Theoretical investigation of the feasibility of electronic mechanism for superconducting pairing in overdoped cuprates with Fermi liquid like and Marginal Fermi liquid- like descriptions for the normal phase

TL;DR

This paper explores the theoretical possibility of electron-mediated superconducting pairing in overdoped cuprates, comparing Fermi liquid and Marginal Fermi liquid models, and finds strong support for the latter based on experimental comparisons.

Contribution

It provides a detailed theoretical analysis of superconducting pairing mechanisms in overdoped cuprates using both Fermi liquid and Marginal Fermi liquid models, highlighting the latter's relevance.

Findings

Marginal Fermi liquid model aligns better with experimental data.

Self-energy corrections improve the density of states modeling.

Exciton-mediated pairing is supported in lightly overdoped cuprates.

Abstract

Cooper's formalism for fermionic pairing has been revisited considering upto 3rd neighbour hopping terms, firstly with a Fermi liquid like background on a square lattice keeping in mind the overdopped 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 realitic density of states in the calculation. 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.