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Energy levels of magnetic quantum dots in gapped graphene

  • Regular Article - Mesoscopic and Nanoscale Systems
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Abstract

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 \(K'\), 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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Derived data supporting the findings of this study are available from the corresponding author [Ahmed Jellal] on request.]

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Acknowledgements

The generous support provided by the Saudi Center for Theoretical Physics (SCTP) is highly appreciated by all authors.

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Authors and Affiliations

  1. Laboratory of Theoretical Physics, Faculty of Sciences, Chouaïb Doukkali University, PO Box 20, 24000, El Jadida, Morocco

    Abderrahim Farsi, Abdelhadi Belouad & Ahmed Jellal

  2. Canadian Quantum Research Center, 204-3002 32 Ave Vernon, Vernon, BC, V1T 2L7, Canada

    Ahmed Jellal

Authors
  1. Abderrahim Farsi
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  2. Abdelhadi Belouad
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  3. Ahmed Jellal
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Corresponding author

Correspondence to Ahmed Jellal.

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Farsi, A., Belouad, A. & Jellal, A. Energy levels of magnetic quantum dots in gapped graphene. Eur. Phys. J. B 94, 9 (2021). https://doi.org/10.1140/epjb/s10051-020-00026-2

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  • DOI: https://doi.org/10.1140/epjb/s10051-020-00026-2

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