Effective nonlinear model for electron transport in deformable helical molecules



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Díaz García, Elena and Contreras, A. and Hernández, J. and Domínguez-Adame Acosta, Francisco (2018) Effective nonlinear model for electron transport in deformable helical molecules. Physical review E, 98 (5). ISSN 2470-0045

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Official URL: http://dx.doi.org/10.1103/PhysRevE.98.052221


The helical conformation of electric dipoles in some chiral molecules, such as DNA and bacteriorhodopsin, induces a spin-orbit coupling that results in a sizable spin selectivity of electrons. The local deformation of the molecule about the moving electron may affect the spin dynamics due to the appearance of bright solitons with well-defined spin projection onto the molecule axis. In this work, we introduce an effective model for electron transport in a deformable helical molecular lattice that resembles the nonlinear Kronig-Penney model in the adiabatic approximation. In addition, the continuum limit of our model is achieved when the dipole-dipole distance is smaller than the spatial extent of the bright soliton, as discussed by E. Diaz et al. [N. J. Phys. 20, 043055 (2018)]. In this limit, our model reduces to an extended Davydov model. Finally, we also focus on perturbations to the bright soliton that arise naturally in the context of real helical molecules. We conclude that the continuum approximation provides excellent results in more complex scenarios.

Item Type:Article
Additional Information:

©2018 American Physical Society.
This work was supported by the Spanish MINECO under Grant No. MAT2016-75955. The authors are indebted to R. Gutierrez, P. G. Estévez, and P. Albares for enlightening discussions.

Uncontrolled Keywords:Spin selectivity; Transmission; Dynamics; Currents
Subjects:Sciences > Physics > Materials
ID Code:50578
Deposited On:21 Dec 2018 17:51
Last Modified:08 Jan 2019 09:31

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