Abstract
We have introduced a Coulomb correlated normal state to study the superconducting pairing within a Fermi liquid (FL)-like background in a 3-dimensional system. The role of the Coulomb correlation has been actively incorporated by means of the Gutzwiller projection scheme, in the presence of phonon mediated attractive electron–electron (AEE) interaction throughout the entire regime of its applicability. We variationally modulate the Coulomb correlation strength from the weak to the strong regime in our calculational procedure. The main highlight of our results is the appearance of a ‘2-gap-like’ structure in the superconducting phase, arising out of the two-body interacting matrix elements, calculated in the presence of the active Coulomb correlation. We have made use of the ‘two-square well model’ potential to evaluate the superconducting pairing gaps at zero temperature. Our Calculational scheme has been applied to a simple cubic lattice system for a physical realization. All the consequences are elaborated and discussed.
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