• 文献标题:   The Dirac particle in the graphene dot confined within the magnetic barriers
  • 文献类型:   Article
  • 作  者:   YAN WX, ZUO KL, DENG LJ
  • 作者关键词:   graphene dot, magnetic barrier, dirac particle
  • 出版物名称:   MODERN PHYSICS LETTERS B
  • ISSN:   0217-9849 EI 1793-6640
  • 通讯作者地址:   Shanxi Univ
  • 被引频次:   0
  • DOI:   10.1142/S0217984917502736
  • 出版年:   2017

▎ 摘  要

The analytical expressions for the eigenenergies and functions of the graphene quantum dot perpendicularly pierced by the different but parallel magnetic fields inside (B-1) and outside (B-2) dot have been derived with the ratio of the magnetic field strengths being irreducible rational B-2/B-1 = p/q. It is numerically found that the curves of eigenenergies consist of the clusters bounded by a series of the two sequential different Landau levels proportional to root 2nB(2) and root 2nB(1), respectively. The eigenenergies depend sensitively on the magnetic quantum numbers as well as the ratio of two different magnetic fields. The counting rules for the number of the valleys within the probability density of the wave functions have been established to interpret the interrelationship between the eigenenergies and wave functions. In addition, the crowding-in effect of the wave functions due to the increase of the eigenenergies is revealed.