Abstract
Cooper’s formalism for the fermionic pairing has been revisited considering up to third-neighbour hopping terms, firstly with a Fermi liquid-like background on a square lattice keeping in mind the overdoped cuprates. Then the whole scheme is repeated with a marginal Fermi liquid-like background, taking into account the self-energy correction of the mobile electrons to include a more realistic density of states in the calculation. A detailed comparison of our theoretical results with those from experiments strongly supports the marginal Fermi liquid-like character of the normal phase with exciton-mediated superconducting pairing in the concerned materials, in the lightly overdoped phase.
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