# Ferromagnetism in d-Dimensional SU(n) Hubbard Models with Nearly Flat Bands

@article{Tamura2020FerromagnetismID, title={Ferromagnetism in d-Dimensional SU(n) Hubbard Models with Nearly Flat Bands}, author={Kensuke Tamura and Hosho Katsura}, journal={Journal of Statistical Physics}, year={2020}, volume={182}, pages={1-20} }

We present rigorous results for the SU( n ) Fermi–Hubbard models with finite-range hopping in d ( $$\ge 2$$ ≥ 2 ) dimensions. The models are defined on a class of decorated lattices. We first study the models with flat bands at the bottom of the single-particle spectrum and prove that the ground states exhibit SU( n ) ferromagnetism when the number of particles is equal to the number of unit cells. We then perturb the models by adding particular hopping terms and make the bottom bands…

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