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.

27 pages, 31 figures

References in corpus (15)

• Interaction Quench in the Hubbard model
• Dynamical phase transition in correlated fermionic lattice systems
• 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
• Nonthermal antiferromagnetic order and nonequilibrium criticality in the Hubbard model
• Influence of Spatial Correlations in Strongly Correlated Electron Systems: Extension to Dynamical Mean Field Approximation
• 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
• Conservation in two-particle self-consistent extensions of dynamical-mean-field-theory
• Nonequilibrium dynamical mean-field theory for bosonic lattice models
• Nonequilibrium Two-Particle Self-Consistent Approach
• Nonlocal corrections to dynamical mean-field theory from the two-particle self-consistent method
• Improved effective vertices in the multi-orbital Two-Particle Self-Consistent method from Dynamical Mean-Field Theory
• Decoupling of static and dynamic criticality in a driven Mott insulator
• Inhomogeneous disordering at a photo-induced charge density wave transition

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