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Gapless Topological States

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Researchers observe critical topology in phononic crystal experiments

Scientists reported experimental evidence of 'critical topology'—topological features existing at the boundary between phases rather than within stable phases—using engineered phononic crystals. They characterized gapless topological states through entanglement spectrum and entanglement wavefunction analysis in both one- and two-dimensional systems, and directly imaged topological boundary modes within a gapless bulk continuum.