https://doi.org/10.1140/epjb/s10051-020-00026-2
Regular Article - Mesoscopic and Nanoscale Systems
Energy levels of magnetic quantum dots in gapped graphene
1
Laboratory of Theoretical Physics, Faculty of Sciences, Chouaïb Doukkali University, PO Box 20, 24000, El Jadida, Morocco
2
Canadian Quantum Research Center, 204-3002 32 Ave Vernon, V1T 2L7, Vernon, BC, Canada
Received:
10
August
2020
Accepted:
18
November
2020
Published online:
11
January
2021
We study the energy levels of charge carriers confined in a magnetic quantum dot in graphene surrounded by a infinite graphene sheet in the presence of energy gap. We explicitly determine the eigenspinors for both valleys K and 
, whereas we use the boundary condition at interface of the quantum dot to obtain the energy levels. We numerically investigate our results and show that the energy levels exhibit the symmetric and antisymmetric behaviors under suitable conditions of the physical parameters. We find that the radial probability can be symmetric or antisymmeric according to the angular momentum is null or no-null. Finally, we show that the application of an energy gap decreases the electron density in the quantum dot, which indicates a temporary trapping of electrons.
© EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021
