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.
Nagaoka, Ferromagnetism in a narrow, almost half- filled s band, Physical Review 147, 392 (1966)
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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.