Simplification of the Local Full Vertex in the Impurity Problem in DMFT and Its Applications for the Nonlocal Correlation

Mizuno, Ryota; Ochi, Masayuki; Kuroki, Kazuhiko

doi:10.7566/jpsj.91.034002

Cited by 2 publications

(2 citation statements)

References 57 publications

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Section: Appendix A3 Discussionmentioning

confidence: 99%

Strongly correlated superconductivity with long-range spatial fluctuations

Kitatani,

Arita,

Schäfer

et al. 2022

Preprint

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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-twodimensional 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.

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Section: Appendix A3 Discussionmentioning

confidence: 99%

Strongly correlated superconductivity with long-range spatial fluctuations

Kitatani,

Arita,

Schäfer

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Also a compactification of the vertex in momentum space has been suggested using a form factor expansion [125]. Other than these, many kinds of the vertex decomposition have been proposed [126][127][128]. Krien et al [129,130] extended the current (supplementing bare-U) scheme to the parquet equations by using single-boson-exchange (SBE) decomposition [131] based on a concept of the irreducibility against the bare interaction [45].…”

Section: Discussionmentioning

confidence: 99%

Strongly correlated superconductivity with long-range spatial fluctuations

et al. 2022

View full text Add to dashboard Cite

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.

show abstract

Simplification of the Local Full Vertex in the Impurity Problem in DMFT and Its Applications for the Nonlocal Correlation

Cited by 2 publications

References 57 publications

Strongly correlated superconductivity with long-range spatial fluctuations

Strongly correlated superconductivity with long-range spatial fluctuations

Strongly correlated superconductivity with long-range spatial fluctuations

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