We systematically investigate the anisotropic magneto-conductivity and planar Hall effect in tilted magnetic topological semimetals in the frame of Kubo formula by considering the vertex correction of velocity. The nonzero anisotropic magneto-conductivity is due to the intrinsic magnetization by magnetic doping rather than the external magnetic field previously studied in literatures. In the scenario, tilt, which is common in band structure, plays a key role in this anisotropic magneto-conductivity. This anisotropic magneto-conductivity completely originates from the band anisotropy. The vertex correction only amends the magnitude, but does not change the qualitative behavior of the longitudinal conductivity. However, the planar Hall conductivity is always zero for tilt along both x and y directions in vivid contrast to the case arising from an external magnetic field. Our work offers a route to understand the anisotropic magneto-conductivity effect in tilted Weyl semimetals with Zeeman field. It will be helpful to get a deeper understanding of the transport characteristic in tilted topological semimetals.

我们通过考虑速度的顶点校正，在 Kubo 公式的框架下系统地研究了倾斜磁性拓扑半金属中的各向异性磁导率和平面霍尔效应。非零各向异性​​磁导率是由于磁掺杂的内在磁化而不是先前在文献中研究的外部磁场。在这种情况下，能带结构中常见的倾斜在这种各向异性磁导率中起着关键作用。这种各向异性的磁导率完全源于能带的各向异性。顶点校正仅修正幅度，但不改变纵向电导率的定性行为。然而，对于沿x和y的倾斜，平面霍尔电导率始终为零方向与由外部磁场产生的情况形成鲜明对比。我们的工作为理解具有塞曼场的倾斜外尔半金属中的各向异性磁导率效应提供了一条途径。这将有助于更深入地了解倾斜拓扑半金属的输运特性。