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This study examines the magnetic interactions between spatially-variablemanganese and chromium trimers substituted into a graphene superlattice. Usingdensity functional theory, we calculate the electronic band structure andmagnetic populations for the determination of the electronic and magneticproperties of the system. To explore the super-exchange coupling between thetransition-metal atoms, we establish the magnetic magnetic ground statesthrough a comparison of multiple magnetic and spatial configurations. Throughan analysis of the electronic and magnetic properties, we conclude that thepresence of transition-metal atoms can induce a distinct magnetic moment in thesurrounding carbon atoms as well as produce an RKKY-like super-exchangecoupling. It hoped that these simulations can lead to the realization ofspintronic applications in graphene through electronic control of the magneticclusters.

Spatial dependence of the superexchange interactions for transition-metal trimers in graphene