1+1 维非厄米对称性保护拓扑序分类及相变的理论研究

近年来，非厄米系统中的拓扑相是一个研究热点。在本论文中，我们对一维非
厄米相互作用系统中的拓扑相进行了分类。我们首先研究了非厄米 Su-SchriefferHeeger 模型中的多体贝利相位。多体贝利相位可以在准厄米 (能谱均为实数的非厄
米系统) 相互作用系统中被严格定义。我们接着证明了准厄米系统中拓扑相的分类
和与之对应的厄米系统是相同的。最后，我们构造了一般性的非厄米相互作用系
统的不动点配分函数。我们发现这些配分函数与厄米系统的配分函数仍有一个一
一对应。由此我们可以给出结论：一维非厄米相互作用系统中拓扑相的分类和厄
米系统中拓扑相的分类是相同的。
 

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