Numerical study of quantum Hall effect in two-dimensional multi-band system: single- and multi-layer graphene

Details Numerical study of quantum Hall effect in two-dimensional multi-band system: single- and multi-layer graphene Numerical study of quantum Hall effect in two-dimensional multi-band system: single- and multi-layer graphene

2009-10-30

arxiv.org/abs/0910.5786v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, submitted to Physica E as EP2DS-18 proceedings

Scientific paper

The Chern numbers which correspond to quantized Hall conductance $\sigma_{xy}$ were calculated for single- and bi-layer honeycomb lattices. The quantization of $\sigma_{xy}$ occurs in entire energy range. Several large jumps of Chern numbers appear at van-Hove singularities of energy bands without magnetic fields. The plateauxof $\sigma_{xy}$ are discussed from semi-classical quantization.

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