The importance of electron-electron interactions in the RKKY coupling in graphene

Abstract

We show that the carrier-mediated exchange interaction, the so-called RKKY coupling, between two magnetic impurity moments in graphene is significantly modified in the presence of electron-electron interactions. Using the mean-field approximation of the Hubbard-$U$ model we show that the $(1+\cos (2{\mathbf{k}}_D\cdot \mathbf{R})$-oscillations present in the bulk for non-interacting electrons disappear and the power-law decay becomes more long ranged with increasing electron interactions. In zigzag graphene nanoribbons the effects are even larger with any finite $U$ rendering the long-distance RKKY coupling distance independent. Comparing our mean-field results with first-principles results we also extract a surprisingly large value of $U$ indicating that graphene is very close to an antiferromagnetic instability.

4 pages, 3 figures

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• The RKKY Coupling between Impurity Spins in Graphene Nanoflakes
• RKKY interaction between adsorbed magnetic impurities in graphene: symmetry and strain effects
• Anisotropic RKKY interaction in spin polarized graphene
• Indirect RKKY interaction in armchair graphene nanoribbons
• Strain-induced modulation of magnetic interactions in graphene
• Magnetization profile for impurities in graphene nanoribbons
• Macroscopic Degeneracy and Emergent Frustration in a Honeycomb Lattice Magnet
• Focusing RKKY interaction by graphene P-N junction
• Indirect coupling between localized magnetic moments in triangular graphene nanoflakes
• RKKY interaction in bilayer graphene
• RKKY interaction between extended magnetic defect lines in graphene
• Electric field control of the indirect magnetic coupling through a short graphene nanoribbon
• Noncollinear exchange interaction in transition metal dichalcogenide edges
• Ground-state magnetic phase diagram of bow-tie graphene nanoflakes in external magnetic field
• Inter-electron interactions and the RKKY potential between H adatoms in graphene
• Theory of Vacancy-Induced Intrinsic Magnetic Impurity with Quasi-Localized Spin Moment in Graphene
• MN4 Embedded Graphene Layers: Tunable Decay Rate of RKKY Interaction
• Non-local control of spin-spin correlation in finite geometry helical edge
• Selective generation and amplification of RKKY interactions by P-N interface
• On the Sign of Fermion-Mediated Interactions
• RKKY interaction in one-dimensional flat-band lattices
• Dynamic RKKY interaction between magnetic moments in graphene nanoribbons
• Indirect coupling between localized magnetic moments in zero-dimensional graphene nanostructures (quantum dots)
• Variable range of the RKKY interaction in edged graphene
• Electric field control of spins in bilayer graphene: Local moment formation and local moment interactions