Article
Horsch, P. & Khaliullin, G. Doping dependence of density response and bondstretching phonons in cuprates. Physica B 359361, 620622
Physica B Condensed Matter (Impact Factor: 1.32). 01/2005; 359361:620622. DOI: 10.1016/j.physb.2005.01.170
Source: arXiv
ABSTRACT
We explain the anomalous doping dependence of zone boundary $(\pi,0)$ and $(\pi,\pi)$ bondstretching phonons in the hightemperature superconductor La$_{2\delta}$Sr$_{\delta}$CuO$_4$ in the doping range $0<\delta<0.35$. Our calculations are based on a theory for the density response of doped MottHubbard insulators. Comment: 2 pages, 3 figures, SCES conference, Karlsruhe 2004
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 "In one of the first theoretical papers considering lattice vibrations in cuprates the phonon softening was found by exact diagonalization technique in the model where effective Hamiltonian was obtained from the threeband model [162]. Softening of the breathing q = (π, π) and halfbreathing q = (π, 0) phonons was calculated in [83] [84] [87] [92]. The calculation predicted dependence of the softening on the doping concentration which was later confirmed experimentally [95]. "
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ABSTRACT: A review of experimental and theoretical results on the spectroscopy of hightemperature superconductors is presented. The models where hole doped into antiferromagnet interacts both with magnetic subsystem and with phonons are considered. Theoretical results of these models for phonon spectra, angle resolved photoemission spectra, and optical conductivity are presented. Comparison with experimental data gives evidence for the strong electronphonon coupling in the undoped and weakly doped hightemperature superconductors. The strength of electronphonon coupling decreases with doping though at the optimal doping the compounds are still in the intermediate coupling regime.  [Show abstract] [Hide abstract]
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ABSTRACT: Momentum and doping dependence of the static charge susceptibility \chi(q) in the tt'J model is investigated. Correlations lead to a strongly momentum dependent renormalization of \chi(q). The charge susceptibility near (\pi,\pi) region of the Brillouin zone is strongly suppressed as the hole density \delta is decreased. However, contrary to naive expectations, \chi(q) around q = (\pi,0) and (0,\pi) remains large and practically unchanged at \delta \sim 0.10.5. This effect is consistent with a tendency towards lowenergy charge fluctuations with the wave vectors along the \GammaX direction, reported in earlier studies. Our main finding is that the above trends are amplified by Jdriven pairing effects, indicating that the pseudogap formation may promote the charge inhomogeneity. The nextnearest hopping t' leads to weakening of the above momentumselective renormalizations of \chi(q). We analyze the effects of longrange Coulomb interaction, taking into account a layered structure of cuprates. As an application, the results are discussed in the context of bondstretching phonon softening in holedoped cuprates. In particular, a peculiar doping and momentum dependence of the electronphonon coupling constant is found.