Abstract
Linear modes around the polaron solution are analyzed numerically in the model of Takayama, Lin-Liu, and Maki, which is a continuum model of trans -polyacetylene (CH) x . The polaron generates five localized phonon modes, one of which with \(\omega{\cong}0\) corresponds to the Goldstone mode. The phase shifts of extended phonon modes are obtained, which show that effective potential for them is reflectionless. The creation energy of a single polaron is found to be \(\sqrt{2}\varDelta_{0}/\pi-0.80\omega_{0}\), the second term being the quantum correction and Δ 0 and ω 0 denoting the half of the gap in the electronic energy spectrum and the frequency of the optical phonon with vanishing wave number, respectively, in the uniformly dimerized state.
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