  We study the spin-1 honeycomb lattice magnets with frustrated exchange
interactions. The proposed microscopic spin model contains first and second
neighbor Heisenberg interactions as well as the single-ion anisotropy. We
establish a rich phase diagram that includes a featureless quantum paramagnet
and various spin spiral states induced by the mechanism of order by quantum
disorder. Although the quantum paramagnet is dubbed featureless, it is shown
that, the magnetic excitations develop a contour degeneracy in the reciprocal
space at the band minima. These contour degenerate excitations are responsible
for the frustrated criticality from the quantum paramagnet to the ordered
phases. This work illustrates the effects of magnetic frustration on both
magnetic orderings and the magnetic excitations. We discuss the experimental
relevance to various Ni-based honeycomb lattice magnets.
