  We study the chiral vortical conductivity in a holographic Weyl semimetal
model, which describes a topological phase transition from the strongly coupled
topologically nontrivial phase to a trivial phase. We focus on the temperature
dependence of the chiral vortical conductivity where the mixed
gauge-gravitational anomaly plays a crucial role. After a proper
renormalization of the chiral vortical conductivity by the anomalous Hall
conductivity and temperature squared, we find that at low temperature in both
the Weyl semimetal phase and the quantum critical region this renormalized
ratio stays as universal constants. More intriguingly, this ratio in the
quantum critical region depends only on the emergent Lifshitz scaling exponent
at the quantum critical point.
