  We theoretically analyze the Fano interference in a single impurity
multi-Weyl semimetal hybrid system and show the emergence of the topological
charge Fano effect in the bulk local density of states. In multi-Weyl
semimetals, the number of Fermi arcs at the system boundaries is determined by
the topological charge $J$, a direct consequence of the "bulk-boundary"
correspondence principle. Analogously, we find that $J$ also modulates the bulk
Fano profile of the system with an embedded quantum impurity. Thus, by
increasing $J$, the Fano lineshape evolves from resonant, typical for $J=1$
(single Weyl), towards antiresonant, extrapolating to the so-called hyper Weyl
semimetals with $J\gg1$. Specially for the maximum case protected by the
rotational symmetry $C_{2J=6}$, namely the $J=3$ (triple Weyl), which acquires
asymmetric Fano profile, the Fano parameter absolute value is predicted to be
$\tan(C_{2J=6})$, where $C_{2J}\equiv(360^{\circ}/2J)$ defines the rotational
angle. Hence, the Fano discretization in the $J$ term introduces the
topological charge Fano effect in multi-Weyl semimetals. We also suggest a
transport device where we expect that the proposed Fano effect could be
detected.
