  We study a holographic model which exhibits a quantum phase transition from
the strongly interacting Weyl semimetal phase to an insulating phase. In the
holographic insulating phase there is a hard gap in the real part of frequency
dependent diagonal conductivities. However, the anomalous Hall conductivity is
nonzero at zero frequency, indicting that it is a Chern insulator. This
holographic quantum phase transition is always of first order, signified by a
discontinuous anomalous Hall conductivity at the phase transition, in contrast
to the very continuous holographic Weyl semimetal/trivial semimetal phase
transition. Our work reveals the novel phase structure of strongly interacting
Weyl semimetal.
