Beyond extended dynamical mean-field theory: Dual boson approach to the two-dimensional extended Hubbard model

Abstract

The dual boson approach [Ann. Phys. 327, 1320 (2012)] provides a means to construct a diagrammatic expansion around the extended dynamical mean-field theory (EDMFT). In this paper, we present the numerical implementation of the approach and apply it to the extended Hubbard model with nearest-neighbor interaction $V$. We calculate the EDMFT phase diagram and study the effect of diagrams beyond EDMFT on the transition to the charge-ordered phase. Including diagrammatic corrections to the EDMFT polarization shifts the EDMFT phase boundary to lower values of $V$. The approach interpolates between the random phase approximation in the weak coupling limit and EDMFT for strong coupling. Neglecting vertex corrections leads to results reminiscent of the EDMFT+$GW$ approximation. We however find significant deviations from the dual boson results already for small values of the interaction, emphasizing the crucial importance of fermion-boson vertex corrections.

Published version; 24 pages, 32 figures

References in corpus (17)

• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Momentum space anisotropy and pseudogaps: a comparative cluster dynamical mean field analysis of the doping-driven metal-insulator transition in the two dimensional Hubbard model
• Screening and Non-local Correlations in the Extended Hubbard Model from Self-Consistent Combined GW and Dynamical Mean Field Theory
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• Influence of Spatial Correlations in Strongly Correlated Electron Systems: Extension to Dynamical Mean Field Approximation
• Spectral Properties of Correlated Materials: Local Vertex and Non-Local Two-Particle Correlations from Combined GW and Dynamical Mean Field Theory
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• Extended dynamical mean-field study of the Hubbard model with long range interactions
• Plasmons in strongly correlated systems: spectral weight transfer and renormalized dispersion
• Efficient implementation of the continuous-time hybridization expansion quantum impurity solver
• Cellular Dynamical Mean Field Theory for the 1D Extended Hubbard Model
• Collective Charge Excitations of Strongly Correlated Electrons, Vertex Corrections and Gauge Invariance
• Dual Fermion Approach to Susceptibility of Correlated Lattice Fermions
• Non-Perturbative Treatment of Charge and Spin Fluctuations in the Two-Dimensional Extended Hubbard Model: Extended Two-Particle Self-Consistent Approach
• Spin-boson coupling in continuous-time quantum Monte Carlo
• Non-local correlations in metals close to a charge order insulator transition

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