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Solitons in a nonlinear model of spin transport in helical molecules

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Albares Vicente, Paz and Díaz García, Elena and Cerveró Santiago, José María and Domínguez-Adame Acosta, Francisco and Díez Fernández, Enrique and García Estévez, Pilar (2018) Solitons in a nonlinear model of spin transport in helical molecules. Physical review E, 97 (2). ISSN 2470-0045

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Official URL: http://dx.doi.org/10.1103/PhysRevE.97.022210


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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.


Item Type:Article
Additional Information:

©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).

Uncontrolled Keywords:Electron transmission; Dna; Equation; Bacteriorhodopsin; Dynamics; Charge; Physics; Fluids & plasmas; Physics; Mathematical
Subjects:Sciences > Physics > Materials
Sciences > Physics > Solid state physics
ID Code:46752
Deposited On:07 Mar 2018 19:48
Last Modified:09 Mar 2018 08:48

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