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By using first-principles calculations, we propose that WC-type ZrTe is a newtype of topological semimetal (TSM). It has six pairs of chiral Weyl nodes inits first Brillouin zone, but it is distinguished from other existing TSMs byhaving additional two paris of massless fermions with triply degenerate nodalpoints as proposed in the isostructural compounds TaN and NbN. The mirrorsymmetry, three-fold rotational symmetry and time-reversal symmetry require allof the Weyl nodes to have the same velocity vectors and locate at the sameenergy level. The Fermi arcs on different surfaces are shown, which may bemeasured by future experiments. It demonstrates that the "material universe"can support more intriguing particles simultaneously.

Co-existence of Weyl Fermion and Massless Triply Degenerate Nodal Points