Numerical study of quantum Hall effect in two-dimensional multi-band system: single- and multi-layer graphene
arXiv:0910.5786 · doi:10.1016/j.physe.2009.11.005
Abstract
The Chern numbers which correspond to quantized Hall conductance $Ï_{xy}$ were calculated for single- and bi-layer honeycomb lattices. The quantization of $Ï_{xy}$ occurs in entire energy range. Several large jumps of Chern numbers appear at van-Hove singularities of energy bands without magnetic fields. The plateauxof $Ï_{xy}$ are discussed from semi-classical quantization.
4 pages, submitted to Physica E as EP2DS-18 proceedings