论文标题
通过相关性减少一维非速度点间隙拓扑
Reduction of one-dimensional non-Hermitian point-gap topology by correlations
论文作者
论文摘要
尽管关于非炎热拓扑的广泛作品，但相关效应仍然是至关重要的问题。我们在此分析了与一维点间隙拓扑相关的非热系统相关的系统。 Specifically, our analysis elucidates that correlations result in reduction of the topological classification $\mathbb{Z}\times \mathbb{Z} \to \mathbb{Z}$ for systems of one synthetic dimension with charge $\mathrm{U(1)}$ symmetry and spin-parity symmetry.此外，我们分析了一个扩展的Hatano-Nelson链，该链表现出惊人的相关效果。相关性在非相互作用水平上破坏了皮肤效应。皮肤对相互作用的这种脆弱性与一个空间维度中的点间隙拓扑的降低一致。上述发现为相关系统的拓扑结构提供了新的启示，并开辟了有关非炎性拓扑物理学研究的新方向。
In spite of extensive works on the non-Hermitian topology, correlations effects remain crucial questions. We hereby analyze correlated non-Hermitian systems with special emphasis on the one-dimensional point-gap topology. Specifically, our analysis elucidates that correlations result in reduction of the topological classification $\mathbb{Z}\times \mathbb{Z} \to \mathbb{Z}$ for systems of one synthetic dimension with charge $\mathrm{U(1)}$ symmetry and spin-parity symmetry. Furthermore, we analyze an extended Hatano-Nelson chain which exhibits striking correlation effects; correlations destroy the skin effect at the non-interacting level. This fragility of the skin effect against interactions is consistent with the reduction of the point-gap topology in the one spatial dimension. The above discoveries shed new light on the topology of correlated systems and open up new directions of researches on non-Hermitian topological physics.
