装饰晶格中哈伯德模型局域本征态的折纸规则
Origami rules for the construction of localized eigenstates of the Hubbard model in decorated lattices
摘要：
本文提出了一种在修饰晶格中构造哈伯德模型的精确定域多体本征态的方法，包括$U=0$和$U\rightarrow\infty$ .这些状态是局部化的，涉及到空穴和粒子的运动。该方法的出发点是构造具有比整个晶格更高的对称性的格片或一组格片。使用一组简单的规则，在这样的元胞中的紧束缚定域态可以被分割，折叠和展开为新的元胞几何形状。这组规则对于在相同元胞的$U\rightarrow\infty$极限中为一个空穴构造局域态也是有效的，假设自旋配置是元胞中自旋集合的所有可能排列的均匀线性组合。
英文摘要：
We present a method of construction of exact localized many-body eigenstates of the Hubbard model in decorated lattices, both for $U=0$ and $U\rightarrow\infty$. These states are localized in what concerns both hole and particle movement. The starting point of the method is the construction of a plaquette or a set of plaquettes with a higher symmetry than that of the whole lattice. Using a simple set of rules, the tight-binding localized state in such a plaquette can be divided, folded and unfolded to new plaquette geometries. This set of rules is also valid for the construction of a localized state for one hole in the $U\rightarrow\infty$ limit of the same plaquette, assuming a spin configuration which is a uniform linear combination of all possible permutations of the set of spins in the plaquette.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
