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Autores principales: Azar, Mohamed El, Feddi, Elmustapha, Díaz, Pablo, Laroze, David, Jellal, Ahmed
Formato: Preprint
Publicado: 2026
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Acceso en línea:https://arxiv.org/abs/2606.01938
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author Azar, Mohamed El
Feddi, Elmustapha
Díaz, Pablo
Laroze, David
Jellal, Ahmed
author_facet Azar, Mohamed El
Feddi, Elmustapha
Díaz, Pablo
Laroze, David
Jellal, Ahmed
contents The Klein tunnel effect phenomenon makes it impossible to permanently confine charge carriers in massless nanostructures. However, applying a constant magnetic field allows these electrons to be temporarily localized, thus forming quasi-bound states. In this study, we analyze the mechanism of electron diffusion through a silicene quantum dot (SQD) subjected to a perpendicular magnetic field. To enhance spatial localization, we exploit the spin-orbit coupling (SOC) specific to silicene, which generates a natural energy gap by acting as an effective mass. We first derive the solutions to the Dirac equation at low energy. Subsequently, by imposing the continuity conditions at the SQD interfaces, we obtain exact expressions for the diffusion coefficients. These results are then used to map the scattering efficiency together with the spatial distributions of probability and current densities. Our simulations demonstrate that the presence of this intrinsic gap significantly enhances electron trapping at the center of the SQD. Finally, we prove that the interplay between the external field and SOC breaks spin symmetry, thereby enabling robust and spin-selective confinement.
format Preprint
id arxiv_https___arxiv_org_abs_2606_01938
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Magnetic control of electron scattering in silicene quantum dots
Azar, Mohamed El
Feddi, Elmustapha
Díaz, Pablo
Laroze, David
Jellal, Ahmed
Mesoscale and Nanoscale Physics
Quantum Physics
The Klein tunnel effect phenomenon makes it impossible to permanently confine charge carriers in massless nanostructures. However, applying a constant magnetic field allows these electrons to be temporarily localized, thus forming quasi-bound states. In this study, we analyze the mechanism of electron diffusion through a silicene quantum dot (SQD) subjected to a perpendicular magnetic field. To enhance spatial localization, we exploit the spin-orbit coupling (SOC) specific to silicene, which generates a natural energy gap by acting as an effective mass. We first derive the solutions to the Dirac equation at low energy. Subsequently, by imposing the continuity conditions at the SQD interfaces, we obtain exact expressions for the diffusion coefficients. These results are then used to map the scattering efficiency together with the spatial distributions of probability and current densities. Our simulations demonstrate that the presence of this intrinsic gap significantly enhances electron trapping at the center of the SQD. Finally, we prove that the interplay between the external field and SOC breaks spin symmetry, thereby enabling robust and spin-selective confinement.
title Magnetic control of electron scattering in silicene quantum dots
topic Mesoscale and Nanoscale Physics
Quantum Physics
url https://arxiv.org/abs/2606.01938