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Electron-phonon vertex in the two-dimensional one-band Hubbard model | | Z. B. Huang
; W. Hanke
; E. Arrigoni
; D. J. Scalapino
; | | Date: |
5 Jun 2003 | | Journal: | Phys. Rev. B 68, 220507(R) (2003) | | Subject: | Strongly Correlated Electrons | cond-mat.str-el | | Abstract: | 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. | | Source: | arXiv, cond-mat/0306131 | | Services: | Forum | Review | PDF | Favorites | |
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