Derives asymptotic real-space decay of flat-band projectors: exponential with algebraic prefactor for linearly independent CLS, compact for orthogonal limit, and power-law for singular limit with diverging localization length.
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A discretized higher-rank gauge theory on a square lattice produces a classical Ising fracton spin liquid with preserved tensor Gauss law, but quantum perturbations induce severe Hilbert space fragmentation that blocks fractonic quantum dynamics.
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Real space decay of flat band projectors from compact localized states
Derives asymptotic real-space decay of flat-band projectors: exponential with algebraic prefactor for linearly independent CLS, compact for orthogonal limit, and power-law for singular limit with diverging localization length.
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Classical fracton spin liquid and Hilbert space fragmentation in a 2D spin-$1/2$ model
A discretized higher-rank gauge theory on a square lattice produces a classical Ising fracton spin liquid with preserved tensor Gauss law, but quantum perturbations induce severe Hilbert space fragmentation that blocks fractonic quantum dynamics.