superconductivity in two-orbital extensions of the Hatsugai-Kohmoto model. It classifies symmetry-allowed superconducting gap structures based on spin and orbital degrees of freedom, then computes critical temperature and order parameter as functions of interaction strength. The results show how the interaction topology changes phase transitions, revealing first-order transitions in the Mott regime.