Theory of Superconductivity in Strongly Correlated Electron Systems

TL;DR

This paper develops a theoretical framework explaining the coexistence of different superconducting domains in strongly correlated electron systems, emphasizing the role of antiferromagnetic fluctuations and pairing symmetries.

Contribution

It introduces a novel theory linking quantum fluctuations to domain formation and pairing symmetry in high-temperature superconductors.

Findings

Full-gapped and Fermi-arc domains coexist in pseudogap systems.

Different pairing symmetries are favored in different domains.

Superconductivity is influenced by real-space electron pairing and gapless states.

Abstract

In the correlated electron system with the pseudogap, there are full-gapped domains and Fermi-arced domains coexisting. Those domains are created by the quantum-fluctuated antiferromagnetic fluctuations that generate the short-ranged attractive potential to produce the Fermi arcs and the superconductivity. In the full-gapped domains, s-wave or (d_{x^2-y^2}\pm id_{xy})-wave symmetry of the electron pairs is favored. In the Fermi-arced domains, only d_{x^2-y^2}-wave symmetry of pairs is stable. Superconductivity of different pairing symmetry coexists in different domains, as well. Different from the Cooper pairs, the correlated electrons pair up in the \emph{real} space with an energy gap. Gapless states, on the contrary, hinder the development of superconductivity.