Abstract
Dynamical properties of solitons have been interesting subjects in transpolyacetylene. We have tried to study them with the help of soliton-phonon interactions. It has been necessary to find structure of the phonons, when there is a soliton. We have studied the continuum model by Takayama, Lin-Liu, and Maki (TLM) and the discrete model by Su, Schrieffer, and Heeger (SSH). It is found that a soliton generates a new localized phonon mode, which is infrared active, and a polaron does so as well. Using the amplitude mode formalism, the infrared activities of these modes are investigated to identify the two small peaks, observed by a recent photo-induced absorption experiment. Phase shift analyses for extended phonon modes show there are two mechanisms in the second order processes of the soliton-phonon collision. One is a shift in the soliton location and the other a momentum transfer to the soliton. The interplay of the two mechanisms is clarified by studying the dynamical diffusion coefficient of the soliton for classical phonon distribution.
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Wada, Y. (1987). Phonons and Soliton Diffusion in Polyacetylene. In: Bishop, A.R., Campbell, D.K., Kumar, P., Trullinger, S.E. (eds) Nonlinearity in Condensed Matter. Springer Series in Solid-State Sciences, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83033-4_10
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DOI: https://doi.org/10.1007/978-3-642-83033-4_10
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