Compactifying fracton stabilizer models

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.

15 + 2 pages, 4 figures, 1 + 6 tables

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Cited by in corpus (31)

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• The low-energy limit of some exotic lattice theories and UV/IR mixing
• Fractonic Superfluids
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• Topological Defect Networks for Fractons of all Types
• Crystal-to-Fracton Tensor Gauge Theory Dualities
• Twisted foliated fracton phases
• Fracton fusion and statistics
• Sorting topological stabilizer models in three dimensions
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• Emergent fractons and algebraic quantum liquid from plaquette melting transitions
• Fractons with Twisted Boundary Conditions and Their Symmetries
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• Fractons from polarons
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• Fractalizing quantum codes
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• Screw dislocations in the X-cube fracton model
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