Signatures of insulating phases in the SU(3) symmetric Hubbard model in two dimensions

In this work we study the SU(3) Fermi Hubbard model in the two-dimensional square lattice at finite temperature using determinant Quantum Monte Carlo (DQMC) as a function of temperature, interaction strength and doping. We study the evolution of the compressibility and structure factors to understand at which interaction strengths the system opens a charge gap and when it develops magnetic ordering. Our results complement previous studies in the Heisenberg limit at finite temperature and ground state calculations to elucidate the phase diagram of this model. These results provide guidance for ongoing optical lattice experiments with ¹⁷³Yb or ⁸⁷Sr quantum gas microscopes.