Quantum Anomalous Hall Effect in Single-layer and Bilayer Graphene

Abstract

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.

9 pages, final published version

References in corpus (10)

• The electronic properties of graphene
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit gap of graphene: First-principles calculations
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Pseudospin Magnetism in Graphene
• Quantum Anomalous Hall State in Bilayer Graphene
• Orbital analogue of quantum anomalous Hall effect in $p$-band systems
• Quantum anomalous Hall states in the $p$-orbital honeycomb optical lattices

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