HIGHLIGHTS
SUMMARY
The authors report an approach for topological phononics employing such unique interplay, and demonstrate the realization of type-II nodal rings, elusive in phononics, in a simple three-dimensional phononic crystal. Type-II nodal rings, as line degeneracies in momentum space with exotic properties from strong tilting, are directly observed through ultrasonic near-field scanning. Nontrivial band topologies, stemming from nodal points of quantum condensed matters where energy bands intersect each other in the reciprocal space1,2, have been discovered in photonic and phononic systems3,4. In fact, among the band topologies besides touching . . .
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