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We study the role of non-locality of exchange in a neutral zigzag graphenenanoribbon within the $\pi$-orbital unrestricted Hartree-Fock approximation.Within this theory we find that the magnetic features are further stabilizedfor both the intra-edge and inter-edge exchange compared to mean field theoriesof zigzag ribbon based on local exchange (like the Hubbard model or theab-initio Local Density Approximation). The inter-edge exchange produces anenhancement of the band-gap of the magnetic ground-state solutions. The effectof this enhanced exchange on the edge states can not be satisfactorily achievedby a local interaction with renormalized parameters.

Non-local exchange effects in zigzag edge magnetism of neutral graphene nanoribbons