Spin-Rotation-Invariant Slave-Boson Theory for three-dimensional Correlated Materials

We apply the spin-rotation-invariant slave-boson formalism to investigate the competition among electronic phases in three-dimensional correlated systems. By expressing electron operators in terms of slave-bosonic degrees of freedom and performing a mean-field decoupling of the interaction term in the many-body Hamiltonian, we derive self-consistent equations characterizing the Fermi-liquid, Mott-insulating, and antiferromagnetic states on a body-centered cubic lattice. Solving these equations numerically enables us to map out phase boundaries as a function of interaction strength. Finally, we discuss the relevance of our results to doped fulleride compounds, emphasizing their implications for the correlated electronic behavior of these materials.