The influence of quantum lattice fluctuations on the one-dimensional Peierls instability

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Abstract
The interplay between quantum lattice and electronic fluctuations in one-dimensional molecular crystal electron-phonon system is analyzed by a path integral approach. By means of a high temperature renormalization group method, it is shown how a quantum Ginzburg-Landau-Wilson functional of the phonon field can be generated. Using a single-loop decoupling for the mode-mode interaction of the phonon field, it is shown how quantum lattice fluctuations leads to a continuous suppression of the Peierls instability. In the half-filled band case, a detailed analysis is made for electrons with an without spins. The effect of direct electron-electron interaction is considered and a comparaison with the Monte Carlo results of Hirsch and Fradkin for the same model is made