Topological defects of valence plaquette solid order are fractons, so plaquette melting can proceed via dipole condensation and produce a gapless algebraic bond liquid.
Compactifying fracton stabilizer models
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abstract
We investigate two dimensional compactifications of three dimensional fractonic stabilizer models. We find the two dimensional topological phases produced as a function of compactification radius for the X-cube model and Haah's cubic code. Furthermore, we uncover translation symmetry-enrichment in the compactified cubic code that leads to twisted boundary conditions.
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2019 1verdicts
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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.