Two-Dimensional Topological Insulator State and Topological Phase Transition in Bilayer Graphene

Abstract

We show that gated bilayer graphene hosts a strong topological insulator (TI) phase in the presence of Rashba spin-orbit (SO) coupling. We find that gated bilayer graphene under preserved time-reversal symmetry is a quantum valley Hall insulator for small Rashba SO coupling ${\lambda }_{\mathrm{R}}$, and transitions to a strong TI when ${\lambda }_{\mathrm{R}}>\sqrt{U^2+t_{\perp }^2}$, where $U$ and $t_{\perp }$ are respectively the interlayer potential and tunneling energy. Different from a conventional quantum spin Hall state, the edge modes of our strong TI phase exhibit both spin and valley filtering, and thus share the properties of both quantum spin Hall and quantum valley Hall insulators. The strong TI phase remains robust in the presence of weak graphene intrinsic SO coupling.

5 pages and 4 figures

References in corpus (13)

• The electronic properties of graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit gap of graphene: First-principles calculations
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Edge states in Graphene: from gapped flat band to gapless chiral modes
• Half-Heusler Compounds as a New Class of Three-Dimensional Topological Insulators
• Electronic properties of bilayer and multilayer graphene
• Magnetic and Electronic Properties of Metal-Atom Adsorbed Graphene
• Band topology and quantum spin Hall effect in bilayer graphene

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