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We theoretically propose a second-order topological magnon insulator bystacking the van der Waals honeycomb ferromagnets with antiferromagneticinterlayer coupling. The system exhibits Z$_{2}$ topological phase, protectedby pseudo-time-reversal symmetry (PTRS). An easy-plane anisotropy term breaksPTRS and destroys the topological phase. Nevertheless, it respects a magnetictwo-fold rotational symmetry which protects a second-order topological phasewith corner modes in bilayer and hinge modes along stacking direction.Moreover, an introduced staggered interlayer coupling establishes aZ$_{2}$$\times$Z topology, giving rise to gapped topological surface modescarrying non-zero Chern numbers. Consequently, chiral hinge modes propagatealong the horizontal hinges in a cuboid geometry and are robust againstdisorders. Our work bridges the higher-order topology and magnons in van derWaals platforms, and could be used for constructing topological magnonicdevices.

Higher-order Topological Phases of Magnons in van der Waals Honeycomb Ferromagnets