Topological defects of valence plaquette solid order are fractons, so plaquette melting can proceed via dipole condensation and produce a gapless algebraic bond liquid.
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Emergent fractons and algebraic quantum liquid from plaquette melting transitions
Topological defects of valence plaquette solid order are fractons, so plaquette melting can proceed via dipole condensation and produce a gapless algebraic bond liquid.