Abstract
The ground state of a quasi-particle (exciton, electron or hole) interacting with optical and acoustic phonons in a one-dimensional chain, is investigated using a variational method. The phase diagrams are obtained which show the regions of the electron-phonon coupling constant and nonadiabaticity parameter where the ground state of a quasiparticle is described as almost free electron state, small polaron, or spontaneously localized state. It is shown that the formation of a soliton-like state has a threshold with respect to the value of electron-phonon interaction. The corresponding critical value of the coupling constant increases with the nonadiabaticity parameter increasing.
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Brizhik, L., Eremko, A. One-dimensional electron-phonon system at arbitrary coupling constant. Zeitschrift für Physik B Condensed Matter 104, 771–775 (1997). https://doi.org/10.1007/s002570050525
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DOI: https://doi.org/10.1007/s002570050525