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Solitons in polyacetylene and relativistic-field-theory models

David CampbellTheoretical Division and Center for Nonlinear Studies, University of California, Los Alamos National Laboratory, Los Alamos, New Mexico 87545A. R. BishopTheoretical Division and Center for Nonlinear Studies, University of California, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
1981en
ABI

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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 ${(\mathrm{CH})}_{x}$.

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