Nonequilibrium sum rules for the retarded self-energy of strongly correlated electrons

Abstract

We derive the first two moment sum rules of the conduction electron retarded self-energy for both the Falicov-Kimball model and the Hubbard model coupled to an external spatially uniform and time-dependent electric field (this derivation also extends the known nonequilibrium moment sum rules for the Green's functions to the third moment). These sum rules are used to further test the accuracy of nonequilibrium solutions to the many-body problem; for example, we illustrate how well the self-energy sum rules are satisfied for the Falicov-Kimball model in infinite dimensions and placed in a uniform electric field turned on at time t=0. In general, the self-energy sum rules are satisfied to a significantly higher accuracy than the Green's functions sum rules.

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Cited by in corpus (19)

• Nonequilibrium dynamical mean-field theory and its applications
• A BCS-BEC crossover in the extended Falicov-Kimball model: Variational cluster approach
• Steady-state nonequilibrium density of states of driven strongly correlated lattice models in infinite dimensions
• Time-resolved photoemission of correlated electrons driven out of equilibrium
• Self-energy and Fermi surface of the 2-dimensional Hubbard model
• Non-equilibrium cluster-perturbation theory
• Dynamical Mean-Field Theory for Molecules and Nanostructures
• Improving the efficiency of ultracold dipolar molecule formation by first loading onto an optical lattice
• Dynamical mean-field theory for light fermion--heavy boson mixtures on optical lattices
• Minimal Effective Gibbs Ansatz (MEGA): A simple protocol for extracting an accurate thermal representation for quantum simulation
• Exact solution for Bloch oscillations of a simple charge-density-wave insulator
• Inhomogeneous spectral moment sum rules for the retarded Green function and self-energy of strongly correlated electrons or ultracold fermionic atoms in optical lattices
• Nonadiabatic Time-Dependent Spin-Density Functional Theory for strongly correlated systems
• Brillouin-zone integration scheme for many-body density of states: Tetrahedron method combined with cluster perturbation theory
• Spectral moment sum rules for the retarded Green's function and self-energy of the inhomogeneous Bose-Hubbard model in equilibrium and nonequilibrium
• Temporal response of nonequilibrium correlated electrons
• Moment-functional based spectral density-functional theory
• Nonequilibrium spectral moment sum rules of the Holstein-Hubbard model
• Nonequilibrium sum rules for the Holstein model