Topological
photonics has thrived in various optical systems over
the past decade for the fascinating properties of eliminating backscattering
losses and enhancing the efficiency of communication systems. The
demonstration of topology in strong light–matter coupling regimes
may prove tunable optical devices that are immune to disorder and
defects or achieve the extreme light confinement. Recently, the topological
properties of exciton–polaritons were experimentally studied
in deep cryogenic temperatures. As for another elementary quasiparticle
in solids, phonon–polaritons, which can remain stable at a
high temperature, the relative topological dispersion contours have
been observed very recently at room temperatures. Here, we experimentally
presented a topological valley transport of terahertz phonon–polaritons
in LiNbO3 photonic crystal slab. Topological waveguides
with two peculiar interfaces are designed and studied, where the phonon–polaritons
are generated through femtosecond laser pulses. We show the intensity
distribution and dispersion curves of phonon–polaritons propagating
in the topological waveguides at different bended interfaces, in which
the topological edge modes make smooth detours. Our work opened a
new path toward topological polaritonics at a valley-edge-mode based
phonon–polariton platform, which also provides insights to
the low loss phonon–polariton chips, strong light–matter
interactions, nonlinear topological photonics, and future THz communications.