Stout metal-insulator domain walls around the Mott point.

Many systems that exhibit Mott transition are disordered. Inhomogeneities act as nucleation and are expected to lead the transition. Specifically, Mott systems will, in general, be, characterized by the formation of "bubbles" of one phase embedded into another. The spatial landscape becomes evident close to the transition. Domain walls are relatively thick, or stout, in the sense that they may cover a large fraction of the sample in much of the coexistence regime. We describe the properties of a domain wall between a strongly correlated metal and a Mott insulator. Using a finite linear chain connected to two reservoirs, a metallic reservoir on the left and an insulator on the right, one can generate and study the domain wall between the two phases in the Hubbard model within the DMFT approximation for various temperatures. Using this method, we move along the line of the first-order transition on the coexistence region between the metal and insulator. We find that, as the temperature approaches the critical point, the domain wall broadens, as predicted by the Landau theory.