In this paper, we present a simple model of a three-dimensional insulating magnetic structure which represents a magnonic analog of the layered electronic system described in [Phys. Rev. Lett. {\bf 107}, 127205 (2011)]. In particular, our model realizes Weyl magnons as well as surface states with a Dirac spectrum. In this model, the Dzyaloshinskii-Moriya interaction is responsible for the separation of opposite Weyl points in momentum space. We calculate the intrinsic (due to the Berry curvature) transport properties of Weyl and so-called anomalous Hall effect (AHE) magnons. The results are compared with fermionic analogs.
@article{arxiv.1710.02115,
title = {Spin Hall and Nernst effects of Weyl magnons},
author = {Vladimir A. Zyuzin and Alexey A. Kovalev},
journal= {arXiv preprint arXiv:1710.02115},
year = {2018}
}