RKKY interaction in gapped or doped graphene

Abstract

In our previous work (E. Kogan, Phys. Rev. B {\bf 84}, 115119 (2011)) we calculated RKKY interaction between two magnetic impurities in pristine graphene using the Green's functions (GF) in the coordinate -- imaginary time representation. Now we show that the calculations of the GF in this representation can be simplified by using the Feynman's trick, which allows to easily calculate RKKY interaction in gapped graphene. We also present calculations of the RKKY interaction in gapped or doped graphene using the coordinate -- imaginary frequency representation. Both representations, corresponding to calculation of the bubble diagram in Euclidean space, have an important advantage over those corresponding to calculation in Minkowskii space, which are very briefly reviewed in the Appendix to the present work. The former, in distinction to the latter, operate only with the convergent integrals from the start to the end of the calculation.

LaTeX, 4 pages. arXiv admin note: substantial text overlap with arXiv:1211.3369

References in corpus (19)

• Modeling disorder in graphene
• Local defects and ferromagnetism in graphene layers
• RKKY in half-filled bipartite lattices: graphene as an example
• Diluted Graphene Antiferromagnet
• RKKY Interaction in Graphene from Lattice Green's Function
• 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
• Analytical Expression for the RKKY Interaction in Doped Graphene
• RKKY interaction in carbon nanotubes and graphene nanoribbons
• Ordered states of adatoms on graphene
• Ruderman-Kittel-Kasuya-Yosida interactions on a bipartite lattice
• Electronic structure of graphene beyond the linear dispersion regime
• The RKKY Coupling between Impurity Spins in Graphene Nanoflakes
• RKKY Interaction in Disordered Graphene
• Gap-modulated doping effects on indirect exchange interaction between magnetic impurities in graphene
• On the Ruderman-Kittel-Kasuya-Yosida interaction in graphene

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• Ruderman-Kittel-Kasuya-Yosida interaction in biased bilayer graphene
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• Noncollinear twisted RKKY interaction on the optically driven SnTe(001) surface
• RKKY interaction and intervalley processes in p-doped transition metal dichalcogenides
• Indirect RKKY interaction in armchair graphene nanoribbons
• Effect of magnetic field and chemical potential on the RKKY interaction in the $\alpha$-${\mathcal{T}}_3$ lattice
• Magnetoplasmons for the $\alpha$-T${}_3$ model with filled Landau levels
• Indirect coupling between localized magnetic moments in triangular graphene nanoflakes
• Probing topological phases in a perturbed Kane-Mele model via RKKY interaction: Application to monolayer jacutingaite Pt${}_2$HgSe${}_3$
• RKKY interaction in graphene at finite temperature
• Highly tunable magnetic coupling in ultrathin topological insulator films due to impurity resonances
• Majorana Signatures in Planar Tunneling through a Kitaev Spin Liquid