Evidence for a Spin Phase Transition at ν=0 in Bilayer Graphene

Abstract

The most celebrated property of the quantum spin Hall effect is the presence of spin-polarized counter-propagating edge states. This novel edge state configuration has also been predicted to occur in graphene when spin-split electron- and hole-like Landau levels are forced to cross at the edge of the sample. In particular, a quantum spin Hall analogue has been predicted at ν=0 in bilayer graphene if the ground state is a spin ferromagnet. Previous studies have demonstrated that the bilayer ν=0 state is an insulator in a perpendicular magnetic field, though the exact nature of this state has not been identified. Here we present measurements of the ν=0 state in a dual-gated bilayer graphene device in tilted magnetic field. The application of an in-plane magnetic field and perpendicular electric field allows us to map out a full phase diagram of the ν=0 state as a function of experimentally tunable parameters. At large in-plane magnetic field we observe a quantum phase transition to a metallic state with conductance of order 4e^2/h, consistent with predictions for the ferromagnet.

5 pages, 4 figures

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• SO(5) symmetry in the quantum Hall effect in graphene
• Spatially-indirect Exciton Condensate Phases in Double Bilayer Graphene
• Effective Mass in Bilayer Graphene at Low Carrier Densities: the Role of Potential Disorder and Electron-Electron Interaction
• Distinct Competing Ordered ν=2 States in Bilayer Graphene
• Interacting multi-channel topological boundary modes in a quantum Hall valley system
• Metallic Phase and Temperature Dependence of the $\nu =0$ Quantum Hall State in Bilayer Graphene
• Robust helical edge transport at $\nu =0$ quantum Hall state
• Spin-Valley Coherent Phases of the $\nu =0$ Quantum Hall State in Bilayer Graphene
• Phase diagram of a graphene bilayer in the zero-energy Landau level
• Spontaneous Layer Polarization and Conducting Domain Walls in the Quantum Hall Regime of Bilayer Graphene
• Critical point for the CAF-F phase transition at charge neutrality in bilayer graphene
• Broken-Symmetry Quantum Hall States in Twisted Bilayer Graphene
• Interacting topological phases in thin films of topological mirror Kondo insulators
• Ising quantum Hall ferromagnetism in Landau levels $\left|N\right|\ge 1$ of bilayer graphene
• Broken symmetry states in bilayer graphene in electric and in-plane magnetic fields
• Field-induced insulating states in a graphene superlattice
• Quantum Parity Hall effect in ABA Graphene