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

TL;DR

This paper investigates how quantum phonon fluctuations can destroy Peierls dimerization in a one-dimensional molecular crystal model using a functional integral approach, providing new insights into the stability of the dimerized phase.

Contribution

It introduces a one-loop approximation equation for the dimerization order parameter considering quantum phonon fluctuations, revealing conditions for the destruction of Peierls dimerization.

Findings

Quantum phonon fluctuations can destroy Peierls dimerization.

Derived an equation for the dimerization order parameter.

Discussed the consistency with previous studies.

Abstract

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.