Indirect RKKY interaction in armchair graphene nanoribbons
arXiv:1211.0615 · doi:10.1088/0953-8984/25/16/166001
Abstract
A form of an indirect Ruderman-Kittel-Kasuya-Yosida (RKKY)-like coupling between magnetic on-site impurities in armchair graphene nanoribbons is studied theoretically. The calculations are based on a tight-binding model for a finite nanoribbon system with periodic boundary conditions. A pronounced Friedel-oscillation-like dependence of the coupling magnitude on the impurity position within the nanoribbon resulting from quantum size effects is found and investigated. In particular, the distance dependence of coupling is analysed. For semiconducting nanoribbons, this dependence is exponential-like, resembling the Bloembergen-Rowland interaction. In particular, for metallic nanoribbons, interesting behaviour is found for finite length systems, in which zero-energy states make an important contribution to the interaction. In such situation, the coupling decay with the distance can be then substantially slower.
arXiv comment9 pages, 7 figures; REVTeX; submitted
References in corpus (36)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Electronic and Magnetic Properties of Nanographite Ribbons
- Emergence of magnetism in graphene materials and nanostructures
- Dynamical polarization of graphene at finite doping
- RKKY in half-filled bipartite lattices: graphene as an example
- Diluted Graphene Antiferromagnet
- RKKY Interaction in Graphene from Lattice Green's Function
- Electronic transport properties of graphene nanoribbons
- RKKY coupling in graphene
- RKKY Interaction in Graphene Calculated Following Ruderman and Kittel
- RKKY interaction in graphene
- Kondo Quantum Criticality of Magnetic Adatoms in Graphene
- Exchange interaction of magnetic impurities in graphene
- Indirect RKKY interaction in any dimensionality
- Analytical Expression for the RKKY Interaction in Doped Graphene
- Indirect Exchange and Ruderman-Kittel-Kasuya-Yosida (RKKY) Interactions in Magnetically-Doped Graphene
- Direct Imaging of Graphene Edges: Atomic Structure and Electronic Scattering
- RKKY interaction in carbon nanotubes and graphene nanoribbons
- Edge states and flat bands in graphene nanoribbons with arbitrary geometries
- The importance of electron-electron interactions in the RKKY coupling in graphene
- Ruderman-Kittel-Kasuya-Yosida interactions on a bipartite lattice
- Dynamic RKKY interaction in graphene
- The RKKY Coupling between Impurity Spins in Graphene Nanoflakes
- Electronic structure of graphene beyond the linear dispersion regime
- RKKY Interaction in Disordered Graphene
- RKKY Interactions in Graphene: Dependence on Disorder and Gate Voltage
- RKKY interaction in gapped or doped graphene
- Electron Wave Function in Armchair Graphene Nanoribbons
- Strain-induced modulation of magnetic interactions in graphene
- On the RKKY range function of a one dimensional non interacting electron gas
- Magnetization profile for impurities in graphene nanoribbons
- Size effect of Ruderman-Kittel-Kasuya-Yosida interaction mediated by electrons in nanoribbons
- Spin exchange interaction with tunable range between graphene quantum dots
- Spintronic properties of one-dimensional electron gas in graphene armchair ribbons
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- MN4 Embedded Graphene Layers: Tunable Decay Rate of RKKY Interaction
- RKKY interaction in graphene at finite temperature
- Indirect coupling between localized magnetic moments in zero-dimensional graphene nanostructures (quantum dots)
- Variable range of the RKKY interaction in edged graphene