Charge susceptibility in the t-J model

Abstract

Momentum and doping dependence of the static charge susceptibility χ(q) in the t-t'-J model is investigated. Correlations lead to a strongly momentum dependent renormalization of χ(q). The charge susceptibility near (π,π) region of the Brillouin zone is strongly suppressed as the hole density δis decreased. However, contrary to naive expectations, χ(q) around q = (π,0) and (0,π) remains large and practically unchanged at δ\sim 0.1-0.5. This effect is consistent with a tendency towards low-energy charge fluctuations with the wave vectors along the Γ-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 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.

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

References in corpus (27)

• Correlated Electrons in High Temperature Superconductors
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper-oxide superconductors
• Polaron in t-J model
• Charge order, superconductivity, and a global phase diagram of doped antiferromagnets
• Competition Between Stripes and Pairing in a t-t'-J Model
• Competing orders and quantum criticality in doped antiferromagnets
• Phase separation at all interaction strengths in the t-J model
• Asymmetry of the electronic states in hole- and electron-doped cuprates: Exact diagonalization study of the t-t'-t''-J model
• Electron-phonon interaction in the t-J model
• Charge-density-waves and superconductivity as an alternative to phase separation in the infinite-U Hubbard-Holstein model
• Charge ordering and antiferromagnetic exchange in layered molecular crystals of the theta type
• Electron-phonon vertex in the two-dimensional one-band Hubbard model
• Superconducting charge-ordered states in cuprates
• Out-of-plane instability and electron-phonon contribution to s- and d-wave pairing in high-temperature superconductors; LDA linear-response calculation for doped CaCuO2 and a generic tight-binding model
• Ground State Properties of the Two-Dimensional t-J Model
• Spatially homogeneous ground state of the two-dimensional Hubbard model
• Anomalous Spin and Charge Dynamics of the 2D t-J Model at low doping
• Theory of the density fluctuation spectrum of strongly correlated electrons
• Spin and Charge Structure Factor of the 2-d Hubbard Model
• Apparent electron-phonon interaction in strongly correlated systems
• Stability of the spiral phase in the 2D extended t-J model
• Statics and dynamics of charge fluctuations in the t-J model
• Renormalization of the electron-phonon coupling in the one-band Hubbard model
• Compressibility of the Two-Dimensional infinite-U Hubbard Model
• Doping dependence of density response and bond-stretching phonons in cuprates

Cited by in corpus (5)

• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Evidence for forward scattering and coupling to acoustic phonon modes in high-T${}_c$ cuprate superconductors
• Phonon linewidth due to electron-phonon interactions with strong forward scattering in FeSe thin films on oxide substrates
• Collective spin and charge excitations in the $t$-$J$-$U$ model of high-$T_c$ cuprates
• Anomalous bond stretching phonons as a probe of charge fluctuations in perovskites