Abstract
A set of generalized Langevin equations has been used to treat the backbone dynamics of a dimerized lattice, where the dimerization is due to a tight-binding electron–phonon coupling term. As example of application, we tune the model parameters to represent a neutral spin 1/2 soliton state in a trans-polyacetylene oligomer. By numerical integration of the equations of motion, we found a temperature-induced oscillating electric dipole across the solitonic domain wall. We characterized the dipole frequency, amplitude and radiated power as function of the heat bath temperature.
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