Fermion-boson vertex within dynamical mean-field theory

Erik G. C. P. van Loon, Friedrich Krien, Hartmut Hafermann, Alexander I. Lichtenstein, and Mikhail I. Katsnelson
Phys. Rev. B 98, 205148 – Published 27 November 2018

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.

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  • Received 3 August 2018
  • Revised 6 November 2018

DOI:https://doi.org/10.1103/PhysRevB.98.205148

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Erik G. C. P. van Loon1, Friedrich Krien2,3, Hartmut Hafermann4, Alexander I. Lichtenstein3, and Mikhail I. Katsnelson1

  • 1Radboud University, Institute for Molecules and Materials, NL-6525 AJ Nijmegen, The Netherlands
  • 2International School for Advanced Studies, SISSA, Trieste, Italy
  • 3Institute of Theoretical Physics, University of Hamburg, 20355 Hamburg, Germany
  • 4Mathematical and Algorithmic Sciences Lab, Paris Research Center, Huawei Technologies France SASU, 92100 Boulogne Billancourt, France

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Issue

Vol. 98, Iss. 20 — 15 November 2018

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