Many-Body Approximation Scheme Beyond GW

Abstract

We explore the combination of the extended dynamical mean field theory (EDMFT) with the GW approximation (GWA); the former sums the local contributions to the self-energies to infinite order in closed form and the latter handles the non-local ones to lowest order. We investigate the different levels of self-consistency that can be implemented within this method by comparing to the exact QMC solution of a finite-size model Hamiltonian. We find that using the EDMFT solution for the local self-energies as input to the GWA for the non-local self-energies gives the best result.

4 pages, 8 figures

References in corpus (14)

• The GW method
• First principles approach to the electronic structure of strongly correlated systems: combining GW and DMFT
• Extended Dynamical Mean Field Theory and GW method
• Kosterlitz-Thouless Transition and Short Range Spatial Correlations in an Extended Hubbard Model
• The Band-Gap Problem in Semiconductors Revisited: Effects of Core States and Many-Body Self-Consistency
• All-electron GW approximation with the mixed basis expansion based on the full-potential LMTO method
• Spatial Correlations in Dynamical Mean Field Theory
• Effect of Semicore Orbitals on the Electronic Band Gaps of Si, Ge, and GaAs within the GW Approximation
• Effective action approach to strongly correlated fermion systems
• Self-Consistent Calculation of Total Energies of the Electron Gas Using Many-Body Perturbation Theory
• Spectra and total energies from self-consistent many-body perturbation theory
• The anharmonic electron-phonon problem
• Assessment of the GW approximation using Hubbard chains
• Effects of Boson Dispersion in Fermion-Boson Coupled Systems

Cited by in corpus (50)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• 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
• Screening and Non-local Correlations in the Extended Hubbard Model from Self-Consistent Combined GW and Dynamical Mean Field Theory
• Mott physics and spin fluctuations: a unified framework
• Pseudogaps in Strongly Correlated Metals: A generalized dynamical mean-field theory approach
• Long-range Coulomb interactions in surface systems: a first principles description within self-consistently combined GW and dynamical mean field theory
• Combined GW and dynamical mean field theory: Dynamical screening effects in transition metal oxides
• Spectral Properties of Correlated Materials: Local Vertex and Non-Local Two-Particle Correlations from Combined GW and Dynamical Mean Field Theory
• Mott physics and spin fluctuations: a functional viewpoint
• Extended dynamical mean-field study of the Hubbard model with long range interactions
• Screening in 2D: GW calculations for surfaces and thin films using the repeated-slab approach
• Screened Coulomb interaction calculations: cRPA implementation and applications to dynamical screening and self-consistency in uranium dioxide and cerium
• Efficient Formulation of Ab Initio Quantum Embedding in Periodic Systems: Dynamical Mean-Field Theory
• Mott physics and collective modes: an atomic approximation of the four-particle irreducible functional
• Dynamical Screening Effects in Correlated Electron Materials -- A Progress Report on Combined Many-Body Perturbation and Dynamical Mean Field Theory: "GW+DMFT"
• Intermediate Coupling Model of the Cuprates
• Influence of Fock exchange in combined many-body perturbation and dynamical mean field theory
• Combined local-density and dynamical mean field theory calculations for the compressed lanthanides Ce, Pr, and Nd
• Exotic s-wave superconductivity in alkali-doped fullerides
• The Fierz convergence criterion: a controlled approach to strongly-interacting systems with small embedded clusters
• Impact of partially bosonized collective fluctuations on electronic degrees of freedom
• Dielectric anisotropy in the GW space-time method
• ComDMFT: a Massively Parallel Computer Package for the Electronic Structure of Correlated-Electron Systems
• Correlated materials design: prospects and challenges
• TRILEX and $GW$+EDMFT approach to $d$-wave superconductivity in the Hubbard model
• Accuracy of downfolding based on the constrained random phase approximation
• Exact Kohn-Sham eigenstates versus quasiparticles in simple models of strongly correlated electrons
• QSGW+DMFT: an electronic structure scheme for the iron pnictides and beyond
• Low-energy effective Hamiltonians for correlated electron systems beyond density functional theory
• Quasiparticle self-consistent GW study of cuprates: electronic structure, model parameters, and the two-band theory for Tc
• Chiral d-wave Superconductivity in a Triangular Surface Lattice Mediated by Long-range Interaction
• Local Self-Energy Approach For Electronic Structure Calculations
• Conserving quasiparticle calculations for small metal clusters
• Analytic evaluation of the electronic self-energy in the GW approximation for two electrons on a sphere
• Uncertainty principle for experimental measurements: Fast versus slow probes
• Local and nonlocal electronic correlations at the metal-insulator transition in the Hubbard model in two dimensions
• Consequences of the local spin self-energy approximation on the heavy Fermion quantum phase transition
• Competition between antiferromagnetic and charge density wave fluctuations in the extended Hubbard model
• Improved effective vertices in the multi-orbital Two-Particle Self-Consistent method from Dynamical Mean-Field Theory
• Model-mapped RPA for determining the effective Coulomb interaction
• Pseudogap behaviour in Bi2212: Results of Generalized DMFT Approach
• Model Hamiltonian for strongly-correlated systems: Systematic, self-consistent, and unique construction
• Closing in on possible scenarios for infinite-layer nickelates: comparison of dynamical mean-field theory with angular-resolved photoemission spectroscopy
• CDMFT+HFD : an extension of dynamical mean field theory for nonlocal interactions applied to the single band extended Hubbard model
• Slave rotor approach to dynamically screened Coulomb interactions in solids
• Electron-magnon dynamics triggered by an ultrashort laser pulse: A real-time Dual $GW$ study
• Novel approaches to spectral properties of correlated electron materials: From generalized Kohn-Sham theory to screened exchange dynamical mean field theory
• Dual-space cluster-diagrammatic approach to nonlocal electronic correlations
• Multi-band D-TRILEX approach to materials with strong electronic correlations