论文标题
严格的结果以吸引人的SU（$ n $）Hubbard模型的基础状态
Rigorous results on the ground state of the attractive SU($N$) Hubbard model
论文作者
论文摘要
我们研究具有颗粒 - 孔对称性的有吸引力的SU（$ n $）Hubbard模型。该型号是在$ a $（b）$ sublattice中的$ n_a $ $（n_b）$的两部分晶格上定义的。我们证明了三个定理，使我们能够识别基本的地面属性：退化，费米数和su（$ n $）量子号。我们还表明，当$ | n_a-n_b | $宏观上时，基态表现出电荷密度波顺序。即使没有翻译不变性，定理也可以在任何维度上使用两分晶格。
We study the attractive SU($N$) Hubbard model with particle-hole symmetry. The model is defined on a bipartite lattice with the number of sites $N_A$ $(N_B)$ in the $A$ $(B)$ sublattice. We prove three theorems that allow us to identify the basic ground-state properties: the degeneracy, the fermion number, and the SU($N$) quantum number. We also show that the ground state exhibits charge density wave order when $|N_A-N_B|$ is macroscopically large. The theorems hold for a bipartite lattice in any dimension, even without translation invariance.
