Skip to main content
Physical Review BVolume 100, Issue 20, 11 November 2019, Article number 205115

Consistent partial bosonization of the extended Hubbard model(Article)(Open Access)

  Save all to author list
  • aInstitute of Theoretical Physics, University of Hamburg, Hamburg, 20355, Germany
  • bTheoretical Physics and Applied Mathematics Department, Ural Federal University, Mira Street 19, Ekaterinburg, 620002, Russian Federation
  • cEuropean X-Ray Free-Electron Laser Facility, Holzkoppel 4, Schenefeld, 22869, Germany

Abstract

We design an efficient and balanced approach that captures major effects of collective electronic fluctuations in strongly correlated fermionic systems using a simple diagrammatic expansion on a basis of dynamical mean-field theory. For this aim we perform a partial bosonization of collective fermionic fluctuations in leading channels of instability. We show that a simultaneous account for different bosonic channels can be done in a consistent way that allows to avoid the famous Fierz ambiguity problem. The present method significantly improves a description of an effective screened interaction W in both charge and spin channels, and has a great potential for application to realistic GW-like calculations for magnetic materials. © 2019 American Physical Society.

Indexed keywords

Engineering controlled terms:Magnetic materials
Engineering uncontrolled termsBosonic channelsBosonizationDynamical mean-field theoryExtended Hubbard modelFermionic systemsSpin channels
Engineering main heading:Mean field theory

Funding details

Funding sponsor Funding number Acronym
Deutsche Forschungsgemeinschaft
See opportunities by DFG		ID390715994DFG
Russian Science Foundation17-72-20041RSF

  • 1

    The authors thank F. Krien and S. Brener for valuable comments on the work. The authors also thank M. Katsnelson and A. Rubtsov for inspiring discussions and long-term collaboration. The work of E.A.S. was supported by the Russian Science Foundation, Grant No. 17-72-20041. This work was partially supported by the Cluster of Excellence “Advanced Imaging of Matter” of the Deutsche Forschungsgemeinschaft (DFG)-EXC 2056- Project No. ID390715994, and by North-German Supercomputing Alliance (HLRN) under the Project No. hhp00042. APPENDIX A:

  • 2

    The work of E.A.S. was supported by the Russian Science Foundation, Grant No. 17-72-20041. This work was partially supported by the Cluster of Excellence ???Advanced Imaging of Mattera of the Deutsche Forschungsgemeinschaft (DFG)-EXC 2056- Project No. ID390715994, and by North-German Supercomputing Alliance (HLRN) under the Project No. hhp00042.

  • ISSN: 24699950
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1103/PhysRevB.100.205115
  • Document Type: Article
  • Publisher: American Physical Society

  Stepanov, E.A.; Institute of Theoretical Physics, University of Hamburg, Hamburg, Germany
© Copyright 2019 Elsevier B.V., All rights reserved.

Cited by 34 documents

Vandelli, M. , Galler, A. , Rubio, A.
Doping-dependent charge- and spin-density wave orderings in a monolayer of Pb adatoms on Si(111)
(2024) npj Quantum Materials
Adler, S. , Krien, F. , Chalupa-Gantner, P.
Non-perturbative intertwining between spin and charge correlations: A “smoking gun” single-boson-exchange result
(2024) SciPost Physics
Cunningham, B. , Grüning, M. , Pashov, D.
QSG Ŵ: Quasiparticle self-consistent GW with ladder diagrams in W
(2023) Physical Review B
View details of all 34 citations
Inform me when this document is cited in Scopus:
Set citation alert Set citation feed
{"topic":{"name":"Hubbard Model; Mean-Field Theory; Orbit","id":3025,"uri":"Topic/3025","prominencePercentile":95.94979,"prominencePercentileString":"95.950","overallScholarlyOutput":0},"dig":"348b7d6d860c067f3f6687d0bb4ff42c5027ebff860c11379264d0fb012f8b53"}

SciVal Topic Prominence

Topic:
Prominence percentile: