The Mott transition and superconductivity
Eliashberg G. M., von der Linden W.
If a Mott transition is not accompanied by changes in the crystal symmetry or the magnetic symmetry, a state with a split conduction band would have to be a phase-coherent state, to which the Luttinger theorem does not apply. From this standpoint, a superconducting state is a realization of a Mott state. Numerical data for the ID Hubbard model illustrate this conclusion.