  The Mott transition in honeycomb compounds with significant spin-orbit
coupling is explored. At finite temperatures we identify a novel semimetallic
phase located between a topological insulator and a topological Mott insulator.
This semimetal is characterized by having no charge gap, no quasiparticles and
gapped spin excitations with non-trivial topological properties. While charge
conduction is incoherent involving mean-free paths violating the
Mott-Ioffe-Regel limit, spin excitations can be transported ballistically along
the edges giving rise to a quantized spin conductance. Such bad topological
semimetal could be searched for close to the Mott transition in certain twisted
bilayers of transition metal dicalchogenides.
