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  Dual boson diagrammatic Monte Carlo approach applied to the extended Hubbard model

Vandelli, M., Harkov, V., Stepanov, E. A., Gukelberger, J., Kozik, E., Rubio, A., et al. (2020). Dual boson diagrammatic Monte Carlo approach applied to the extended Hubbard model. Physical Review B, 102(19): 195109. doi:10.1103/PhysRevB.102.195109.

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PhysRevB.102.195109.pdf (Publisher version), 2MB
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.
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https://dx.doi.org/10.1103/PhysRevB.102.195109 (Publisher version)
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https://arxiv.org/abs/2007.04669 (Preprint)
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 Creators:
Vandelli, M.1, 2, 3, 4, Author           
Harkov, V.2, 5, Author
Stepanov, E. A.2, Author
Gukelberger, J.6, Author
Kozik, E.7, Author
Rubio, A.3, 4, 8, 9, Author           
Lichtenstein, A. I.1, 2, 5, Author
Affiliations:
1The Hamburg Centre for Ultrafast Imaging, ou_persistent22              
2I. Institute of Theoretical Physics, Department of Physics, University of Hamburg, ou_persistent22              
3Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
4Center for Free Electron Laser Science, ou_persistent22              
5European X-Ray Free-Electron Laser Facility, ou_persistent22              
6Microsoft Quantum, ou_persistent22              
7Department of Physics, King's College London, ou_persistent22              
8Center for Computational Quantum Physics, Flatiron Institute, ou_persistent22              
9Nano-Bio Spectroscopy Group and ETSF, Universidad del País Vasco, ou_persistent22              

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 Abstract: In this work we introduce the dual boson diagrammatic Monte Carlo technique for strongly interacting electronic systems. This method combines the strength of dynamical mean-filed theory for nonperturbative description of local correlations with the systematic account of nonlocal corrections in the dual boson theory by the diagrammatic Monte Carlo approach. It allows us to get a numerically exact solution of the dual boson theory at the two-particle local vertex level for the extended Hubbard model. We show that it can be efficiently applied to description of single-particle observables in a wide range of interaction strengths. We compare our exact results for the self-energy with the ladder dual boson approach and determine a physical regime, where the description of collective electronic effects requires more accurate consideration beyond the ladder approximation. Additionally, we find that the order-by-order analysis of the perturbative diagrammatic series for the single-particle Green's function allows to estimate the transition point to the charge density wave phase.

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Language(s): eng - English
 Dates: 2020-10-192020-07-092020-10-202020-11-052020-11-15
 Publication Status: Published in print
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 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevB.102.195109
arXiv: 2007.04669
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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 102 (19) Sequence Number: 195109 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008