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Using density functional theory plus Hubbard-U (DFT+U) approach, we find thatquasi one-dementation(1D) 3d transition metal(TM) zigzag nanowire can beconstructed by TM adsorbed on the surface of graphyne sheet. The results showthat the TM exchange coupling of the zigzag nanowire mediated by sp hybridizedcarbon atoms gives rise to long range ferromagnetic order except for Cr withanti-ferromagnetic order. The magnetic exchange interaction of TM chainsfollows like-Zener's p_z-d exchange mechanism: the coexistence of out-of planep_z-d and in-plane p_x-y-d exchange. Finally, by including spin-orbitinteractions within spin-DFT, we calculate the magnetic anisotropy energy ofthe TM chain on graphyne. We find that the Fe and Co chains show considerablemagnetic anisotropy energy (MAE) and orbital magnetic moment. The easy axis ofV, Cr, Mn and Fe chains is perpendicular to the surface, whereas the easy axisof Co lies in the surface. Moreover, only V chain shows relatively largerin-plane anisotropy. Our results open a new route to realize the applicationsof graphyne in spintronics.

Magnetic Exchange Coupling and Anisotropy of 3d Transition-Metal Nanowire on the Surface of Graphyne Sheet