Non Super-Cell SuperConductivity Of High Tc Materials

TL;DR

This paper develops a theoretical framework using NEGF to model high-temperature superconductor interfaces, focusing on non-supercell geometries and their boundary conditions.

Contribution

It introduces a novel application of NEGF to describe high Tc superconductor interfaces with non-supercell geometries, expanding understanding of interface transport.

Findings

Derived a Green's function based model for superconductor interfaces.

Revealed boundary effects in non-supercell geometries.

Provided insights into coupling mechanisms at high Tc interfaces.

Abstract

Recently we have described materials interface transport coupling rigorously utilizing NEGF nonequilibrium Green's functions, and have discussed the Hamiltonian terms that from Green's theorem and boundary conditions can be rewritten as Self Energy. We derive the application of our theory to the high $Tc$ Superconducting materials interfaces that are the composition of the high temperature superconducting materials. The derivation models a non super-cell geometry of plaquettes that will describe the superconducting 2D material in abrupt coupling with the material of insulating or normal conducting composition.