![]() ![]() Here, based on a tunable kagome model, we observe non-Abelian band topology and its transitions in acoustic semimetals, in which the multi-gap Hilbert space plays a key role. So far, this discipline has mostly focused on single-gap topology described by topological invariants such as Chern numbers. Topological phases of matter connect mathematical principles to real materials, and may shape future electronic and quantum technologies.
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