Excitons in the One-Dimensional Hubbard Model: a Real-Time Study

Abstract

We study the real-time dynamics of a pair hole/doubly-occupied-site, namely a holon and a doublon, in a 1D Hubbard insulator with on-site and nearest-neighbor Coulomb repulsion. Our analysis shows that the pair is long-lived and the expected decay mechanism to underlying spin excitations is actually inefficient. For a nonzero inter-site Coulomb repulsion, we observe that part of the wave-function remains in a bound state. Our study also provides insight on the holon-doublon propagation in real space. Due to the one-dimensional nature of the problem, these particles move in opposite directions even in the absence of an applied electric field. The potential relevance of our results to solar cell applications is discussed.

To Appear in Phys. Rev. Lett

References in corpus (13)

• The density-matrix renormalization group
• Correlated Electrons in High Temperature Superconductors
• Complexity in Strongly Correlated Electronic Systems
• Real time evolution using the density matrix renormalization group
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• New Trends in Density Matrix Renormalization
• Ground-state phase diagram of a half-filled one-dimensional extended Hubbard model
• Optical conductivity of the half-filled Hubbard chain
• Excitons in one-dimensional Mott insulators
• Optical excitations in a one-dimensional Mott insulator
• Optical absorption of strongly correlated half-filled Mott-Hubbard chains
• Resonant inelastic x-ray scattering in one-dimensional copper oxides
• Excitonic effect on optical response in one-dimensional two-band Hubbard model

Cited by in corpus (49)

• Ultrafast charge recombination in photoexcited Mott-Hubbard insulator
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Mechanism of Ultrafast Relaxation of a Photo-Carrier in Antiferromagnetic Spin Background
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Role of impact ionization in the thermalization of photo-excited Mott insulators
• Doublon dynamics in the extended Fermi Hubbard model
• Lightcone renormalization and quantum quenches in one-dimensional Hubbard models
• Enhanced charge order in a photoexcited one-dimensional strongly correlated system
• Relaxation Dynamics of Photocarriers in One-Dimensional Mott Insulators Coupled to Phonons
• Quantum Dynamics of a Driven Correlated System Coupled to Phonons
• Multiplons in the two-hole excitation spectra of the one-dimensional Hubbard model
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Time-dependent variational principle with controlled bond expansion for matrix product states
• Real-time dynamics of particle-hole excitations in Mott insulator-metal junctions
• Time and momentum-resolved tunneling spectroscopy of pump-driven non-thermal excitations in Mott insulators
• Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
• Filling-dependent doublon dynamics in the one-dimensional Hubbard model
• Time Evolution with the DMRG Algorithm: A Generic Implementation for Strongly Correlated Electronic Systems
• Spin-Mediated Mott Excitons
• Photoinduced Hund excitons in the breakdown of a two-orbital Mott insulator
• Nonequilibrium optical response of a one-dimensional Mott insulator
• Wave packet dynamics in the one-dimensional extended Hubbard model
• Confinement: a real-time visualization
• Dynamics of doublon-holon pairs in Hubbard two-leg ladders
• Transient dynamics of a magnetic impurity coupled to superconducting electrodes: exact numerics versus perturbation theory
• Excitonic optical spectra and energy structures in a one-dimensional Mott insulator demonstrated by applying a many-body Wannier functions method to a charge model
• Glassy dynamics of the one-dimensional Mott insulator excited by a strong terahertz pulse
• Relaxation of photoexcitations in polaron-induced magnetic microstructures
• Dynamical simulations of carotenoid photoexcited states using density matrix renormalization group techniques
• Pump-probe spectroscopy of the one-dimensional extended Hubbard model at half filling
• Magnetic Doublon Bound States in the Kondo Lattice Model
• Anomalous suppression of photo-induced in-gap weight in the optical conductivity of a two-leg Hubbard ladder
• Site-selective doublon-holon dynamics in a pumped one-dimensional Hubbard superlattice with staggered Coulomb interactions
• Non-linear response to electric field in extended Hubbard models
• Excited states of defect lines in silicon: A first-principles study based on hydrogen cluster analogues
• Electron-Electron interactions, topological phase and optical properties of a charged artificial benzene ring
• Characterization of photoexcited states in the half-filled one-dimensional extended Hubbard model assisted by machine learning
• Excited states of a phosphorus pair in silicon: Effects of valley-orbital interaction and electron-electron interactions
• Spinon and eta-spinon correlation functions
• Dynamical symmetry between spin and charge excitations studied by a plaquette mean-field approach in two dimensions
• Particle-hole bound states of dipolar molecules in optical lattice
• Photoinduced excitonic magnetism in a multiorbital Hubbard system
• Single-hole spectral functions in one-dimensional quantum magnets with different ground states
• Photoemission Signatures of Photoinduced Carriers and Excitons in One-Dimensional Mott Insulators
• Excitonic correlations in the system of gated metallic wires with the applied Zeeman magnetic field
• Energy current and energy fluctuations in driven quantum wires
• Electron charge dynamics and charge separation: A response theory approach