Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-01-11
Phys. Rev. B 83, 155447 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
9 pages, final published version
Scientific paper
The quantum anomalous Hall effect can occur in single and few layer graphene systems that have both exchange fields and spin-orbit coupling. In this paper, we present a study of the quantum anomalous Hall effect in single-layer and gated bilayer graphene systems with Rashba spin-orbit coupling. We compute Berry curvatures at each valley point and find that for single-layer graphene the Hall conductivity is quantized at $\sigma_{xy} = 2e^2/h$, with each valley contributing a unit conductance and a corresponding chiral edge state. In bilayer graphene, we find that the quantized anomalous Hall conductivity is twice that of the single-layer case when the gate voltage $U$ is smaller than the exchange field $M$, and zero otherwise. Although the Chern number vanishes when $U > M$, the system still exhibits a quantized valley Hall effect, with the edge states in opposite valleys propagating in opposite directions. The possibility of tuning between different topological states with an external gate voltage suggests possible graphene-based spintronics applications.
MacDonald Allan. H.
Niu Qian
Qiao Zhenhua
Tse Wang-Kong
Yao Yugui
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