Strongly correlated superconductivity with long-range spatial fluctuations

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.

Automated summary

We review recent studies on superconductivity using diagrammatic extensions of dynamical mean field theory, which consider both local correlation effects and spatial long-range fluctuations. The results reproduce and predict experimental phase diagrams of strongly correlated systems, and reveal that the dynamical screening effect of the pairing interaction vertex has significant consequences for the transition temperature.