One-dimensional mobility plus infinite on-site repulsion forces all particle exchanges to be even permutations, which exactly yields a fully spin-polarized metallic ground state in a Lieb-lattice model.
Takahashi, Half-filled Hubbard model at low tempera- ture, Journal of Physics C: Solid State Physics 10, 1289 (1977)
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Itinerant Ferromagnetism from One-Dimensional Mobility
One-dimensional mobility plus infinite on-site repulsion forces all particle exchanges to be even permutations, which exactly yields a fully spin-polarized metallic ground state in a Lieb-lattice model.