论文标题
$ d $ dimensional su（$ n $）哈伯德模型的铁磁性
Ferromagnetism in $d$-dimensional SU($n$) Hubbard models with nearly flat bands
论文作者
论文摘要
我们为SU（$ n $）Fermi-Hubbard型号提供了严格的结果，并在$ D $（$ \ ge 2 $）尺寸中有限跳跃。这些型号是在一类装饰的格子上定义的。我们首先研究了单粒子光谱底部的平坦带的模型，并证明地面状态在颗粒数量等于晶胞数量时表现出SU（$ n $）铁磁作用。然后，我们通过添加特定的跳跃术语并使底部频段分散来扰动模型。在相同的填充条件下，当底部带足够平坦并且库仑排斥力足够大时，地面状态保持SU（$ n $）的铁磁。
We present rigorous results for the SU($n$) Fermi-Hubbard models with finite-range hopping in $d$ ($\ge 2$) 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 dispersive. Under the same filling condition, it is proved that the ground states remain SU($n$) ferromagnetic when the bottom bands are sufficiently flat and the Coulomb repulsion is sufficiently large.
