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Abstract We propose and experimentally demonstrate the first example of Chern fractal insulators in an acoustic Sierpinski lattice. Through introducing fractality into the well-known Haldane model, we find that the topological phase diagram is significantly squeezed by about 0.5 times, compared with that of the original Haldane model. The energy spectra for different generations of a fractal lattice exhibits a hierarchy of self-similar energy bands in the form of a devil's staircase.
Abstract We demonstrate non-Hermitian topological phase transitions induced solely by imaginary disorder. Starting from the trivial phase in the well-known Benalcazar, Bernevig, and Hughes model, we find that adding sufficient imaginary disorder to the trivial bulk can lead to a higher-order topological insulator supporting topological corner-localized states. In experiments, we elaborately design a two-dimensional reconfigurable acoustic lattice with a loss configuration that can be randomly set.
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