Graphene with Structure-Induced Spin-Orbit Coupling: Spin-Polarized States, Spin Zero Modes, and Quantum Hall Effect

Abstract

Spin splitting of the energy spectrum of single-layer graphene on Au/Ni(111) substrate has been recently reported. I show that eigenstates of spin-orbit coupled graphene are polarized in-plane and perpendicular to electron momentum $\mathbf{k}$; the magnitude of spin polarization $\mathbf{S}$ vanishes when $k\to 0$. In a perpendicular magnetic field $\mathbf{B}$, $\mathbf{S}$ is parallel to $\mathbf{B}$, and two zero modes emerge in the Landau level spectrum. Singular $\mathbf{B}$-dependence of their magnetization suggests existence of a novel magnetic instability. They also manifest themselves in a new unconventional quantum Hall effect.

4 pages, 1 figure

References in corpus (14)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Unconventional Integer Quantum Hall effect in graphene
• Andreev reflection and Klein tunneling in graphene
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Spin-orbit gap of graphene: First-principles calculations
• Quantum Hall Ferromagnetism in Graphene
• Landau Level Splitting in Graphene in High Magnetic Fields
• Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Cyclotron resonance in bilayer graphene
• Quantum Hall effect in bilayer and multilayer graphenes with finite gate voltage

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