Charge susceptibility in the tJ model

D. N. Aristov and G. Khaliullin
Phys. Rev. B 74, 045124 – Published 25 July 2006

Abstract

Momentum and doping dependence of the static charge susceptibility χ(q) in the ttJ model is investigated. Correlations lead to a strongly momentum-dependent renormalization of χ(q). The charge susceptibility near the (π,π) region of the Brillouin zone is strongly suppressed as the hole density δ is decreased. However, contrary to naive expectations, χ(q) around q=(π,0) and (0,π) remains large and practically unchanged at δ0.10.5. This effect is consistent with a tendency towards low-energy charge fluctuations with the wave vectors along the ΓX direction, reported in earlier studies. Our main finding is that the above trends are amplified by J-driven pairing effects, indicating that the pseudogap formation may promote the charge inhomogeneity. The next-nearest hopping t leads to weakening of the above momentum-selective renormalizations of χ(q). We analyze the effects of long-range Coulomb interaction, taking into account a layered structure of cuprates. As an application, the results are discussed in the context of bond-stretching phonon softening in hole-doped cuprates. In particular, a peculiar doping and momentum dependence of the electron-phonon coupling constant is found.

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  • Received 7 March 2006

DOI:https://doi.org/10.1103/PhysRevB.74.045124

©2006 American Physical Society

Authors & Affiliations

D. N. Aristov1,2,* and G. Khaliullin1

  • 1Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • 2Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, 70569 Stuttgart, Germany

  • *On leave from Petersburg Nuclear Physics Institute, Gatchina 188300, Russia.

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Issue

Vol. 74, Iss. 4 — 15 July 2006

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