  The feature-rich electronic and magnetic properties of fluorine-doped
graphene nanoribbons are investigated by the first-principles calculations.
They arise from the cooperative or competitive relations among the significant
chemical bonds, finite-size quantum confinement and edge structure. There exist
C-C, C-F, and F-F bonds with the multi-orbital hybridizations. Fluorine adatoms
can create the p-type metals or the concentration- and distribution-dependent
semiconductors, depending on whether the $\pi$ bonding is seriously suppressed
by the top-site chemical bonding. Furthermore, five kinds of spin-dependent
electronic and magnetic properties cover the non-magnetic and ferromagnetic
metals, the non-magnetic semiconductors, and the anti-ferromagnetic
semiconductors with/without the spin splitting. The diverse essential
properties are clearly revealed in the spatial charge distribution, the spin
density, and the orbital-projected density of states.
