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- W2076680286 abstract "Hall conductance ${ensuremath{sigma}}_{xy}$ 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 ${ensuremath{sigma}}_{xy}$ coincides with a semiclassical result when the magnetic field is sufficiently small. The Hall resistivity ${ensuremath{rho}}_{xy}$ from the weak-field Boltzmann theory also explains the overall behavior of the ${ensuremath{sigma}}_{xy}$ if the Fermi surface is composed of a single energy band. The plateaux of ${ensuremath{sigma}}_{xy}$ are explained from semiclassical quantization and necessary modification is proposed for the Dirac fermion regimes." @default.
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- W2076680286 date "2009-02-18" @default.
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- W2076680286 title "Quantum Hall effects of graphene with multiorbitals: Topological numbers, Boltzmann conductance, and semiclassical quantization" @default.
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- W2076680286 doi "https://doi.org/10.1103/physrevb.79.075429" @default.
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