For frustration-free Hamiltonians on any finite-dimensional lattice, the minimum spectral gap of any rectangular region is O(γ + 1/t²) where t is the shortest side length, improving previous thresholds.
Gapped and gapless phases of frustration-free spin-12 chains
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Improved local spectral gap thresholds for lattices of finite dimension
For frustration-free Hamiltonians on any finite-dimensional lattice, the minimum spectral gap of any rectangular region is O(γ + 1/t²) where t is the shortest side length, improving previous thresholds.