• 文献标题:   Coulomb impurity under magnetic field in graphene: A semiclassical approach
  • 文献类型:   Article
  • 作  者:   ZHANG YH, BARLAS Y, YANG K
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121 EI 1550-235X
  • 通讯作者地址:   Florida State Univ
  • 被引频次:   17
  • DOI:   10.1103/PhysRevB.85.165423
  • 出版年:   2012

▎ 摘  要

We address the problem of a Coulomb impurity in graphene in the presence of a perpendicular uniform magnetic field. We show that the problem can be solved below the supercritical impurity magnitude within the WKB approximation. Without impurity the semiclassical energies correctly reproduce the Landau level spectrum. For a given Landau level, the WKB energy depends on the absolute value of angular momentum in a way which is consistent with the exact diagonalization result. Below the supercritical impurity magnitude, the WKB solution can be expanded as a convergent series in powers of the effective fine structure constant. Relevance of our results to the validity of the widely used Landau level projection approximation is discussed.