  We study the Kondo effect in three-dimensional (3D) Dirac materials and Weyl
semimetals. We find the scaling of the Kondo temperature with respect to the
doping $n$ and the coupling $J$ between the moment of the magnetic impurity and
the carriers of the semimetal. We find that when the temperature is much
smaller than the Kondo temperature the resistivity due to the Kondo effect
scales as the $n^{-4/3}$.We also study the effect of the interplay of
long-range scalar disorder and Kondo effect. In the presence of
disorder-induced long-range carrier density inhomogeneities the Kondo effect is
not characterized by a Kondo temperature but by a distribution of Kondo
temperatures. We obtain the expression of such distribution and show that its
features cause the appearance of strong non-Fermi liquid behavior. Finally we
compare the properties of the Kondo effect in 3D Dirac materials and 2D Dirac
systems like graphene and topological insulators.
