As condensed-matter manifestations of the chiral anomaly, the coexistence of positive longitudinal magnetoconductivity (LMC) and the planar Hall effect (PHE) is regarded as a characteristic transport signal for the Weyl semimetal (WSM) phase. By including a finite Newtonian mass into the general linearized WSM model, we derive an analytical expression for the chiral chemical potential, which includes a topological term of the chiral anomaly and a nontopological term. The nontopological term stems from the Zeeman-field-induced tilt of the Weyl cones, which breaks the symmetry of the fermion filling between the Weyl valleys of opposite chiralities and further leads to a chiral chemical potential $\propto \mathit{E}·\mathit{B}$, much as the effect of the chiral anomaly. We demonstrate that the resulting LMC is positive and can coexist with the PHE without invoking the mechanism of the chiral anomaly. Hence, the chiral chemical potential might not be exclusively respected to the chiral anomaly. Experimentally, one can distinguish the chiral anomaly from the proposed tilt mechanism by inspecting the dependence of magnetoconductivity on the Fermi energy.

中文翻译：

---

磁性外尔半金属中塞曼场引起的非拓扑手性化学势

作为手征异常的凝聚态表现，正纵向磁导率 (LMC) 和平面霍尔效应 (PHE) 的共存被认为是外尔半金属 (WSM) 相的特征传输信号。通过在一般线性化 WSM 模型中包含有限牛顿质量，我们推导出手性化学势的解析表达式，其中包括手性异常的拓扑项和非拓扑项。非拓扑术语源于塞曼场引起的外尔锥体倾斜，这打破了相反手性外尔谷之间费米子填充的对称性，并进一步导致了手性化学势$\propto \mathit{乙}·\mathit{乙}$，就像手性异常的影响一样。我们证明所得的 LMC 是阳性的，并且可以与 PHE 共存，而不会调用手性异常的机制。因此，手性化学势可能并不完全符合手性异常。实验上，通过检查磁导率对费米能量的依赖性，可以将手性异常与所提出的倾斜机制区分开来。