We present an extension of the cell-construction method for the flat-band ferromagnetism. In a rather general setting, we construct Hubbard models with highly degenerate single-electron ground states and obtain a formal representation of these single-electron ground states. By our version of the cell-construction method, various types of flat-band Hubbard models, including the one on line graphs, can be designed and shown to have the unique ferromagnetic ground states when the electron number is equal to the degeneracy of the single-electron ground states.

中文翻译：

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平带铁磁性细胞构建方法的扩展

我们提出了平带铁磁性的细胞构建方法的扩展。在相当普遍的情况下，我们构建具有高度简并单电子基态的哈伯德模型，并获得这些单电子基态的正式表示。通过我们版本的细胞构建方法，可以设计各种类型的平带哈伯德模型，包括线图模型，当电子数等于单原子的简并度时，可以设计并显示出具有独特的铁磁基态。 -电子基态。