Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2003-06-05
Phys. Rev. B 68, 220507(R) (2003)
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, 4 eps-figures, minor changes
Scientific paper
10.1103/PhysRevB.68.220507
Using quantum Monte Carlo techniques, we study the effects of electronic correlations on the effective electron-phonon (el-ph) coupling in a two-dimensional one-band Hubbard model. We consider a momentum-independent bare ionic el-ph coupling. In the weak- and intermediate-correlation regimes, we find that the on-site Coulomb interaction $U$ acts to effectively suppress the ionic el-ph coupling at all electron- and phonon- momenta. In this regime, our numerical simulations are in good agreement with the results of perturbation theory to order $U^2$. However, entering the strong-correlation regime, we find that the forward scattering process stops decreasing and begins to substantially increase as a function of $U$, leading to an effective el-ph coupling which is peaked in the forward direction. Whereas at weak and intermediate Coulomb interactions, screening is the dominant correlation effect suppressing the el-ph coupling, at larger $U$ values irreducible vertex corrections become more important and give rise to this increase. These vertex corrections depend crucially on the renormalized electronic structure of the strongly correlated system.
Arrigoni Enrico
Hanke Werner
Huang Z. B.
Scalapino Douglas J.
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