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For a nitrogen dimer in insulating MgO, a ferromagnetic coupling betweenspin-polarized $2p$-holes is revealed by calculations based on the densityfunctional theory amended by an on-site Coulomb interaction and corroborated bythe Hubbard model. It is shown that the ferromagnetic coupling is facilitatedby a T-shaped orbital arrangement of the $2p$-holes, which is in its turncontrolled by an intersite Coulomb interaction due to the directionality of the$p$-orbitals. We thus conjecture that this interaction is an importantingredient of ferromagnetism in band insulators with $2p$ dopants.

Ferromagnetic spin coupling of 2p-impurities in band insulators stabilized by intersite Coulomb interaction: Nitrogen-doped MgO