• 文献标题:   Landau level spectrum for bilayer graphene in a tilted magnetic field
  • 文献类型:   Article
  • 作  者:   HYUN YH, KIM Y, SOCHICHIU C, CHOI MY
  • 作者关键词:  
  • 出版物名称:   JOURNAL OF PHYSICSCONDENSED MATTER
  • ISSN:   0953-8984 EI 1361-648X
  • 通讯作者地址:   Sungkyunkwan Univ
  • 被引频次:   7
  • DOI:   10.1088/0953-8984/24/4/045501
  • 出版年:   2012

▎ 摘  要

We consider a graphene bilayer in a constant magnetic field of arbitrary orientation, i.e., tilted with respect to the graphene plane. In the low energy approximation to the tight-binding model with Peierls substitution, we find the Landau level spectrum analytically in terms of spheroidal functions and the respective eigenvalues. We compare our result to the perpendicular and purely in-plane field cases. In the limit of perpendicular field we reproduce the known equidistant spectrum for Landau levels. In the opposite limit of large in-plane field this spectrum becomes two-fold degenerate, which is a consequence of Dirac point splitting induced by the in-plane field.