Fermion-boson vertex within dynamical mean-field theory

2018/06/30 by Erik G. C. P. van Loon, Friedrich Krien, Hartmut Hafermann +4 · 38 citations
Mathematics · Physics and Astronomy · #Boson #Combinatorics #Fermion #Graph #Hubbard model #Mathematical physics #Mathematics #Mean field theory #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Superconductivity #Theoretical and Computational Physics #Theoretical physics #Vertex (graph theory) #cond-mat.quant-gas #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.98.205148

published in Physical review. B./Physical review. B 98(20) (American Physical Society) · 21 pages

arxiv created 2018/11/05 · openalex publication_date 2018/11/27 · arxiv updated 2018/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the study of strongly interacting systems, correlations on the two-particle level are receiving more and more attention. In this work, we study a particular two-particle correlation function: the fermion-boson vertex. It describes the response of the Green's function when an external field is applied and is an important ingredient of diagrammatic extensions of dynamical mean-field theory. We provide several perspectives on this object, using Ward identities, sum rules, perturbative analysis, and asymptotic relations. We then use these tools to study the vertex across the doping-driven metal-insulator transition and find a divergent imaginary part.

Citations

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