Electronic phase diagram of body-centered cubic structured alkali-doped fulleride

Motivated by the experimental phase diagram obtained by controlling the C$^{3-}_{60}$ molecular volume under the chemical pressure, we study the electronic phase diagram of body-centered cubic structured alkali-doped fulleride. In the presence of strong on-site interaction, first we convert the effective Hamiltonian into an exactly-solvable Hatsugai-Kohomoto-BCS type model. We find that the s-wave superconducting phase transition driven by the inverted Hund’s coupling term into non-Fermi liquid phase is a strongly first order one. Second, in the strongly correlated limit away from superconductivity, we use spin-rotation invariant slave boson approach to study the correlated electronic phases such as paramagnetic metallic phase, Mott insulating phase, and antiferromagnetic phase. Finaly, we construct the global phase diagram in temperature and C$^{3-}_{60}$ molecular volume parameter space.