Mirror Nesting of the Fermi Contour and Superconducting Pairing from the Repulsive Interaction

TL;DR

This paper explores how mirror nesting of the Fermi contour and specific conditions on repulsive interactions can lead to superconducting pairing with large total momentum, potentially explaining high-temperature superconductivity in cuprates.

Contribution

It identifies the necessary conditions for repulsive interaction-induced pairing with large momentum and provides a continuous solution framework for the order parameter.

Findings

Superconducting pairing requires a negative eigenvalue of the repulsion potential.

Mirror nesting of the Fermi contour is essential for pairing.

The order parameter changes sign across a line inside the Fermi domain.

Abstract

We consider the necessary conditions of superconducting pairing at repulsive interaction between particles composing a pair with large total momentum: (1) the existence of, at least, one negative eigenvalue of the repulsion potential and (2) mirror nesting of the Fermi contour. Under these conditions, we represent the solution of the self-consistency equation continuously depending on the momentum of the relative motion of the pair. The corresponding superconducting order parameter changes its sign on a line crossing the Fermi contour inside the domain of definition of the relative motion pair momentum. We argue that repulsive-induced superconducting pairing with large total pair momentum may be just the case relating to high-temperature superconducting cuprates.