论文标题
广义LIEB定理非交互非属性$ n $ - 局部紧密结合晶格
Generalized Lieb's theorem for noninteracting non-Hermitian $n$-partite tight-binding lattices
论文作者
论文摘要
冬宫的两分模型的特征是手性对称性的存在和Lieb定理，该定理从其两个sublattices之间的位点的不平衡中得出了该模型的零能平面频段的数量。在这里，我们介绍了一类非热门模型，并以单向和周期性的方式连接了任意数量的sublattices，并表明这些模型的零能量平面频段的数量可以从Lieb定理的广义版本中找到，以涉及每个sublattice and sublattice and sublattice and sublattice and sublattice and sublattice和sublattice and sublattice and sublattice and sublattice and sublattice。此外，这些模型还显示出在某些时钟或偏见系统中发现的类型的广义性手性对称性。用简单的玩具模型说明了主要结果，并讨论了此处介绍的不同平台中的可能实现。
Hermitian bipartite models are characterized by the presence of chiral symmetry and by Lieb's theorem, which derives the number of zero-energy flat bands of the model from the imbalance of sites between its two sublattices. Here, we introduce a class of non-Hermitian models with an arbitrary number of sublattices connected in a unidirectional and cyclical way and show that the number of zero-energy flat bands of these models can be found from a generalized version of Lieb's theorem, in what regards its application to noninteracting tight-binding models, involving the imbalance between each sublattice and the sublattice of lowest dimension. Furthermore, these models are also shown to obey a generalized chiral symmetry, of the type found in the context of certain clock or parafermionic systems. The main results are illustrated with a simple toy model, and possible realizations in different platforms of the models introduced here are discussed.
