Optical absorption of strongly correlated half-filled Mott-Hubbard chains

Abstract

In this last of three articles on the optical absorption of electrons in a half-filled Peierls-distorted chain we address the dimerized extended Hubbard model in the limit of a large on-site interaction $U$. When the Hubbard interaction is large both compared to the band width $W$ and the nearest neighbor interaction $V$ the charge dynamics is properly described by the Harris-Lange model. This model can be exactly mapped onto a model of free spinless Fermions in parallel (Hubbard-)bands of width $W$ which are eventually Peierls-split. To determine the coherent absorption features at low temperatures we design and employ the ``no-recoil approximation'' in which we assume that the momentum transfer to the spin degrees of freedom can only be $\Delta q_S=0$ or $\Delta q_S=\pi /a$ during an optical excitation. We present explicit analytical results for the optical absorption in the presence of a lattice dimerization $\delta$ and a nearest-neighbor interaction $V$ for the Néel and dimer state. We find that the coherent part of the optical absorption for $V=0$ is given by a single peak at $\omega =U$ and broad but weak absorption bands for $W\delta \le |\omega -U|\le W$. The central peak at $\omega =U$ only vanishes for $\delta =0$ in the Néel state. For an appreciable nearest neighbor interaction $V>W/2$ almost all spectral weight is transferred to the $\Delta q_C=0$-exciton and the $\Delta q_C=\pi /a$-exciton whose relative spectral weights very sensitively depend on both the lattice and the spin dimerization of the ground state.

29 pages REVTEX 3.0, 5 postscript figures; hardcopy versions before May 96 are obsolete; accepted for publication in The Philosophical Magazine B

References in corpus (6)

• Correlated Electrons in High Temperature Superconductors
• Scaling theory of the Mott-Hubbard metal-insulator transition in one dimension
• Deducing correlation parameters from optical conductivity in the Bechgaard salts
• Optical absorption of non-interacting tight-binding electrons in a Peierls-distorted chain at half band-filling
• Exact results for the optical absorption of strongly correlated electrons in a half-filled Peierls-distorted chain
• New Types of Off-Diagonal Long Range Order in Spin-Chains

Cited by in corpus (38)

• Dynamical density-matrix renormalization-group method
• Ground-state phase diagram of a half-filled one-dimensional extended Hubbard model
• Nonlinear optical response and spin-charge separation in one-dimensional Mott insulators
• Excitons in one-dimensional Mott insulators
• Optical conductivity of the half-filled Hubbard chain
• THz-Frequency Modulation of the Hubbard U in an Organic Mott Insulator
• Optical excitations in a one-dimensional Mott insulator
• Excitons in the One-Dimensional Hubbard Model: a Real-Time Study
• Dynamical density-density correlations in one-dimensional Mott insulators
• Peierls instability and optical response in the one--dimensional half--filled Holstein model of spinless fermions
• Optical absorption of non-interacting tight-binding electrons in a Peierls-distorted chain at half band-filling
• Exact results for the optical absorption of strongly correlated electrons in a half-filled Peierls-distorted chain
• Finite-frequency optical absorption in 1D conductors and Mott-Hubbard insulators
• Dynamical density matrix renormalization group study of photoexcited states in one-dimensional Mott insulators
• Optical response in one dimensional Mott Insulators
• Exact Solution of the strong coupling t-V model with twisted boundary conditions
• Dynamics of photoexcited states in one-dimensional dimerized Mott insulators
• Nonlinear Optical Response in two-dimensional Mott Insulators
• Pseudoparticle approach to 1D integrable quantum models
• Exciton doublet in the Mott-Hubbard LiCuVO${}_4$ insulator identified by spectral ellipsometry
• Dynamical correlations in one-dimensional charge-transfer insulators
• Dynamical density correlation function of 1D Mott insulators in a magnetic field
• Density-matrix renormalization group study of optical conductivity of the Mott insulator for two-dimensional clusters
• Absence of ballistic charge transport in the half-filled 1D Hubbard model
• Nonequilibrium optical response of a one-dimensional Mott insulator
• Optical conductivity of the one-dimensional dimerized Hubbard model at quarter filling
• Charge-Transfer Excitations in One-Dimensional Dimerized Mott Insulators
• Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
• Glassy dynamics of the one-dimensional Mott insulator excited by a strong terahertz pulse
• Temperature and Dimensionality Dependences of Optical Absorption Spectra in Mott Insulators
• Anomalous suppression of photo-induced in-gap weight in the optical conductivity of a two-leg Hubbard ladder
• Optical excitations of Peierls-Mott insulators with bond disorder
• Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains
• Optical conductivity of one-dimensional doped Hubbard-Mott insulator
• Critical Properties in Dynamical Charge Correlation Function for the One-Dimensional Mott Insulator
• Double-Pulse Deexcitations in a One-Dimensional Strongly Correlated System
• Anisotropic optical response of the mixed-valent Mott-Hubbard insulator NaCu2O2
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry