Stability of correlated electronic systems under the influence of the electron-phonon interaction

Physics – Condensed Matter

Scientific paper

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10 pages, 2 Postscript figures

Scientific paper

10.1016/0038-1098(96)00307-9

We have used an exact diagonalization technique to study the stability of the $t-J$-Holstein and Hubbard-Holstein models under the influence of the electron-phonon interaction. Previous results have been obtained using frozen-phonon technique or introducing only a few dynamical phonon modes due to the large Hilbert space. To check these results we have done exact diagonalization in a small cluster (four sites) including all the phonon modes allowed by symmetry. We compare our results with those obtained by using the adiabatic approximation.

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