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Influence of Aharonov-Bohm flux and dual gaps on electron scattering in graphene quantum dots

2024/09/20 by Fatima Belokda, Belokda, Fatima, Ahmed Bouhlal +3
Engineering · Materials Science · #Carbon Nanotubes in Composites #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Molecular Junctions and Nanostructures

paper · pdf · doi:10.48550/arxiv.2409.13659

openalex publication_date 2024/09/20 · openalex created_date 2024/10/26 · openalex updated_date 2026/07/28

Abstract

We show how the Aharonov-Bohm flux (AB) ϕi and the dual gaps (Δ1, Δ2) can affect the electron scattering in graphene quantum dots (GQDs) of radius r0 in the presence of an electrostatic potential V. After obtaining the solutions of the energy spectrum, we explicitly determine the radial component of the reflected current Jrr, the square modulus of the scattering coefficients |cm|2, and the scattering efficiency Q. Different scattering regimes are identified based on physical parameters such as incident energy E, V, r0, dual gaps, and ϕi. In particular, we show that lower values of E are associated with larger amplitudes of Q. Furthermore, it is found that Q exhibits a damped oscillatory behavior with increasing the AB flux. In addition, increasing the external gap Δ1 resulted in higher values of Q. By increasing ϕi, we show that the oscillations in |cm|2 disappear for larger values of r0 and are replaced by prominent peaks at certain values of E and angular momentum m. Finally, we show that Jrr displays periodic oscillations of constant amplitude, which are affected by the AB flux.

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