A quantized SSH model: Equilibrium and stretching
J De Caluwe, André F. Verbeure · Journal of Physics A Mathematical and General · 1998
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.