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

MPS-Authors
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Vandelli,  M.
The Hamburg Centre for Ultrafast Imaging;
I. Institute of Theoretical Physics, Department of Physics, University of Hamburg;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free Electron Laser Science;

/persons/resource/persons22028

Rubio,  A.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free Electron Laser Science;
Center for Computational Quantum Physics, Flatiron Institute;
Nano-Bio Spectroscopy Group and ETSF, Universidad del País Vasco;

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PhysRevB.102.195109.pdf
(Publisher version), 2MB

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Citation

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.


Cite as: http://hdl.handle.net/21.11116/0000-0007-578E-8
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.