SU(3) Fermi-Hubbard Model with Spin Flavor-imbalance

Motivated by ongoing experiments with alkaline-earth atoms in optical lattices, we investigate the phases of the square lattice SU(3) Fermi-Hubbard model with spin flavor imbalance using Hartree-Fock theory, focusing on the case with one-atom per site average density. Previous calculations on the flavor-balanced system predict the existence of a Mott transition and ordered phases in the strong-interaction limit. Our results suggest that at intermediate interaction strengths, multiple new magnetic and density orders appear. We show that these magnetic ordered phases are robust at small spin flavor imbalance, and that new phases appear upon large flavor imbalance. The mean-field results provide distinctive signatures to search for with ongoing experiments using quantum gas microscopes.