Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2003-12-29
Phys. Rev. B 69, 161101 (2004)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, eps figures included
Scientific paper
10.1103/PhysRevB.69.161101
In this paper we employ a gaussian expansion within the finite-$U$ slave-bosons formalism to investigate the momentum structure of the electron-phonon vertex function in the Hubbard model as function of $U$ and $n$. The suppression of large momentum scattering and the onset a small-${\bf q}$ peak structure, parametrized by a cut-off $q_c$, are shown to be essentially ruled by the band narrowing factor $Z_{\rm MF}$ due to the electronic correlation. A phase diagram of $Z_{\rm MF}$ and $q_c$ in the whole $U$-$n$ space is presented. Our results are in more than qualitative agreement with a recent numerical analysis and permit to understand some anomalous features of the Quantum Monte Carlo data.
Cappelluti Emmanuele
Cerruti Benedetta
Pietronero Luciano
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