Density response of the t-J model and renormalization of breathing and half-breathing phonon modes: A slave-fermion calculation

Details Density response of the t-J model and renormalization of breathing and half-breathing phonon modes: A slave-fermion calculation Density response of the t-J model and renormalization of breathing and half-breathing phonon modes: A slave-fermion calculation

2001-08-17

arxiv.org/abs/cond-mat/0108279v1

Physica C 341-348, 117 (2000)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, `Materials and Mechanisms of Superconductivity VI' conference, Houston, USA, Febr. 20-25, 2000

Scientific paper

The density fluctuation spectrum $N({\bf k},\omega)$ is calculated for the t-J model in the low-doping regime using a slave-fermion method for the constrained fermions. The obtained results for $N({\bf k},\omega)$ are in good agreement with diagonalization results. The density response is characterized by incoherent, momentum dependent spectral functions reaching up to energies $\sim 8t$ and a low-energy structure at energy $\sim J$ due to transitions in the quasiparticle band. $N({\bf k},\omega)$ is shown to lead to a strong renormalization of planar bond-streching and breathing phonon modes with a large phonon linewidth at intermediate momenta caused by the low-energy response. Our results are consistent with recent neutron scattering data, showing the peculiar behavior of these modes.

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