Optical conductivity of the half-filled Hubbard chain

Abstract

We combine well-controlled analytical and numerical methods to determine the optical conductivity of the one-dimensional Mott-Hubbard insulator at zero temperature. A dynamical density-matrix renormalization group method provides the entire absorption spectrum for all but very small coupling strengths. In this limit we calculate the conductivity analytically using exact field-theoretical methods. Above the Lieb-Wu gap the conductivity exhibits a characteristic square-root increase. For small to moderate interactions, a sharp maximum occurs just above the gap. For larger interactions, another weak feature becomes visible around the middle of the absorption band.

4 pages with 3 eps figures, published version (changes in text and references)

References in corpus (3)

• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Finite-frequency optical absorption in 1D conductors and Mott-Hubbard insulators
• A note on density correlations in the half-filled Hubbard model

Cited by in corpus (69)

• The density-matrix renormalization group
• The Kernel Polynomial Method
• Dynamical density-matrix renormalization-group method
• New Trends in Density Matrix Renormalization
• Spectral function of the one-dimensional Hubbard model away from half filling
• Variational matrix product ansatz for dispersion relations
• Non-linear doublon production in a Mott insulator --- Landau-Dykhne method applied to an integrable model
• Weakly coupled one-dimensional Mott insulators
• Exact Nonequilibrium Steady State of an Open Hubbard Chain
• Excitons in one-dimensional Mott insulators
• Optical excitations in a one-dimensional Mott insulator
• Low Temperature Lanczos Method
• Diffusive high-temperature transport in the one-dimensional Hubbard model
• Excitons in the One-Dimensional Hubbard Model: a Real-Time Study
• Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators
• Density-matrix renormalisation group approach to quantum impurity problems
• Transport properties of the one-dimensional Hubbard model at finite temperature
• Spin and charge dynamics of the one-dimensional extended Hubbard model
• Finite temperature dynamics of the Mott insulating Hubbard chain
• Exact diagonalization study of optical conductivity in two-dimensional Hubbard model
• Inhomogeneous Gutzwiller approximation with random phase fluctuations for the Hubbard model
• Driven Imposters: Controlling Expectations in Many-Body Systems
• Photoinduced $\eta$-pairing at finite temperatures
• Magnetization transport in spin ladders and next-nearest-neighbor chains
• Real-time dynamics in the one-dimensional Hubbard model
• Dynamical density matrix renormalization group study of photoexcited states in one-dimensional Mott insulators
• Dynamical Spin Response of Doped Two-Leg Hubbard-like Ladders
• Optical response in one dimensional Mott Insulators
• Density matrix renormalization group study of optical conductivity in the one-dimensional Mott insulator Sr_2CuO_3
• Dynamics of photoexcited states in one-dimensional dimerized Mott insulators
• Time and momentum-resolved tunneling spectroscopy of pump-driven non-thermal excitations in Mott insulators
• Excitonic effect on optical response in one-dimensional two-band Hubbard model
• Pseudoparticle approach to 1D integrable quantum models
• Nonlinear Optical Response in two-dimensional Mott Insulators
• Dynamical density correlation function of 1D Mott insulators in a magnetic field
• Photoinduced electron-electron pairing in the extended Falicov-Kimball model
• Doping of a One-Dimensional Mott Insulator: Photoemision and Optical Studies of Sr${}_2$CuO${}_{3+\delta }$
• Variational description of the ground state of the repulsive two-dimensional Hubbard model in terms of nonorthogonal symmetry-projected Slater determinants
• Charge dynamics of correlated electrons: Variational description with inclusion of composite fermions
• Nonequilibrium optical response of a one-dimensional Mott insulator
• Low-temperature density matrix renormalization group using regulated polynomial expansion
• Absence of ballistic charge transport in the half-filled 1D Hubbard model
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• Wave packet dynamics in the one-dimensional extended Hubbard model
• Optical conductivity of the one-dimensional dimerized Hubbard model at quarter filling
• Charge and Spin Transport in the One-dimensional Hubbard Model
• Optical conductivity of the Hubbard chain away from half filling
• 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
• Blind deconvolution of density-matrix renormalization-group spectra
• One-Dimensional Quantum Transport Affected by a Background Medium: Fluctuations versus Correlations
• A charge model as an effective model of one-dimensional Hubbard and extended Hubbard systems: its application to linear optical spectrum calculations in large systems based upon many-body Wannier functions
• Mobile impurity approach to the optical conductivity in the Hubbard chain
• Wannier-Stark ladders and Stark shifts of excitons in Mott insulators
• Photoinduced $\eta$-pairing in One-dimensional Mott Insulators
• Multi-reference symmetry-projected variational approximation for the ground state of the doped one-dimensional Hubbard model
• From Luttinger to Fermi liquids in organic conductors
• Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains
• Dynamical correlation functions for the one-dimensional Bose-Hubbard insulator
• Universal thermodynamics of the one-dimensional attractive Hubbard model
• Excited states of defect lines in silicon: A first-principles study based on hydrogen cluster analogues
• Synergetic effect of spin-orbit coupling and Zeeman splitting on the optical conductivity in the one-dimensional Hubbard model
• Optical conductivity of one-dimensional doped Hubbard-Mott insulator
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Excited states of a phosphorus pair in silicon: Effects of valley-orbital interaction and electron-electron interactions
• Displaced Drude peak from $\pi$-ton vertex corrections
• Quasiparticle Description of Angle-Resolved Photoemission Spectroscopy for SrCuO2
• Optical conductivity of a quasi-one-dimensional system with fluctuating order
• Optical absorption preceding resonant double photoionization of aromatic hydrocarbons hydrocarbons
• Real-time density matrix renormalization group dynamics of spin and charge transport in push-pull polyenes and related systems