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.
Mielke, Ferromagnetism in the Hubbard model on line graphs and further considerations, Journal of Physics A: Math- ematical and General24, 3311 (1991)
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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.