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Magnetic properties of Ga_1-xMn_xN are studied theoretically by employing a tight binding approach to determine exchange integrals J_ij characterizing the coupling between Mn spin pairs located at distances R_ij up to the 16th cation coordination sphere in zinc-blende GaN. It is shown that for a set of experimentally determined input parameters there are no itinerant carriers and the coupling between localized Mn^3+ spins in GaN proceeds via superexchange that is ferromagnetic for all exploreddoi:10.1051/epjconf/20147501003 fatcat:cmpuzncybfgg7lj3ocmcdh3kvq