A quasi-periodic tight-binding model with a macroscopically degenerate zero-energy flat band shows class-I hyperuniform particle density in the fully occupied many-body state, with exactly balanced sublattice densities at the critical coupling λ=2.
Tasaki, Ferromagnetism in the Hubbard models with degen- erate single-electron ground states, Phys
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Quasi-periodic flat-band model constructed by molecular-orbital representation
A quasi-periodic tight-binding model with a macroscopically degenerate zero-energy flat band shows class-I hyperuniform particle density in the fully occupied many-body state, with exactly balanced sublattice densities at the critical coupling λ=2.