▎ 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.