Spin orbit in curved graphene ribbons
arXiv:1012.0228 · doi:10.1103/PhysRevB.83.115436
Abstract
We study the electronic properties of electrons in flat and curved zigzag graphene ribbons using a tight-binding model within the Slater Koster approximation. We find that curvature dramatically enhances the action of spin orbit effects in graphene ribbons and has a strong effect on the spin orientation of the edge states: whereas spins are normal to the surface in the case of flat ribbons, this is no longer the case in the case of curved ribbons. We find that for the edge states, the spin density lies always in the plane perpendicular to the ribbon axis, and deviate strongly from the normal to the ribbon, even for very small curvature and the small spin orbit coupling of carbon. We find that curvature results also in an effective second neighbor hopping that modifies the electronic properties of zigzag graphene ribbons. We discuss the implications of our finding in the spin Hall phase of curved graphene Ribbons.
9 pages, 9 figures
References in corpus (17)
- Energy Gaps in Graphene Nanoribbons
- The structure of suspended graphene sheets
- Half-Metallic Graphene Nanoribbons
- Control of graphene's properties by reversible hydrogenation
- 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
- Strong suppression of weak (anti)localization in graphene
- Induced Magnetic Ordering by Proton Irradiation in Graphite
- Magnetic Correlations at Graphene Edges
- Room-temperature ferromagnetism in graphite driven by 2D networks of point defects
- Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
- Vacancy induced magnetism in graphene and graphene ribbons
- Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
- Hidden multiferroic order in graphene zigzag ribbons
- Hyperfine Interactions in Graphene and Related Carbon Nanostructures
- Exchange induced charge inhomogeneities in rippled neutral graphene
Cited by in corpus (15)
- Large spin splitting in the conduction band of transition metal dichalcogenide monolayers
- Topologically protected quantum transport in locally exfoliated bismuth at room temperature
- Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
- Spin Orbit Coupling in Graphene Induced by Heavy Adatoms with Electrons in the Outer-Shell Orbitals
- Edge states in graphene-like systems
- Anisotropic intrinsic spin relaxation in graphene due to flexural distortions
- Rashba spin-orbit interaction in graphene armchair nanoribbons
- Quantum Size Effects in the Atomistic Structure of Armchair-Nanoribbons
- Quantum Spin Hall Effect in Graphene Nanoribbons: Effect of Edge Geometry
- Spin-filtered edge states in graphene
- Interplay between symmetry and spin-orbit coupling in graphene nanoribbons
- Spin Relaxation at Graphene Nanoribbons in the presence of Substrate Surface Roughness
- Quantum spin Hall phase in multilayer graphene
- Electrically-detected single-spin resonance with Quantum Spin Hall edge states
- Particle-hole symmetry broken solutions in graphene nanoribbons: a multi-orbital, mean-field perspective