We point out that, contrary to an assertion by Chen, Bergman and Burkov [Phys. Rev. B 88, 125110 (2013)], the non-quantized part of the intrinsic anomalous Hall conductivity can indeed be expressed as a Fermi-surface property even when Weyl points are present in the bandstructure.
@article{arxiv.1312.4200,
title = {Comment on "Weyl fermions and the anomalous Hall effect in metallic ferromagnets"},
author = {David Vanderbilt and Ivo Souza and F. D. M. Haldane},
journal= {arXiv preprint arXiv:1312.4200},
year = {2014}
}