Dynamical conductivity of soliton lattice and polaron lattice in the continuum model of polyacetylene

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Abstract
The dynamical conductivity due to phonons around the soliton lattice and around a polaron lattice, and the creation energy of these two structural configurations were calculated in a continuum model of polyacetylene. The crossover from the soliton lattice to the polaronlike distortion proposed by Kivelson and Heeger to explain the abrupt onset of the magnetic susceptibility around 5% doping is not found in a strictly one-dimensional calculation. The harmonic lattice fluctuations around the static equilibrium configurations were obtained and used to calculate and compare the absorption spectra for the various defect configurations.