Destruction of Peierls dimerization in the molecular crystal model: Effects of quantum phonon fluctuations

Effects of quantum phonon fluctuations on the Peierls dimerization in the one-dimensional molecular crystal model are reexamined by a functional integral approach. An equation for the dimerization order parameter is obtained within a one-loop approximation. The destruction of Peierls dimerization is found by taking the quantum phonon fluctuations into account for the spin-1/2 electron system. The consistency and discrepancy of the result with previous ones are discussed.