Strongly correlated superconductivity with long-range spatial fluctuations

TL;DR

This paper reviews advanced theoretical methods that incorporate local and long-range correlations to better understand unconventional superconductivity in layered materials, successfully matching experimental phase diagrams and exploring effects on transition temperatures.

Contribution

It introduces diagrammatic extensions of dynamical mean field theory that account for both local and spatial correlations, providing new insights into superconductivity mechanisms.

Findings

Reproduces experimental phase diagrams of cuprates and nickelates.

Shows dynamical screening significantly affects transition temperatures.

Suggests potential for exotic pairing mechanisms like odd-frequency pairing.

Abstract

We review recent studies for superconductivity using diagrammatic extensions of dynamical mean field theory. These approaches take into account simultaneously both, the local correlation effect and spatial long-range fluctuations, which are essential to describe unconventional superconductivity in a quasi-two-dimensional plane. The results reproduce and predict the experimental phase diagrams of strongly correlated system such as cuprates and nickelates. Further studies reveal that the dynamical screening effect of the pairing interaction vertex has dramatic consequences for the transition temperature and may even support exotic mechanisms like odd-frequency pairing. We also discuss the dimensionality of layered materials and how to interpret the numerical results in two dimensions.