• 文献标题:   Analytical study of the energy levels in bilayer graphene quantum dots
  • 文献类型:   Article
  • 作  者:   DA COSTA DR, ZARENIA M, CHAVES A, FARIAS GA, PEETERS FM
  • 作者关键词:  
  • 出版物名称:   CARBON
  • ISSN:   0008-6223 EI 1873-3891
  • 通讯作者地址:   Univ Fed Ceara
  • 被引频次:   20
  • DOI:   10.1016/j.carbon.2014.06.078
  • 出版年:   2014

▎ 摘  要

Using the four-band continuum model we derive a general expression for the infinite-mass boundary condition in bilayer graphene. Applying this new boundary condition we analytically calculate the confined states and the corresponding wave functions in a bilayer graphene quantum dot in the absence and presence of a perpendicular magnetic field. Our results for the energy spectrum show an energy gap between the electron and hole states at small magnetic fields. Furthermore the electron (e) and hole (h) energy levels corresponding to the K and K' valleys exhibit the E-K(e(h)) (m) = E-K'(e(h)) (m) symmetry, where m is the angular momentum quantum number. (C) 2014 Elsevier Ltd. All rights reserved.