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.
9 pages, 7 figures; REVTeX; submitted
References in corpus (15)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- 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
- Kondo Quantum Criticality of Magnetic Adatoms in Graphene
- Indirect Exchange and Ruderman-Kittel-Kasuya-Yosida (RKKY) Interactions in Magnetically-Doped Graphene
- RKKY interaction in carbon nanotubes and graphene nanoribbons
- 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
Cited by in corpus (5)
- Indirect coupling between localized magnetic moments in triangular graphene nanoflakes
- Symmetries and hybridization in the indirect interaction between magnetic moments in MoS nanoflakes
- Electric field control of the indirect magnetic coupling through a short graphene nanoribbon
- MN4 Embedded Graphene Layers: Tunable Decay Rate of RKKY Interaction
- RKKY interaction in graphene at finite temperature