  Confinement of electromagnetic fields at the subwavelength scale via
metamaterial paradigms is an established method to engineer light-matter
interaction in most common material systems, from insulators to semiconductors,
from metals to superconductors. In recent years, this approach has been
extended to the realm of topological materials, providing a new avenue to
access nontrivial features of their electronic band structure. In this review,
we survey various topological material classes from a photonics standpoint,
including crystal growth and lithographic structuring methods. We discuss how
exotic electronic features such as spin-selective Dirac plasmon polaritons in
topological insulators or hyperbolic plasmon polaritons in Weyl semimetals may
give rise to unconventional magneto-optic, non-linear and circular
photogalvanic effects in metamaterials across the visible to infrared spectrum.
Finally, we dwell on how these effects may be dynamically controlled by
applying external perturbations in the form of electric and magnetic fields or
ultrafast optical pulses. Through these examples and future perspectives, we
argue that topological insulator, semimetal and superconductor metamaterials
are unique systems to bridge the missing links between nanophotonic, electronic
and spintronic technologies.
