Density of States Analysis of Electrostatic Confinement in Gapped Graphene

• URL: http://arxiv.org/abs/2007.10655v1
• Date: Tue, 21 Jul 2020 08:23:37 GMT
• Title: Density of States Analysis of Electrostatic Confinement in Gapped Graphene
• Authors: Ahmed Bouhlal, Abdelhadi Belouad, Ahmed Jellal, Hocine Bahlouli
• Abstract summary: We investigate the electrostatic confinement of charge carriers in a gapped graphene quantum dot in the presence of a magnetic flux. It is found that the energy gap can controls the amplitude and width of these resonances and affect their location in the density of states profile.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the electrostatic confinement of charge carriers in a gapped graphene quantum dot in the presence of a magnetic flux. The circular quantum dot is defined by an electrostatic gate potential delimited in an infinite graphene sheet which is then connected to a two terminal setup. Considering different regions composing our system, we explicitly determine the solutions of the energy spectrum in terms of Hankel functions. Using the scattering matrix together with the asymptotic behavior of the Hankel functions for large arguments, we calculate the density of states and show that it has an oscillatory behavior with the appearance of resonant peaks. It is found that the energy gap can controls the amplitude and width of these resonances and affect their location in the density of states profile.

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