  Shortly after the discovery of Weyl semimetals properties related to the
topology of their bulk band structure have been observed, e.g. signatures of
the chiral anomaly and Fermi arc surface states. These essentially single
particle phenomena are well understood but whether interesting many-body
effects due to interactions arise in Weyl systems remains much less explored.
Here, we investigate the effect of interactions in a microscopic model of a
type-II Weyl semimetal in a strong magnetic field. We identify a charge density
wave (CDW) instability even for weak interactions stemming from the emergent
nesting properties of the type-II Weyl Landau level dispersion. We map out the
dependence of this CDW on magnetic field strength. Remarkably, as a function of
decreasing temperature a cascade of CDW transitions emerges and we predict
characteristic signatures for experiments.
