• 文献标题:   Energy levels of an ideal quantum ring in AA-stacked bilayer graphene
  • 文献类型:   Article
  • 作  者:   ZAHIDI Y, BELOUAD A, JELLAL A
  • 作者关键词:   ideal quantum ring, aabilayer graphene, magnetic field, energy spectrum
  • 出版物名称:   MATERIALS RESEARCH EXPRESS
  • ISSN:   2053-1591
  • 通讯作者地址:   Chouaib Doukkali Univ
  • 被引频次:   2
  • DOI:   10.1088/2053-1591/aa69b8
  • 出版年:   2017

▎ 摘  要

We theoretically analyze the energy spectrum of a quantum ring in AA-stacked bilayer graphene with radius R for a zero width subjected to a perpendicular magnetic field B. An analytical approach, using the Dirac equation, is implemented to obtain the energy spectrum by freezing out the carrier radial motion. The obtained spectrum exhibits different symmetries and for a fixed total angular momentum m, it has a hyperbolic dependence of the magnetic field. In particular, the energy spectra are not invariant under the transformation B -> -B. The application of a potential, on the upper and lower layer, allows us to open a gap in the energy spectrum and the application of a non zero magnetic field breaks all symmetries. We also analyze the basic features of the energy spectrum to show the main similarities and differences with respect to an ideal quantum ring in monolayer, AB-stacked bilayer graphene and a quantum ring with finite width in AB-stacked bilayer graphene.