Solitons in polyacetylene and relativistic-field-theory models

Abstract

Using recent results on a model relativistic field theory, we find explicitly a new solitonlike solution, essentially the conventional strong polaron, in the continuum interacting electron-phonon model of a Peierls-dimerized chain such as polyacetylene [${(\mathrm{CH})}_{x}$]. This solution is in good agreement with recent numerical simulations in a discrete model of ${(\mathrm{CH})}_{x}$. We discuss further areas in which known field-theory results may apply to ${(\mathrm{CH})}_{x}$.