Quantization of the anomalous Hall conductance in a disordered magnetic Chern insulator

Abstract

The intrinsic anomalous Hall conductance σxyint of a minimal model of the twodimensional disordered Chern insulator is investigated in the framework of Kubo quantum theory of linear response. The electron momentum relaxation is assumed to be due to electron scattering by Gaussian white-noise potential. The explicit expressions for the density of states and σxyint are obtained in the self-consistent Born approximation. The numerical analysis of these expressions at the different values of parameters of the considered model shows that calculated σxyint takes a quantized value e 2/4π when the Fermi level lies within the energy gap. This gap is narrowed as disorder increases that leads to decreasing of the Hall plateau width. © Published under licence by IOP Publishing Ltd.