A Theoretical Analysis of Superconducting Pairing in Correlated Metallic Systems

Abstract

We have introduced a Coulomb correlated normal state to study the superconducting pairing with a Fermi liquid like normal phase background in a 3 dimensional system. The role of the Coulomb correlation has been actively incorporated by means of Gutzwiller projection scheme, in the presence of phonon mediated attractive electron-electron 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.

References in corpus (9)

• Conventional superconductivity at 203 K at high pressures
• Evidence for superconductivity above 260 K in lanthanum superhydride at megabar pressures
• Quantum Hydrogen-Bond Symmetrization and High-Temperature Superconductivity in Hydrogen Sulfide
• A quantum fluid of metallic hydrogen suggested by first-principles calculations
• Zero-Temperature Structures of Atomic Metallic Hydrogen
• Geminal wavefunctions with Jastrow correlation: a first application to atoms
• Possibility of High Tc Superconductivity in doped Graphene
• Confinement-engineered superconductor to correlated-insulator transition in a van der Waals monolayer
• Interplay of Pairing Correlation and Coulomb Correlation in Boson Exchange Superconductors