• 文献标题:   Magnetisation oscillations, boundary conditions and the Hofstadter butterfly in graphene flakes
  • 文献类型:   Article
  • 作  者:   LIU Y, BRADA M, MELE EJ, KUSMARTSEV FV
  • 作者关键词:   graphene flake, magnetization, hofstadter energy spectrum, topological insulator, dirac equation, aharonov bohm effect, boundary condition, edge state
  • 出版物名称:   ANNALEN DER PHYSIK
  • ISSN:   0003-3804 EI 1521-3889
  • 通讯作者地址:   Univ Loughborough
  • 被引频次:   2
  • DOI:   10.1002/andp.201400143
  • 出版年:   2014

▎ 摘  要

New quantum oscillations in the magnetization of graphene flakes induced by magnetic fields, which depend on the shape of the flake, are described. At small values of the field they are due to the Aharonov-Bohm effect and with increasing field they are transformed into dHvA oscillations. The specific form of the dHvA oscillations is analyzed in terms of their energy spectrum, which has a form of Hofstadter's butterfly. Numerical results using a lattice tight-binding model and a continuum Dirac equation are presented and compared. Possible experiments to investigate the quantum oscillations in Moire and graphene anti-dot superlattices are discussed.