Dynamical mean-field theory for strongly correlated inhomogeneous multilayered nanostructures

Dynamical mean field theory is employed to calculate the properties of multilayered inhomogeneous devices composed of semi-infinite metallic lead layers coupled via barrier planes that are made from a strongly correlated material (and can be tuned through the metal-insulator Mott transition). We find that the Friedel oscillations in the metallic leads are immediately frozen in and do not change as the thickness of the barrier increases from one to 80 planes. We also identify a generalization of the Thouless energy that describes the crossover from tunneling to incoherent ohmic transport in the insulating barrier. We qualitatively compare the results of these self-consistent many-body calculations with the assumptions of non-self-consistent Landauer-based approaches to shed light on when such approaches are likely to yield good results for the transport.