Person:
Domínguez-Adame Acosta, Francisco

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First Name
Francisco
Last Name
Domínguez-Adame Acosta
URI
https://hdl.handle.net/20.500.14352/74978
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Físicas
Department
Física de Materiales
Area
Física de la Materia Condensada
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1994 - 199912010 - 20181
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    Effective nonlinear model for electron transport in deformable helical molecules
    (Physical review E, 2018) Díaz García, Elena; Contreras, A.; Hernández, J.; Domínguez-Adame Acosta, Francisco
    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.
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    A Relativistic equation for a slowly varying potential
    (Journal of Physics A-Mathematical and General, 1994) Roy, C.L.; Méndez Martín, Bianchi; Domínguez-Adame Acosta, Francisco
    A relativistic equation is derived for a slowly varying potential by suitably approximating the one-dimensional Dirac equation. This equation is shown to be akin to the Schrodinger equation with an effective potential and effective eigenvalues. An iterative procedure for solving this equation is indicated. As an application, the relativistic treatment of the Mathieu potential on the basis of this equation is considered and results are compared with those obtained by solving the exact one-dimensional Dirac equation. These results are likely to take adequate account of the relativistic impacts on electrons near Fermi levels in metals.