Beyond DMFT: Spin Fluctuations, Pseudogaps and Superconductivity
Karsten Held

TL;DR
This paper reviews diagrammatic extensions of dynamical mean-field theory, focusing on their application to spin fluctuations, pseudogap phenomena, and superconductivity in correlated electron systems.
Contribution
It introduces the dynamical vertex approximation and its ladder extension, applying these methods to understand complex phenomena in the Hubbard model and related materials.
Findings
Spin fluctuations are crucial for understanding pseudogap physics.
Diagrammatic extensions improve the description of superconductivity.
Applications to cuprates and nickelates reveal new insights into correlated materials.
Abstract
This Chapter of the J\"ulich Summer School 2022 provides for a first reading on diagrammatic extensions of dynamical-mean-field theory and their application to spin fluctuations, pseudogap physics and supercondcutivtiy. The contents is as follows: 1 Introduction 2 Dynamical vertex approximation 3 Ladder dynamical vertex approximation 4 Hubbard model, cuprates and nickelates 5 Spin fluctuations 6 Pseudogap 7 Superconductivity 8 Conclusion and outlook
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism
