Nonlinear response of Bloch electrons in infinite dimensions
arXiv:cond-mat/0408455 · doi:10.1103/PhysRevB.71.085104
Abstract
The exact nonlinear response of noninteracting (Bloch) electrons is examined within a nonequilibrium formalism on the infinite-dimensional hypercubic lattice. We examine the effects of a spatially uniform, but time-varying electric field (ignoring magnetic-field effects). The electronic Green's functions, Wigner density of states, and time-varying current are all determined and analyzed. We study both constant and pulsed electric fields, focusing on the transient response region. These noninteracting Green's functions are an important input into nonequilibrium dynamical mean field theory for the nonlinear response of strongly correlated electrons.
11 pages 6 figures
References in corpus (2)
Cited by in corpus (53)
- Nonequilibrium dynamical mean-field theory and its applications
- Nonequilibrium dynamical mean-field theory
- Ultrafast and reversible control of the exchange interaction in Mott insulators
- Correlated electron systems periodically driven out of equilibrium: Floquet + DMFT formalism
- Nonthermal steady states after an interaction quench in the Falicov-Kimball model
- Theory of Anderson pseudospin resonance with Higgs mode in superconductors
- Interaction quench in the Hubbard model: Relaxation of the spectral function and the optical conductivity
- Nonequilibrium Steady State of Photoexcited Correlated Electrons in the Presence of Dissipation
- Quenching Bloch oscillations in a strongly correlated material
- Theoretical description of high-order harmonic generation in solids
- Steady-state nonequilibrium density of states of driven strongly correlated lattice models in infinite dimensions
- Theory of time-resolved optical spectroscopy on correlated electron systems
- Ultrafast Quenching of the Exchange Interaction in a Mott Insulator
- Electric-field-driven resistive switching in dissipative Hubbard model
- Non-equilibrium dynamics of the driven Hubbard model
- Field-induced polaron formation in the Holstein-Hubbard model
- Nonlinear light-Higgs coupling in superconductors beyond BCS: Effects of the retarded phonon-mediated interaction
- Nonequilibrium steady states of the electric-field-driven Mott insulator: Thermalization, emergent Wannier-Stark ladder, and dielectric breakdown
- Mapping of the unoccupied states and relevant bosonic modes via the time dependent momentum distribution
- Time evolution of the Kondo resonance in response to a quench
- Solution of electric-field-driven tight-binding lattice in contact with fermion reservoir
- Positivity of the spectral densities of retarded Floquet Green functions
- Dielectric breakdown of Mott insulators -- doublon production and doublon heating
- Nonequilibrium sum rules for the retarded self-energy of strongly correlated electrons
- Gauge invariance in the theoretical description of time-resolved angle-resolved pump/probe photoemission spectroscopy
- Emergence of Floquet Behavior for Lattice Fermions Driven by Light Pulses
- Nonequilibrium perturbation theory of the spinless Falicov-Kimball model
- Energy dissipation in DC-field driven electron lattice coupled to fermion baths
- Dynamical Mean-Field Theory
- Time-domain pumping a quantum-critical charge-density-wave-ordered material
- Theoretical description of pump/probe experiments in electron mediated charge-density-wave insulators
- Inhomogeneous spectral moment sum rules for the retarded Green function and self-energy of strongly correlated electrons or ultracold fermionic atoms in optical lattices
- Correlated Mott insulators in strong electric fields: Role of phonons in heat dissipation
- Density-functional theory of nonequilibrium tunneling
- Einstein relation for a driven disordered quantum chain in subdiffusive regime
- Nonequilibrium charge transport through Falicov-Kimball structures connected to metallic leads
- Nonequilibrium RIXS study of an electron-phonon model
- Memory-Efficient Nonequilibrium Green's Function Framework Built On Quantics Tensor Trains
- Nonequilibrium response of an electron mediated charge-density-wave-ordered material to a large dc electric field
- Interpreting pulse-shape effects in pump-probe spectroscopies
- Nonequilibrium dynamical mean-field theory for the charge-density-wave phase of the Falicov-Kimball model
- Photoinduced prethermalization phenomena in correlated metals
- Pulsed high harmonic generation of light due to pumped Bloch oscillations in noninteracting metals
- Steady-state nonequilibrium dynamical mean-field theory and the quantum Boltzman
- Impact of disorder and phonons on the Hubbard bands of Mott insulators in strong electric fields
- Exact solution for high harmonic generation and the response to an ac driving field for a charge density wave insulator
- Photodriven Mott insulating heterostructures: A steady-state study of impact ionization processes
- Nonequilibrium DMFT approach to time-resolved Raman spectroscopy
- Phases of translation-invariant systems out of equilibrium: Iterative Green's function techniques and renormalization group approaches
- Relaxation of nonequilibrium populations after a pump: the breaking of Mathiessens rule
- Impurity problems for steady-state nonequilibrium dynamical mean-field theory
- Optically induced magnetic inertia and magnons from non-Markovian extension of the Landau-Lifshitz-Gilbert equation
- DC electric field driven discretization of single-particle excitation spectra in a Mott insulator