Experimental observation of critical topology
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Experimental observation of critical topology

Nature • • science

Key Points:

  • Researchers have experimentally demonstrated critical gapless topological states characterized by entanglement spectrum and entanglement wavefunctions in both one- and two-dimensional systems using engineered phononic crystals.
  • This study bridges the gap between conventional continuous phase transitions and abrupt topological phase transitions, revealing a fundamental connection between topology and criticality.
  • The experiments, conducted on a classical platform but equivalent to quantum systems, enable direct imaging of topological boundary modes within gapless bulk continua.
  • Findings highlight topology-driven multi-criticality and a hierarchical structure of topological phases, showing that phase boundaries with distinct critical topology lead to multi-critical points in the phase diagram.
  • This work opens new experimental pathways for exploring topological physics at phase transitions, extending theoretical predictions beyond one-dimensional quantum systems to higher dimensions.

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