Abstract
The effect of an on-site electron-phonon (e-ph) interaction is studied within the framework of an extended Hubbard model in one dimension. We have eliminated the local phonon coordinates using a modified Lang-Firsov transformation and diagonalized the effective electronic Hamiltonian by a real space renormalization group technique to determine the transition from a charge density wave (CDW) state to a spin density wave (SDW) state. It turns out that the CDW phase is favored by the e-ph coupling with an appreciable band-narrowing effect. In the SDW phase the distortions produced at nearest neighbor sites due to the e-ph interaction become comparable to the on-site distortions while this retardation effect is negligible in the CDW phase. \textcopyright{} 1996 The American Physical Society.
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