  The study of spin-orbit coupling of photons has attracted much attention in
recent years, and leads to many potential applications in optics. In the
recently discovered metamaterial -- photonic crystals with Weyl points, the
pseudospin-orbit coupling of photons bears a resemblance to the spin-orbit
coupling. We study the pseudospin Hall effect of light in such metamaterials
and find that during total reflection, the light beam experiences a transverse
shift that is proportional to the pseudospin (or the monopole charge) of the
Weyl point. As the spin Hall effect has inspired many works to explore the
applications in optics, exploring the coupling between the orbital and
pseudospin degrees of freedom of photons can also be fruitful in the field of
optics, as well as in other fields where Weyl points can be realized.
