Gauging the 1-form symmetry in the X-Cube construction produces a web of relations to SPT phases with subsystem and higher-form symmetries plus subsystem symmetry fractionalization in the 3+1D toric code.
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A dipole-conserving spin chain with Ising interactions stabilizes antiferromagnetic dipole order at the level of spin pairs and undergoes transitions to conventional antiferromagnetic or ferromagnetic order depending on interaction sign and strength.
Introduces non-uniform cellular automata via lattice embedding to enable models on hyperbolic lattices for quantum many-body and percolation physics.
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There and Back Again: A Gauging Nexus between Topological and Fracton Phases
Gauging the 1-form symmetry in the X-Cube construction produces a web of relations to SPT phases with subsystem and higher-form symmetries plus subsystem symmetry fractionalization in the 3+1D toric code.
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Fractonic Constraints and Magnetic Order in a Dipole-Conserving Spin Chain
A dipole-conserving spin chain with Ising interactions stabilizes antiferromagnetic dipole order at the level of spin pairs and undergoes transitions to conventional antiferromagnetic or ferromagnetic order depending on interaction sign and strength.