报告摘要 | Motivated by the recent progress of nickelate superconductors, we explored Hubbard-type multi-orbital models focusing on the superconducting instability, non-Fermi liquid behavior, and charge density wave states. In particular, relevant to Ni-112 superconducting family, we showed that an additional dry metallic band can shift the SC dome of the correlated Hubbard band towards the overdoped regime, namely the d-wave SC can be enhanced (suppressed) in the overdoped (underdoped) regime. Besides, the simulations of three-orbital Emery model showed fruitful non-Fermi liquid behavior in both parameters regimes relevant for cuprates and nickelates. Finally, our recent investigation demonstrated the transition between charge density wave states and homogeneous states in a cluster model for La3Ni2O7. |