Abstract
Hall conductance 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 coincides with a semiclassical result when the magnetic field is sufficiently small. The Hall resistivity from the weak-field Boltzmann theory also explains the overall behavior of the if the Fermi surface is composed of a single energy band. The plateaux of are explained from semiclassical quantization and necessary modification is proposed for the Dirac fermion regimes.
- Received 5 December 2008
DOI:https://doi.org/10.1103/PhysRevB.79.075429
©2009 American Physical Society