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Electron–lattice pair properties in chains with cubic interaction

M. S. S. Junior

Instituto de Física, Universidade Federal de Alagoas, Maceió, Alagoas 57072-970, Brazil

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M. O. Sales

IFMA Campus São João dos Patos, Rua Padre Santiago, s/n, Centro, São João dos Patos, Maranhão 65665-000, Brazil

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, and

F. A. B. F. de Moura

Instituto de Física, Universidade Federal de Alagoas, Maceió, Alagoas 57072-970, Brazil

E-mail Address: fidelis@fis.ufal.br

Corresponding author.

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https://doi.org/10.1142/S012918312350153XCited by:0 (Source: Crossref)

Abstract

In this paper, we investigate the one-electron propagation in a nonlinear chain with electron–lattice interaction. The model contains standard cubic nonlinear terms, and we introduce the coupling between the electron and the lattice through the hopping distribution. We solve the coupled equation set to electron and lattice and calculate the electronic position as a function of time. We provide a detailed investigation of the electron and lattice dynamics for a wide range of electron–lattice coupling intensities. Our results demonstrate that depending on the initial condition we consider and the intensity of the electron–lattice interaction, we can obtain (or not) an electron–phonon pair formation. Our results reveal that, depending on the initial velocity of the lattice and the degree of electron–lattice term, we can observe a repulsion between electron and lattice deformations.

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