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Anharmonicity and Soliton-Mediated Transport: Thermal Solitons, Solectrons and Electric Transport in Nonlinear Conducting Lattices

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SelfOrganization of Molecular Systems

We report here results about the excitation and survival of solitons in one-dimensional (1d) lattices with Morse interactions in a temperature range from low to physiological or room temperature (ca. 300 K). We also study their influence on added free electrons moving in the lattice. The lattice units (considered as “atoms” or “screened ion cores”) are treated by classical (Newton—)Langevin equations. Then representing the densities of the core (valence) electrons of lattice units by Gaussian distributions we visualize lattice compressions as enhanced density regions. The local potentials created by the solitonic excitations are estimated as well as the classical and quantum—mechanical occupations. Further we consider the formation of solectrons, i.e. dynamic electron—soliton bound states. Finally, we add Coulomb repulsion and study its influence on solectrons. A discussion is also given about soliton-mediated electron pairing.

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Ebeling, W., Velarde, M.G., Chetverikov, A.P., Hennig, D. (2009). Anharmonicity and Soliton-Mediated Transport: Thermal Solitons, Solectrons and Electric Transport in Nonlinear Conducting Lattices. In: Russo, N., Antonchenko, V.Y., Kryachko, E.S. (eds) SelfOrganization of Molecular Systems. NATO Science for Peace and Security Series A: Chemistry and Biology. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2590-6_9

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