Charge susceptibility in the t-J model

Details Charge susceptibility in the t-J model Charge susceptibility in the t-J model

2006-03-07

arxiv.org/abs/cond-mat/0603161v2

Phys. Rev. B 74, 045124 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 11 figures, references added, explanations provided on the meaning and limitations of our formalism

Scientific paper

10.1103/PhysRevB.74.045124

Momentum and doping dependence of the static charge susceptibility \chi(q) in the t-t'-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 0.1-0.5. This effect is consistent with a tendency towards low-energy charge fluctuations with the wave vectors along the \Gamma-X 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 \chi(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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