Transport in Correlated Metals from a Combined Dynamical Mean Field Theory and First Principles Electron-Phonon Approach

Transport in correlated metals is governed by a combination of electron-electron (e-e) and electron-phonon (e-ph) scattering. Here, we study transport in correlated metals using our recently developed first-principles approach [1] which can take into account both e-e and e-ph interactions in a consistent way. This Green’s function approach combines e-e interactions from dynamical mean field theory (DMFT) with first-principles e-ph interactions dressed by the DMFT electronic structure. Using this method, we calculate the respective contributions of e-e and e-ph interactions to the resistivity in several classes of correlated metals, including ruthenates, vanadates and molybdenates. We discuss the microscopic origin of low and high resistivities in correlated metals, analyze the temperature dependence of the resistivity, and quantify the effect of electronic correlations on e-ph coupling. Taken together, these results advance the understanding of electron interactions and dynamics in correlated quantum materials.