We investigate the possibility of realizing quantum anomalous Hall effect in graphene. We show that a bulk energy gap can be opened in the presence of both Rashba spin-orbit coupling and an exchange field. We calculate the Berry curvature distribution and find a non-zero Chern number for the valence bands and demonstrate the existence of gapless edge states. Inspired by this finding, we also study, by first principles method, a concrete example of graphene with Fe atoms adsorbed on top, obtaining the same result.
@article{arxiv.1005.1672,
title = {Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects},
author = {Zhenhua Qiao and Shengyuan A. Yang and Wanxiang Feng and Wang-Kong Tse and Jun Ding and Yugui Yao and Jian Wang and Qian Niu},
journal= {arXiv preprint arXiv:1005.1672},
year = {2010}
}