Abstract

Strongly electronic correlation effects stem from the Coulomb interactions between electrons, and the localization of d- and/or f-orbitals in transition-metal and rare-earth elements. These effects are generally considered as the driving force behind various novel quantum states in correlated oxide systems, such as Mott-insulator transition and unconventional superconductivity. Density-functional theory (DFT), relying on a single-particle approximation, faces limitations in capturing dynamic correlation effects. Dynamical mean-field theory (DMFT) has emerged as an effective approach to describe dynamic correlation effects in solids, addressing the deficiencies of standard DFT method. In this presentation, I will provide a brief overview of the principles and computational workflow of DFT +DMFT method. Additionally, I will introduce several applications of DMFT in the study of strongly correlated oxides, including (i) nickelate superconductors and (ii) transition-metal oxide transparent conductors, demonstrating the efficacy of DMFT in understanding dynamic correlation effects in materials.