Exchange interaction of magnetic impurities in graphene

Abstract

The indirect exchange interaction between magnetic impurities localized in a graphene plane is considered theoretically, with the influence of intrinsic spin-orbit interaction taken into account. Such an interaction gives rise to an energy gap at the Fermi level, which makes the usual RKKY model not applicable. The results show that the effective indirect exchange interaction is described by a range function which decays exponentially with the distance between magnetic moments. The interaction is also shown to depend on whether the two localized moments belong to the same sublattice or are located in two different sublattices.

5 pages, 1 figure

References in corpus (9)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Strong suppression of weak (anti)localization in graphene
• Quantum-limited shot noise in graphene
• Quantum Hall Ferromagnetism in Graphene
• Local defects and ferromagnetism in graphene layers
• Coulomb Interactions and Ferromagnetism in Pure and Doped Graphene

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• Floquet-driven indirect exchange interaction mediated by topological insulator surface states
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