Variable range of the RKKY interaction in edged graphene
arXiv:1308.6513
Abstract
The indirect exchange interaction is one of the key factors in determining the overall alignment of magnetic impurities embedded in metallic host materials. In this work we examine the range of this interaction in magnetically-doped graphene systems in the presence of armchair edges using a combination of analytical and numerical Green function (GF) approaches. We consider both a semi-infinite sheet of graphene with a single armchair edge, and also quasi-one-dimensional armchair edged graphene nanoribbons (GNRs). While we find signals of the bulk decay rate in semi-infinite graphene and signals of the expected one-dimensional decay rate in GNRs, we also find an unusually rapid decay for certain instances in both, which manifests itself whenever the impurities are located at sites which are a multiple of three atoms from the edge. This decay behavior emerges from both the analytic and numerical calculations, and the result for semi-infinite graphene can be interpreted as an intermediate case between ribbon and bulk systems.
References in corpus (18)
- Energy Band Gap Engineering of Graphene Nanoribbons
- Energy Gaps in Graphene Nanoribbons
- Half-Metallic Graphene Nanoribbons
- Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
- Magnetic Correlations at Graphene Edges
- Etching and Narrowing of Graphene from the Edges
- RKKY in half-filled bipartite lattices: graphene as an example
- Diluted Graphene Antiferromagnet
- RKKY Interaction in Graphene from Lattice Green's Function
- Kondo Quantum Criticality of Magnetic Adatoms in Graphene
- Analytical Expression for the RKKY Interaction in Doped Graphene
- RKKY interaction in carbon nanotubes and graphene nanoribbons
- Dynamic RKKY interaction in graphene
- RKKY interaction between adsorbed magnetic impurities in graphene: symmetry and strain effects
- Indirect RKKY interaction in armchair graphene nanoribbons
- Strain-induced modulation of magnetic interactions in graphene
- Indirect exchange of magnetic impurities in zigzag graphene ribbon
- Spin Currents in Metallic Nanostructures; Explicit Calculations