Energy levels of graphene magnetic circular quantum dot

Abdelhadi Belouad, Bouchaib Lemaalem, Ahmed Jellal, Hocine Bahlouli

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We study the energy levels of graphene magnetic circular quantum dot surrounded by an infinite graphene sheet in the presence of an electrostatic potential. We solve Dirac equation to derive the solutions of energy spectrum associated with different regions composing our system. Using the continuum model and applying boundary conditions at the interface, we obtain analytical results for the energy levels. The dependence of the energy levels on the quantum dot radius, magnetic field and electrostatic potential is analyzed for the two valleys K and K′. We show that the energy levels exhibit characteristics of interface states and have an energy gap.

Original languageEnglish
Article number015090
JournalMaterials Research Express
Volume7
Issue number1
DOIs
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© 2020 The Author(s). Published by IOP Publishing Ltd.

Keywords

  • electron density
  • energy levels
  • grapheme
  • magnetic field
  • potential
  • quantum dot

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Biomaterials
  • Surfaces, Coatings and Films
  • Polymers and Plastics
  • Metals and Alloys

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