Effects of topological quantum phase transitions on chiral transport properties of Weyl fermions

Topological Weyl semimetals are separated from trivial metals or insulators by a quantum critical point with anisotropic dispersion relations. We discuss the exotic quantum critical properties associated with such phase transitions. We particularly emphasize how such a quantum critical point governs the scaling laws for chiral transport properties arising due to the underlying Berry curvature in a time reversal symmetry breaking system. We also discuss the relevance of our results for time reversal symmetry breaking magnetic Weyl materials.