论文标题
非铁体系统的多体拓扑
Many-body topology of non-Hermitian systems
论文作者
论文摘要
非热性产生了独特的拓扑阶段，这些阶段在Hermitian系统中没有对应物。这种固有的非热拓扑阶段甚至在一个维度上也出现，而在一维遗传系统中没有拓扑阶段出现。尽管最近引起了极大的兴趣，但内在的非拓扑阶段主要是在频段理论描述的非互动系统中进行了研究。目前尚不清楚它们是否在存在多体相互作用的情况下生存还是减少。在这里，我们证明，即使在存在多体相互作用的情况下，一方面的内在非热拓扑阶段也能生存。我们通过u（1）量规场（磁通量）来表达复合物值多体谱的绕组的多体拓扑不变。作为说明性的例子，我们研究了相互作用的Hatano-Nelson模型，并找到了由多体相互作用引起的独特拓扑阶段和皮肤效应。
Non-Hermiticity gives rise to unique topological phases that have no counterparts in Hermitian systems. Such intrinsic non-Hermitian topological phases appear even in one dimension while no topological phases appear in one-dimensional Hermitian systems. Despite the recent considerable interest, the intrinsic non-Hermitian topological phases have been mainly investigated in noninteracting systems described by band theory. It has been unclear whether they survive or reduce in the presence of many-body interactions. Here, we demonstrate that the intrinsic non-Hermitian topological phases in one dimension survive even in the presence of many-body interactions. We formulate a many-body topological invariant by the winding of the complex-valued many-body spectrum in terms of a U (1) gauge field (magnetic flux). As an illustrative example, we investigate the interacting Hatano-Nelson model and find a unique topological phase and skin effect induced by many-body interactions.
