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Using inhomogeneous dynamical mean-field theory, we argue that thenormal-metal proximity effect forces any finite number of "barrier" planes thatare described by the (paramagnetic) Hubbard model and sandwiched betweensemi-infinite metallic leads to always be a Fermi liquid at T=0. This thenimplies that the inhomogeneous system restores lattice periodicity at zerofrequency, has a well-defined Fermi surface, and should display perfect(ballistic) conductivity or "transparency". These results are, however, fragilewith respect to finite frequency, V, T, disorder, or magnetism, all of whichrestore the expected quantum tunneling regime through a finite-width Mottinsulator. Our formal results are complemented by numerical renormalizationgroup studies on small thickness barriers that illustrate under whatcircumstances this behavior might be seen in real experimental systems.

physical review letters

Perfect dc conductance of a finite width Mott insulator sandwiched  between metallic leads at zero temperature: a quantum emergent phenomenon in  strongly correlated multilayers