Solitons in polyacetylene and relativistic-field-theory models

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 [${\left(\mathrm{CH}\right)}_x$]. This solution is in good agreement with recent numerical simulations in a discrete model of ${\left(\mathrm{CH}\right)}_x$. We discuss further areas in which known field-theory results may apply to ${\left(\mathrm{CH}\right)}_x$.