Study the charge transport of the Rice-Mele-Hubbard model using Floquet dynamical mean-field theory.

Periodically driven quantum correlated lattice systems are nowadays reachable in the laboratory. Those systems can host exotic non-equilibrium phases, e.g. topological charge transport, that attract many theoretical studies. However, usually a general picture is missing. Here, we use non-equilibrium Floquet-Keldysh dynamical mean-field theory (DMFT) to study the Rice-Mele Hubbard model, a typical model that can support topological transports. We used a purely Floquet frequency domain technique and iterative perturbation theory to study the adiabatic to high-frequency regimes and weakly interacting to relatively strongly interacting regimes. While DMFT is not expected to provide precise results in one dimension, its qualitative features align with recent studies of the interacting Thouless pump using cold-atom simulators and DMRG. Our work may provide a qualitative picture of many correlated Floquet Topological lattice models.