Electron self-trapping on a nanocircle

We study the self-trapping of quasiparticles (electrons, holes or excitons) in a molecular chain with the structure of a ring, taking into account the electron–phonon interaction and the radial and tangential deformations of the chain. A discrete system of equations is obtained and solved numericall...

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Bibliographic Details
Published inPhysica. D Vol. 218; no. 1; pp. 36 - 55
Main Authors Brizhik, L.S., Eremko, A.A., Piette, B., Zakrzewski, W.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.06.2006
Elsevier
Subjects
Electron–phonon
Exact sciences and technology
Nanocircle
Physics
Polaron
Self-trapping
Electron–phonon
Polaron
Self-trapping
Nanocircle
Electron-phonon
Discrete systems
Deformation
Phonons
Solitons
Strong coupling
Electron-phonon interactions
Non linear phenomenon
Molecular chain
Ring structure
Quasiparticles
Excitons
Numerical solution
Wave functions
Analytical solution
Nonlinear systems
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Summary:We study the self-trapping of quasiparticles (electrons, holes or excitons) in a molecular chain with the structure of a ring, taking into account the electron–phonon interaction and the radial and tangential deformations of the chain. A discrete system of equations is obtained and solved numerically. The analytical solutions for the wavefunction of a quasiparticle and for the molecule displacements that determine the distortion of the ring are also investigated. The numerical solutions of the system of discrete nonlinear equations, as well as analytical solutions, reveal several regimes of quasiparticle localisation in the chain. These regimes depend on the values of the parameters of the system. It is shown that for strong enough coupling between a quasiparticle and phonons, the transverse deformation of the nanocircle favours the formation of a soliton.
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2006.04.010