The induced axion-phason field in Weyl semimetals

The Weyl semimetal in a constant magnetic field is studied. The ferromagnetic interaction is projected to the lowest (n=0) Landau level. The higher Landau levels are considered at the one-loop approximation and renormalize the n=0 ferromagnetic interaction. This theory, for a Weyl semimetal with two nodes in the direction of the magnetic field, gives rise to a one-dimensional sliding charge-density-wave (CDW) when the chemical potential is above the highest occupied Landau level (in the insulating phase), and is absent in the metallicphase. Our results are in agreement with the experimental findings of J. Gooth et al. [Nature 575, 315 (2019)].