Role of three-particle vertex within dual fermion calculations

Abstract

We investigate the influence of self-energy diagrams beyond the two-particle vertex level within dual fermion theory. Specifically, we calculate the local three-particle vertex and construct from it selected dual fermion self-energy corrections to dynamical mean field theory. For the two-dimensional Hubbard model, the thus obtained self-energy corrections are small in the parameter space where dual fermion corrections based on the two-particle vertex only are small. However, in other parts of the parameter space, they are of a similar magnitude and qualitatively different from standard dual fermion theory. The high-frequency behaviour of the self-energy correction is - surprisingly - even dominated by corrections stemming from the three-particle vertex.

References in corpus (27)

• Continuous-time Monte Carlo methods for quantum impurity models
• A continuous-time solver for quantum impurity models
• Continuous Time Quantum Monte Carlo method for fermions
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Fate of the false Mott-Hubbard transition in two dimensions
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• Comparing pertinent effects of antiferromagnetic fluctuations in the two and three dimensional Hubbard model
• From infinite to two dimensions through the functional renormalization group
• Efficient perturbation theory for quantum lattice models
• Improved Estimators for the Self-Energy and Vertex Function in Hybridization Expansion Continuous-Time Quantum Monte Carlo Simulations
• Critical properties of the half-filled Hubbard model in three dimensions
• Updated Core Libraries of the ALPS Project
• Local Order and the gapped phase of the Hubbard model: a plaquette dynamical mean field investigation
• Conserved quantities of SU(2)-invariant interactions for correlated fermions and the advantages for quantum Monte Carlo simulations
• One-particle irreducible functional approach - a new route to diagrammatic extensions of DMFT
• Impact of nonlocal correlations over different energy scales: A Dynamical Vertex Approximation study
• Dual Fermion Approach to Susceptibility of Correlated Lattice Fermions
• Mechanisms of finite temperature magnetism in the three-dimensional Hubbard model
• Quantum criticality with a twist - interplay of correlations and Kohn anomalies in three dimensions
• Critical Exponents of Strongly Correlated Fermion Systems from Diagrammatic Multi-Scale Methods
• Continuous-time quantum Monte Carlo calculation of multi-orbital vertex asymptotics
• Dynamical vertex approximation for the two-dimensional Hubbard model
• The effect of six-point one-particle reducible local interactions in the dual fermion approach
• opendf - an implementation of the dual fermion method for strongly correlated systems
• Local correlation functions of arbitrary order for the Falicov-Kimball model
• Superperturbation theory on the real-axis

Cited by in corpus (21)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• w2dynamics: Local one- and two-particle quantities from dynamical mean field theory
• Multiloop functional renormalization group that sums up all parquet diagrams
• Multiloop functional renormalization group for general models
• Divergences of the irreducible vertex functions in correlated metallic systems: Insights from the Anderson Impurity Model
• Dual parquet scheme for the two-dimensional Hubbard model: modelling low-energy physics of high-$T_c$ cuprates with high momentum resolution
• Dual Boson Diagrammatic Monte Carlo Approach Applied to the Extended Hubbard Model
• Parquet approximation for molecules: spectrum and optical conductivity of the Pariser-Parr-Pople model
• Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
• Dual fermion method as a prototype of generic reference-system approach for correlated fermions
• Strongly correlated superconductivity with long-range spatial fluctuations
• Momentum-Space Cluster Dual Fermion Method
• Non-linear responses and three-particle correlators in correlated electron systems exemplified by the Anderson impurity model
• Magnetic phases of the anisotropic triangular lattice Hubbard model
• Fluctuation diagnostics of the finite temperature quasi-antiferromagnetic regime of the 2D Hubbard model
• Impact of self-consistency in dual fermion calculations
• Statistical error estimates in dynamical mean-field theory and extensions thereof
• Dual Bethe-Salpeter equation for the multi-orbital lattice susceptibility within dynamical mean-field theory
• The finite-difference parquet method: Enhanced electron-paramagnon scattering opens a pseudogap
• A functional-analysis derivation of the parquet equation