Dynamical Mean Field Theory extension to the nonequilibrium Two-Particle Self-Consistent approach

Abstract

Nonlocal correlations play an essential role in correlated electron systems, especially in the vicinity of phase transitions and crossovers, where two-particle correlation functions display a distinct momentum dependence. In nonequilibrium settings, the effect of nonlocal correlations on dynamical phase transitions, prethermalization phenomena and trapping in metastable states is not well understood. In this paper, we introduce a dynamical mean field theory (DMFT) extension to the nonequilibrium Two-particle Self-Consistent (TPSC) approach, which allows to perform nonequilibrium simulations capturing short- and long-ranged nonlocal correlations in the weak-, intermediate- and strong-correlation regime. The method self-consistently computes local spin and charge vertices, from which a momentum-dependent self-energy is constructed. Replacing the local part of the self-energy by the DMFT result within this self-consistent scheme provides an improved description of local correlation effects. We explain the details of the formalism and the implementation, and demonstrate the versatility of DMFT+TPSC with lattice hopping quenches and dimensional crossovers in the Hubbard model.

arXiv comment27 pages, 31 figures

References in corpus (56)

• A continuous-time solver for quantum impurity models
• Nonequilibrium dynamical mean-field theory and its applications
• Prethermalization
• Interaction Quench in the Hubbard model
• Dynamical phase transition in correlated fermionic lattice systems
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• First principles approach to the electronic structure of strongly correlated systems: combining GW and DMFT
• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Polaron Problem by Diagrammatic Quantum Monte Carlo
• Nonequilibrium dynamical mean-field theory
• The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties
• A New Iterative Perturbation Scheme for Lattice Models with Arbitrary Filling
• Nonequilibrium dynamical mean-field calculations based on the non-crossing approximation and its generalizations
• Evidence for metastable photo-induced superconductivity in K${}_3$C${}_{60}$
• 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
• Diagrammatic Monte Carlo
• Mott physics and spin fluctuations: a unified framework
• Interaction quench in the Hubbard model: Relaxation of the spectral function and the optical conductivity
• Diagrammatic Monte Carlo for Correlated Fermions
• Nonthermal antiferromagnetic order and nonequilibrium criticality in the Hubbard model
• Ultrafast doublon dynamics in photo-excited 1T-TaS${}_2$
• NESSi: The Non-Equilibrium Systems Simulation package
• Influence of Spatial Correlations in Strongly Correlated Electron Systems: Extension to Dynamical Mean Field Approximation
• Photo-molecular high temperature superconductivity
• Theory of single-particle properties of the Hubbard model
• Mott physics and spin fluctuations: a functional viewpoint
• Ultrafast Angle-Resolved Photoemission Spectroscopy of Quantum Materials
• On the dangers of partial diagrammatic summations: Benchmarks for the two-dimensional Hubbard model in the weak-coupling regime
• Optical and DC conductivity of the two-dimensional Hubbard model in the pseudogap regime and across the antiferromagnetic quantum critical point, including vertex corrections
• Antiferromagnetic fluctuations and d-wave superconductivity in electron-doped high-temperature superconductors
• Nonequilibrium dynamical mean-field theory based on weak-coupling perturbation expansions: Application to dynamical symmetry breaking in the Hubbard model
• Generic optical excitations of correlated systems: $\pi$-tons
• Nonequilibrium Charge-Density-Wave Order Beyond the Thermal Limit
• FLEX+DMFT approach to the $d$-wave superconducting phase diagram of the two-dimensional Hubbard model
• Multi-band non-equilibrium GW+EDMFT formalism for correlated insulators
• Ultrafast renormalization of the onsite Coulomb repulsion in a cuprate superconductor
• Benchmark of a modified Iterated Perturbation Theory approach on the 3d FCC lattice at strong coupling
• Conservation in two-particle self-consistent extensions of dynamical-mean-field-theory
• Non-perturbative approach to the attractive Hubbard model
• Nonequilibrium dynamical mean-field theory for bosonic lattice models
• Nonequilibrium dynamical cluster theory
• Non-local correlations in Iron Pnictides and Chalcogenides
• Nonequilibrium Two-Particle Self-Consistent Approach
• Electronic and fluctuation dynamics following a quench to the superconducting phase
• Dynamical instabilities and transient short-range order in the fermionic Hubbard model
• Two-Particle Self-Consistent method for the multi-orbital Hubbard model
• Diagrammatic study of optical excitations in correlated systems
• Nonlocal corrections to dynamical mean-field theory from the two-particle self-consistent method
• Nonthermal excitonic condensation near a spin-state transition
• Improved effective vertices in the multi-orbital Two-Particle Self-Consistent method from Dynamical Mean-Field Theory
• Inhomogeneous disordering at a photo-induced charge density wave transition
• Decoupling of static and dynamic criticality in a driven Mott insulator
• Non-equilibrium evolution of the optical conductivity of the weakly interacting Hubbard model: Drude response and $\pi$-ton type vertex corrections
• Investigation of the Two-Particle-Self-Consistent Theory for the Single-Impurity Anderson Model and an Extension to the Case of Strong Correlation

Cited by in corpus (7)

• Spin Hall conductivity in the Kane-Mele-Hubbard model at finite temperature
• Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model
• Electron-magnon dynamics triggered by an ultrashort laser pulse: A real-time Dual $GW$ study
• Spin correlations in the bilayer Hubbard model with perpendicular electric field
• Multi-orbital two-particle self-consistent approach -- strengths and limitations
• Dual-space cluster-diagrammatic approach to nonlocal electronic correlations
• Superconductivity and the quasiparticle mass enhancement near the CDW critical point using Bethe-Salpeter method: Application to cuprates