Journal of Physics A. Mathematical and General vol:31 issue:23 pages:5219-5231
We present a one-mode quantized version of the semiclassical Su-Schrieffer-Heeger model, relevant for the study of conjugated polymers. The model is soluble. We give its equilibrium states at all temperatures and prove the existence of kink-antikink solutions. We impose stretching constraints in order to make the model boundary condition invariant. A uniform stretching of the lattice is considered. A formula for a temperature-dependent sound velocity is derived. The influence on the critical temperature and on the dimerization is rigorously derived.