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 (10)

• Continuous-time Monte Carlo methods for quantum impurity models
• 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
• 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
• Dual Fermion Approach to Susceptibility of Correlated Lattice Fermions
• The effect of six-point one-particle reducible local interactions in the dual fermion approach

Cited by in corpus (11)

• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard 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
• Dual fermion method as a prototype of generic reference-system approach for correlated fermions
• Strongly correlated superconductivity with long-range spatial fluctuations
• 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
• 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