We present a theory of charge density wave (CDW) states in Weyl semimetals and their interplay with the chiral anomaly. In particular, we demonstrate a special nature of the shortest-period CDW state, which is obtained when the separation between the Weyl nodes equals exactly half a primitive reciprocal lattice vector. Its topological properties are shown to be distinct from all other Weyl CDW states. We make a connection between this observation and the three-dimensional fractional quantum Hall state, which was recently proposed to exist in magnetic Weyl semimetals.
@article{arxiv.2007.07256,
title = {Charge density waves in Weyl semimetals},
author = {Dan Sehayek and Manisha Thakurathi and A. A. Burkov},
journal= {arXiv preprint arXiv:2007.07256},
year = {2020}
}