Optical conductivity of the one-dimensional dimerized Hubbard model at quarter filling
نویسندگان
چکیده
We investigate the optical conductivity in the Mott insulating phase of the one-dimensional extended Hubbard model with alternating hopping terms (dimerization) at quarter band filling. Optical spectra are calculated for the various parameter regimes using the dynamical density-matrix renormalization group method. The study of limiting cases allows us to explain the various structures found numerically in the optical conductivity of this model. Our calculations show that the dimerization and the nearest-neighbor repulsion determine the main features of the spectrum. The on-site repulsion plays only a secondary role. We discuss the consequences of our results for the theory of the optical conductivity in the Bechgaard salts. PACS. 71.10.Fd Lattice fermion models (Hubbard model, etc.) – 78.20.Bh Theory, models, and numerical simulation – 78.40.Me Organic compounds and polymers
منابع مشابه
Charge gap in the one-dimensional dimerized Hubbard model at quarter-filling.
We propose a quantitative estimate of the charge gap that opens in the onedimensional dimerized Hubbard model at quarter-filling due to dimerization, which makes the system effectively half–filled, and to repulsion, which induces umklapp scattering processes. Our estimate is expected to be valid for any value of the repulsion and of the parameter describing the dimerization. It is based on anal...
متن کاملOptical conductivity of the Hubbard model at finite temperature.
The optical conductivity, σ(ω), of the two dimensional one-band Hubbard model is calculated at finite temperature using exact diagonalization techniques on finite clusters. The in-plane d.c. resistivity, ρab, is also evaluated. We find that at large U/t and temperature T, ρab is approximately linear with temperature, in reasonable agreement with experiments on high-Tc superconductors. Moreover,...
متن کاملSpin density wave selection in the one-dimensional Hubbard model
The Hartree-Fock ground state phase diagram of the one-dimensional Hubbard model is calculated, constrained to uniform phases, which have no charge density modulation. The allowed solutions are saturated ferromagnetism (FM), a spiral spin density wave (SSDW) and a double spin density wave (DSDW). The DSDW phase comprises two canted interpenetrating antiferromagnetic sublattices. FM occurs for s...
متن کاملA dimerized spin fluid in a one-dimensional electron system
The ground state of a one-dimensional Hubbard model with a bond-charge attraction W term at half-filling is investigated by the density matrix renormalization group method. It is confirmed that the spin gap will be closed at U > 8W . But the long-range bond order wave survives even when the spin gap is closed. It indicates that the ground state is a novel dimerized spin fluid at U > 8W . By a c...
متن کاملar X iv : c on d - m at / 9 20 80 02 v 1 5 A ug 1 99 2 Transport Properties of the Infinite Dimensional Hubbard Model
Results for the optical conductivity and resistivity of the Hubbard model in infinite spatial dimensions are presented. At half filling we observe a gradual crossover from a normal Fermi-liquid with a Drude peak at ω = 0 in the optical conductivity to an insulator as a function of U for temperatures above the antiferromagnetic phase transition. When doped, the “insulator” becomes a Fermi-liquid...
متن کامل