We predict that the paramagnetic state of inversion-breaking quaternary Heusler alloy CrVTiAl is a Weyl semimetal candidate. There are 24 Weyl nodes (WN) appearing at the same energy in the first Brillouin zone without spin-orbit coupling (SOC). One WN splits into a pair of Weyl nodes (WN1 and WN2) of the same chirality when considering SOC because SOC removes the spin degeneracy. Clear surface state Fermi arc structures on the (111) surface are also obtained. The formation mechanism of the Weyl nodes is independent of point symmetries, i.e., the number and chirality of Weyl nodes are not affected when the point symmetries are broken slightly.

中文翻译：

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四元赫斯勒化合物 CrAlTiV 中的非磁性拓扑外尔半金属

我们预测逆向破坏四元赫斯勒合金 CrVTiAl 的顺磁性状态是 Weyl 半金属的候选者。在没有自旋轨道耦合 (SOC) 的第一布里渊区中有 24 个外尔节点 (WN) 以相同的能量出现。在考虑 SOC 时，一个 WN 分裂成一对具有相同手性的 Weyl 节点（WN1 和 WN2），因为 SOC 消除了自旋简并。还获得了（111）表面上清晰的表面态费米弧结构。Weyl 节点的形成机制与点对称性无关，即当点对称性被轻微破坏时，Weyl 节点的数量和手性不受影响。