Magnetic localized states and tunable magnetism of single vacancies in generalized chiral graphene nanoribbons

In this paper, we obtain the generalized chiral edges of graphene nanoribbons, through longitudinal unzipping of carbon nanotubes. After analysing the stability and magnetic localized states of the generalized chiral edges based on first-principles calculations, we find the novel phenomena will arise, i.e., antiferromagnetic order in one edge and ferromagnetic order between different edges. And furthermore, the vacancy in the bulk can induce or enhance the magnetic states in the edges.