Realizing ideal Weyl semimetal state with a single pair of Weyl points has been a long-sought goal in the field of topological semimetals. Here, we reveal such a state in the Cr-based half-Heusler compounds $X\mathrm{CrTe}$ ($X=\mathrm{K}$, Rb). We show that these materials have a half-metal ground state, with the Fermi level crossing only one spin channel. Importantly, the Fermi surface is clean, consisting of the minimal number (i.e., a single pair) of spin-polarized Weyl points, so the state represents an ideal Weyl half-semimetal. We show that the locations of the two Weyl points and the associated Chern vector can be flexibly tuned by rotating the magnetization vector. The minimal surface Fermi arc pattern and its contribution to anomalous Hall transport are discussed. Our finding offers an ideal material platform for exploring magnetic Weyl fermions, which will also facilitate the interplay between Weyl physics and spintronics.

中文翻译：

---

半赫斯勒化合物 XCrTe ( X=K , Rb) 中具有一对 Weyl 点的理想自旋极化 Weyl 半金属

利用一对Weyl点实现理想的Weyl半金属态一直是拓扑半金属领域长期追求的目标。在这里，我们揭示了 Cr 基半霍斯勒化合物中的这种状态$X\mathrm{碲化铬}$（$X=\mathrm{K}$，铷）。我们证明这些材料具有半金属基态，费米能级仅穿过一个自旋通道。重要的是，费米表面是干净的，由最少数量（即一对）自旋极化韦尔点组成，因此该状态代表理想的韦尔半半金属。我们表明，两个 Weyl 点的位置和相关的 Chern 矢量可以通过旋转磁化矢量来灵活调整。讨论了最小表面费米弧模式及其对反常霍尔传输的贡献。我们的发现为探索磁性外尔费米子提供了一个理想的材料平台，这也将促进外尔物理学和自旋电子学之间的相互作用。