Ferromagnetically ordered states in the Hubbard model on the H 00 hexagonal golden-mean tiling
Ferromagnetically ordered states in the Hubbard model on the H 00 hexagonal golden-mean tiling
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H 00 六边形黄金分割平铺上 Hubbard 模型中的铁磁有序态
DOI：
10.1103/physrevb.109.014413
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发表时间：
2024
影响因子：
3.7
通讯作者：
Matsubara T
中科院分区：
文献类型：
--
作者：
Matsubara T
本文研究了二维六角金平均准周期镶嵌上半填充Hubbard模型的磁性。镶嵌由大小六边形和平行四边形组成，其顶点模型是二分的，子晶格不平衡。紧束缚模型的平铺宏观简并态在。我们发现存在两个扩展的状态，在一个子晶格，除了在其他的限制状态。这种性质不同于著名的二维准周期镶嵌，如彭罗斯和阿曼-本克尔镶嵌。将Lieb定理应用于平铺的Hubbard模型，我们得到了受限态的精确分数，其中是黄金平均值。这导致在弱耦合极限下的铁磁有序状态。随着库仑相互作用的增加，磁链中的交错磁矩逐渐增加。交叉行为的磁有序状态也解决在垂直空间分析。
We study magnetic properties of the half-filled Hubbard model on the two-dimensionalhexagonal golden-mean quasiperiodic tiling. The tiling is composed of large and small hexagons, and parallelograms, and its vertex model is bipartite with a sublattice imbalance. The tight-binding model on the tiling has macroscopically degenerate states at. We find the existence of two extended states in one of the sublattices, in addition to confined states in the other. This property is distinct from that of the well-known two-dimensional quasiperiodic tilings such as the Penrose and Ammann-Beenker tilings. Applying the Lieb theorem to the Hubbard model on the tiling, we obtain the exact fraction of the confined states as, whereis the golden mean. This leads to a ferromagnetically ordered state in the weak coupling limit. Increasing the Coulomb interaction, the staggered magnetic moments are induced and gradually increase. Crossover behavior in the magnetically ordered states is also addressed in terms of perpendicular space analysis.