  The physical properties of metals are often given by the sum of the
contributions from the electrons consisting the Fermi surface (FS), and
therefore, fine structures of the electronic bands and Bloch functions are
often masked by the integral over FS. As a consequence, usually, the singular
structures in the electronic bands are often not reflected to the macroscopic
quantities. In this work, we investigate the anomaly-related magnetoresistance
in metals with type-II Weyl nodes close to the FS, and find that the
anomaly-related current increases divergently, showing a singular structure.
Detailed analysis on a simple model with multiple Weyl nodes shows that the
contribution to the magnetoresistance is dominated by the electrons in the
vicinity of the Weyl nodes; this is related to the fact that the current is
given by the square of the Berry curvature, which enhances the contribution
from the electrons around the Weyl nodes. The above results potentially allows
an estimate of the anomaly-induced current without precise information of the
entire Band structure.
