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Solitons in a nonlinear model of spin transport in helical molecules

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Publication Date
2018-02-08
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Albares Vicente, Paz
Cerveró Santiago, José María
Díez Fernández, Enrique
García Estévez, Pilar
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American Physical Society
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Abstract
We study an effective integrable nonlinear model describing an electron moving along the axis of a deformable helical molecule. The helical conformation of dipoles in the molecular backbone induces an unconventional Rashba-like interaction that couples the electron spin with its linear momentum. In addition, a focusing nonlinearity arises from the electron-lattice interaction, enabling the formation of a variety of stable solitons such as bright solitons, breathers, and rogue waves. A thorough study of the soliton solutions for both focusing and defocusing nonlinear interaction is presented and discussed.
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©2018 American Physical Society The authors thank R. Gutierrez for helpful discussions. This research has been supported by MINECO (Grants No. MAT2013-46308 and No. MAT2016-75955) and Junta de Castilla y Leon (Grant No. SA045U16 and P. Albares' Ph.D. Fellowship).
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