of GY. The results in present work show that the TM exchange coupling of the zigzag TM nanowire mediated by *sp* hybridized carbon atoms gives rise to long range ferromagnetic order except for Cr with anti-ferromagnetic order. The magnetic exchange interaction of TM chains follows like-Zener’s $p_z$-d exchange mechanism: the coexistence of out-of plane $p_z$-d and in-plane $p_{x-y}$-d exchange. Furthermore, we find that Fe and Co chains show considerable magnetic anisotropy energy (MAE) and orbital magnetic moment. The easy axis of the V, Cr, Mn and Fe chains is perpendicular to the surface, whereas the easy axis of Co lies in the surface. Moreover, only V chain shows relatively larger in-plane anisotropy. Our results open a new route to realize the applications of graphyne in spintronics.\
The remainder of the paper is organized as follows. Section II describes our computational methods. The results and discussions are presented in Sec. III. In Sec. III (A) we discuss the adsorption configuration of TMs on the surface of GY and their stability. The electronic structures, magnetic properties and the magnetic exchange coupling mechanism of TM chain on the surface of GY are presented in Sec. III (B) . In Sec. III (C) we 