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Soliton diffusion in polyacetylene: Memory-function formalism

1986; American Physical Society; Volume: 34; Issue: 5 Linguagem: Inglês

10.1103/physrevb.34.3288

1095-3795

Christian Kunz,

Electrochemical Analysis and Applications

Soliton diffusion in trans-polyacetylene is studied at low temperatures T using the memory-function approach within the Takayama--Lin-Liu--Maki model (TLM). It is shown that perturbation theory predicts a diffusion constant D which diverges as an inverse power of T, due to the coupling of the soliton to the acoustical phonons. Therefore, without introducing modifications into the TLM model which break the translational invariance and trap the soliton at low T, this model cannot account for a vanishing D at low T.