Strongly correlated superconductivity with long-range spatial fluctuations

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.

25 pages, 8 figures

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• Compactness of quantics tensor train representations of local imaginary-time propagators
• Multipolar ordering from dynamical mean field theory with application to CeB6
• Coupled system of electrons and exciton-polaritons: Screening, dynamical effects, and superconductivity
• Doping asymmetry in the three-band Hamiltonian for cuprate ladders: failure of the standard model of superconductivity in cuprates
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• $\text{Ab initio}$ Materials Design of Superconductivity in $d^9$ Nickelates
• Pairing boost from enhanced spin-fermion coupling in the pseudogap regime
• Entanglement in the pseudogap regime of cuprate superconductors