• 文献标题:   Quantum Hall effects of graphene with multiorbitals: Topological numbers, Boltzmann conductance, and semiclassical quantization
  • 文献类型:   Article
  • 作  者:   ARAI M, HATSUGAI Y
  • 作者关键词:   band structure, brillouin zone, fermi surface, graphene, quantum hall effect, tightbinding calculation
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Natl Inst Mat Sci
  • 被引频次:   12
  • DOI:   10.1103/PhysRevB.79.075429
  • 出版年:   2009

▎ 摘  要

Hall conductance sigma(xy) as the Chern numbers of the Berry connection in the magnetic Brillouin zone is calculated for a realistic multiband tight-binding model of graphene with a nonorthogonal basis. It is confirmed that the envelope of sigma(xy) coincides with a semiclassical result when the magnetic field is sufficiently small. The Hall resistivity rho(xy) from the weak-field Boltzmann theory also explains the overall behavior of the sigma(xy) if the Fermi surface is composed of a single energy band. The plateaux of sigma(xy) are explained from semiclassical quantization and necessary modification is proposed for the Dirac fermion regimes.