Abstract
In this paper, we reexamine the effect of quantum lattice fluctuations in a half-filled quasi-one-dimensional electron-phonon coupling system by considering long-range electron-phonon correlation more precisely. Our results coincide with previous papers in the \ensuremath{\omega}=0 (adiabatic) and \ensuremath{\omega}=\ensuremath{\infty} cases. We note that the off-site electron-phonon correlation plays an important role in the order-disorder transition of the spinless case. But in the spin-1/2 case, the Peierls dimerization always exists. The effect of the off-site electron-phonon correlation is slight. Our results are in good agreement with Monte Carlo simulations, and the small squeezed-polaron approach is the special case of our method.
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