  We consider the effects of momentum relaxation on the topological quantum
phase transitions in holographic Weyl semimetals. The translational symmetry
breaking in the field theory is realized in the framework of massive gravity.
We find that the critical value of the phase transition, characterized by the
anomalous Hall conductivity, decreases with the increasing of graviton mass,
i.e. the momentum relaxation strength. There exists a critical value of
graviton mass above which the topological phase transition disappears and
therefore the Weyl points are destroyed. All these phenomena are qualitatively
similar to that of axion fields induced momentum relaxation, indicating that a
universal feature emerges in the momentum relaxed holographic Weyl semimetals,
which is also consistent with the predictions from weakly coupled field theory.
