From local to non-local correlations: the Dual Boson perspective
arXiv:1604.07734 · doi:10.1103/PhysRevB.94.205110
Abstract
Extended dynamical mean-field theory (EDMFT) is insufficient to describe non-local effects in strongly correlated systems, since corrections to the mean-field solution are generally large. We present an efficient scheme for the construction of diagrammatic extensions of EDMFT that avoids usual double counting problem by using an exact change of variables (the dual boson formalism) to distinguish the correlations included in the mean-field solution and those beyond. With a computational efficiency comparable to EDMFT+GW approach, our scheme significantly improves on the charge order transition phase boundary in the extended Hubbard model.
Misprint in equation (A5) appeared in the previous version of the text has been corrected
References in corpus (9)
- Continuous-time Monte Carlo methods for quantum impurity models
- Dynamical vertex approximation - a step beyond dynamical mean field theory
- Screening and Non-local Correlations in the Extended Hubbard Model from Self-Consistent Combined GW and Dynamical Mean Field Theory
- Beyond extended dynamical mean-field theory: Dual boson approach to the two-dimensional extended Hubbard model
- Spectral Properties of Correlated Materials: Local Vertex and Non-Local Two-Particle Correlations from Combined GW and Dynamical Mean Field Theory
- Extended dynamical mean-field study of the Hubbard model with long range interactions
- On the dangers of partial diagrammatic summations: Benchmarks for the two-dimensional Hubbard model in the weak-coupling regime
- Plasmons in strongly correlated systems: spectral weight transfer and renormalized dispersion
- Dynamical correlations and screened exchange on the experimental bench: spectral properties of the cobalt pnictide BaCo2As2
Cited by in corpus (36)
- 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
- Multitier self-consistent +EDMFT
- Consistent partial bosonization of the extended Hubbard model
- Single-boson exchange decomposition of the vertex function
- Influence of Fock exchange in combined many-body perturbation and dynamical mean field theory
- Impact of partially bosonized collective fluctuations on electronic degrees of freedom
- Effective Heisenberg model and exchange interaction for strongly correlated systems
- Dual Boson Diagrammatic Monte Carlo Approach Applied to the Extended Hubbard Model
- Spin dynamics of itinerant electrons: local magnetic moment formation and Berry phase
- Efficient evaluation of the polarization function in dynamical mean-field theory
- Multiloop flow equations for single-boson exchange fRG
- Chiral d-wave Superconductivity in a Triangular Surface Lattice Mediated by Long-range Interaction
- Effective Ising model for correlated systems with charge ordering
- The (extended) dynamical mean field theory combined with the two-particle irreducible functional renormalization-group approach as a tool to study strongly-correlated systems
- Exact diagonalization solver for the extended dynamical mean-field theory
- Collective magnetic fluctuations in Hubbard plaquettes captured by fluctuating local field method
- Strongly correlated superconductivity with long-range spatial fluctuations
- Local and nonlocal electronic correlations at the metal-insulator transition in the Hubbard model in two dimensions
- Improved treatment of fermion-boson vertices and Bethe-Salpeter equations in non-local extensions of dynamical mean field theory
- Extended regime of coexisting metallic and insulating phases in a two-orbital electronic system
- Charge Density Wave Ordering in NdNiO: Effects of Multiorbital Nonlocal Correlations
- The extended Hubbard model with attractive interactions
- Improved effective vertices in the multi-orbital Two-Particle Self-Consistent method from Dynamical Mean-Field Theory
- Can Orbital-Selective Néel Transitions Survive Strong Nonlocal Electronic Correlations?
- Multi-channel fluctuating field approach to competing instabilities in interacting electronic systems
- Reciprocal space study of Heisenberg exchange interactions in ferromagnetic metals
- Non-local Correlation Effects in Fermionic Many-Body Systems: Overcoming the Non-causality Problem
- Coexistence of -wave superconductivity and phase separation in the half-filled extended Hubbard model with attractive interactions
- Spatial non-locality of electronic correlations beyond GW approximation
- Electron-magnon dynamics triggered by an ultrashort laser pulse: A real-time Dual study
- Nonequilibrium dual-boson approach
- Orbital isotropy of magnetic fluctuations in correlated electron materials induced by Hund's exchange coupling
- Dual-space cluster-diagrammatic approach to nonlocal electronic correlations
- Comparing the effective enhancement of local and non-local spin-orbit couplings on honeycomb lattices due to strong electronic correlations
- Multi-band D-TRILEX approach to materials with strong electronic correlations