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

Abstract

We show how the Aharonov-Bohm flux (AB) φ_i 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 J_r^r, the square modulus of the scattering coefficients |c_m|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 φ_i. 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 φ_i, we show that the oscillations in |c_m|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 J_r^r displays periodic oscillations of constant amplitude, which are affected by the AB flux.

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