  Propagating chiral magnetic waves (CMW) are expected to exist in chiral
plasmas due to the interplay between the chiral magnetic and chiral separation
effects induced by the presence of a chiral anomaly. Unfortunately, it was
pointed out that, because of the effects of electric conductivity and
dissipation, CMW are overdamped and therefore their signatures are unlikely to
be seen in heavy-ion collision experiments and in the quark gluon plasma.
Nonetheless, the chiral anomaly plays a fundamental role in Weyl semimetals and
their anomalous transport properties as well. Hence, CMW could be potentially
observed in topological semimetals using table-top experiments. By using a
holographic model for strongly coupled Weyl semimetals, we investigate in
detail the nature of CMW in presence of Coulomb interactions and axial charge
relaxation and estimate whether, and in which regimes, CMW could be observed as
underdamped collective excitations in topological materials.
