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Abstract: An interacting pair of polyacetylene chains are initially modeled as a coupleof undimerized polymers described by a Hamiltonian based on the tight-bindingmodel representing the electronic behavior along the linear chain, plus aDirac-s potential double well representing the interaction between the chains.A theoretical field formalism is employed, and we find that the system exhibitsa gap in its energy band due to the presence of a mass-matrix term in theDirac-s Lagrangian that describes the system. The Peierls instability isintroduced in the chains by coupling a scalar field to the fermions of thetheory via spontaneous symmetry breaking, to obtain a kink-like soliton, whichseparates two vacuum regions, i.e., two spacial configurations enantiomers ofthe each molecule. Since that mass-matrix and the pseudo-spin operator do notcommute in the same quantum representation, we demonstrate that there is aparticle oscillation phenomenon with a periodicity equivalent to the Blochoscillations.



Autor: C. R. Muniz, R. N. Costa Filho

Fuente: https://arxiv.org/







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