Intersoliton hopping in lightly doped polyacetylene: Assistance by vibrational motion of the dopant

Abstract

The rate of intersoliton hopping associated with the interchain conduction mechanism in lightly doped polyacetylene has been studied explicitly including a certain vibrational motion of the dopant molecule. The model system which was used consists of a neutral soliton and a charged soliton alternating between these chains. Conventional time-dependent perturbation theory was applied to the effective Hamiltonian developed here to study the system. We find that, under the assistance of the vibrational motion of the dopant along the axis between the two soliton sites, the rate of this intersoliton hopping is largely accelerated up to the order of that of the vibrational motion.