In most Weyl semimetal (WSMs), the Weyl nodes with opposite chiralities usually have the same type of band dispersions (either type-I or type-II), whereas realistic candidate materials hosting different types of Weyl nodes have not been identified to date. Here we report for the first time that, a ternary compound HfCuP, is an excellent WSM with the coexistence of type-I and type-II Weyl nodes. Our results show that, HfCuP totally contains six pairs of type-I and six pairs of type-II Weyl nodes in the Brillouin zone, all locating at the H-K path. These Weyl nodes situate slightly below the Fermi level, and do not coexist with other extraneous bands. The nontrivial band structure in HfCuP produces clear Fermi arc surface states in the (1 0 0) surface projection. Moreover, we find the Weyl nodes in HfCuP can be effectively tuned by strain engineering. These characteristics make HfCuP a potential candidate material to investigate the novel properties of type-I and type-II Weyl fermions, as well as the potential entanglements between them.

在大多数Weyl半金属（WSM）中，具有相反手性的Weyl节点通常具有相同类型的能带色散（I型或II型），而迄今尚未发现容纳不同类型Weyl节点的实际候选材料。在这里，我们首次报告三元化合物HfCuP是具有I型和II型Weyl节点共存的优秀WSM。我们的结果表明，HfCuP在布里渊区总共包含六对I型和六对II型Weyl节点，全部位于HK路径上。这些Weyl节点的位置略低于费米能级，并且不与其他无关频段共存。HfCuP中的非平整带结构在（1 0 0）表面投影中产生清晰的费米弧表面状态。此外，我们发现HfCuP中的Weyl节点可以通过应变工程有效地调整。这些特性使HfCuP成为研究I型和II型Weyl费米子的新特性以及它们之间潜在缠结的潜在候选材料。