RT Journal Article T1 Solitons in a nonlinear model of spin transport in helical molecules A1 Albares Vicente, Paz A1 Díaz García, Elena A1 Cerveró Santiago, José María A1 Domínguez-Adame Acosta, Francisco A1 Díez Fernández, Enrique A1 García Estévez, Pilar AB 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. PB American Physical Society SN 2470-0045 YR 2018 FD 2018-02-08 LK https://hdl.handle.net/20.500.14352/11984 UL https://hdl.handle.net/20.500.14352/11984 LA eng NO ©2018 American Physical SocietyThe 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). NO Ministerio de Economía y Competitividad (MINECO) NO Junta de Castilla y León DS Docta Complutense RD 27 abr 2025