Scaling the topological transport based on an effective Weyl picture

Magnetic topological semimetals are increasingly fueling interest in exotic electronic–thermal physics, including thermoelectrics and spintronics. To control the transport of topological carriers in such materials becomes a central issue. However, the topological bands in real materials are normally intricate, leaving obstacles to understanding the transports in a physically clear way. Here, we proposed an effective Weyl picture to effectively describe the macroscopic transport for topological semimetals with effective Weyl bands and simplified parameters. The essential sign regularity of anomalous Hall and Nernst transports was revealed by connecting to the chiralities of Weyl nodes and carrier types. A generalizable temperature scaling was verified by experimental transports of magnetic topological materials. Upon a double-Weyl picture, a concept of Berry-curvature ferrimagnetic structure, as an analogy to the real-space magnetic structure, was further proposed and well described the emerging sign reversal of Nernst thermoelectric transports in temperature scale. Our study offers a convenient tool for scaling the Weyl-fermion-related transport physics and promotes the modulations and applications of magnetic topological materials and quantum devices.