Numerical Linked Cluster Expansion of the SU(3) Fermi Hubbard model on the triangular lattice

The Fermi Hubbard model is a paradigmatic model for strongly correlated electrons in quantum many-body physics and can be engineered with high degree of precision with ultracold atoms in optical lattices. Its generalization to N>2 components has attracted interest in recent years because of its rich physics and experimental realizations with alkaline-earth-like atoms. In this work, we present our progress in the study of the SU(3) Fermi-Hubbard model on the triangular lattice using the numerical linked-cluster expansion method. We have implemented an exact diagonalization algorithm that exploits symmetries of the Hamiltonian so that larger clusters can be accessed.We present our findings for the thermodynamic properties of the model.