Weyl Nodal Point-Line Fermion in Ferromagnetic Eu₅Bi₃

On the basis of ab initio calculations and a low-energy effective k· p model, we propose a Weyl nodal point-line (WNPL) fermion, composed of 0D Weyl points and a 1D Weyl nodal line, in the ferromagnetic material Eu₅Bi₃. In the absence of spin-orbital coupling (SOC), the spin-up bands host a pair of triply degenerate points together with a bird-cage-like node structure. In the presence of SOC with (001) magnetization, each triplet point splits into a double Weyl point and a single Weyl point accompanied by two nodal rings, forming two sets of WNPL fermions near the Fermi level. The novel properties of the WNPL fermion are explored by revealing the unusual Berry curvature field and demonstrating the pinned chiral surface states with exotic Fermi arcs. Our work offers new ideas for exploring novel topological semimetal states with diverse band-crossing dimensions and provides a candidate for future experimental realization.