The energy of the resonance soliton

Abstract

The resonance soliton, originally derived by Davydov and Kislukha, is a localized mobile exciton-phonon state whose energy lies below the bottom of the exciton band in a one-dimensional lattice. The soliton energy, as reported hereto, is proportional to the square of a dimensionless exciton-phonon coupling constant α2. It is shown that the soliton energy has a correction proportional to α, due to a redistribution of the phonon density of states. This term can dominate the soliton energy in the regime of validity of the theory α ≪ 1. The applications of this model and its relation to other theories are significantly affected. Show more