General aspects of the anomaly-related magneto-conductance in Weyl semimetals

Magneto-conductance (MC) in Weyl semimetals is intensively studied as it is presumably related to the chiral magnetic effect. While the theory of anomaly contribution is widely accepted, its relation to the experimentally-observed MC remains controversial, because there are many other mechanisms for MC. For this purpose, the understanding on the general property of the MC is favorable, e.g., the effects of tilting, warping, and other details. However, studies on such effects are still limited, and no general understanding is reached so far. One challenge here is the lack of general and concise formalism, which is convenient for intuitive discussions.

In this work, we discuss the general behavior of anomaly-related MC by introducing a concise formalism. Using this formalism, we explicitly show that the MC in type-II Weyl semimetals is dominated by the electrons around the Weyl nodes [1]. We also show an intuitive explanation of the tilting dependence of the MC [1]. Our formalism also implies that the MC in type-I Weyl semimetals remains robust even when multiple Weyl nodes are enclosed in a Fermi surface [2].

[1] H. Ishizuka and N. Nagaosa, preprint (arXiv:1807.08147).
[2] H. Ishizuka and N. Nagaosa, preprint (arXiv:1808.09093).