论文标题
通过磁场增强二阶非铁皮皮肤效应
Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
论文作者
论文摘要
非铁皮皮肤效应是一种独特的现象,在该现象中,大量的本征状态位于非炎症系统的边界。最近的研究表明,磁场可显着抑制非铁皮皮肤效应。相比之下,我们证明了二阶皮肤效应(SOSE)是健壮的,甚至可以通过磁场增强。值得注意的是,SOSE也可以由琐碎的非热系统系统的磁场诱导,该系统在零场中没有任何皮肤效应。这些特性与在存在磁场的存在下复杂能谱中拓扑线间隙的持久性和出现密切相关。此外,我们表明磁场可以从杂化皮肤效应中驱动非热系统,其中一阶皮肤效应和共存的同存到纯sose。我们的结果描述了非铁皮皮肤效应的定性磁场行为。
The non-Hermitian skin effect is a unique phenomenon in which an extensive number of eigenstates are localized at the boundaries of a non-Hermitian system. Recent studies show that the non-Hermitian skin effect is significantly suppressed by magnetic fields. In contrast, we demonstrate that the second-order skin effect (SOSE) is robust and can even be enhanced by magnetic fields. Remarkably, SOSE can also be induced by magnetic fields from a trivial non-Hermitian system that does not experience any skin effect at zero field. These properties are intimately related to to the persistence and emergence of topological line gaps in the complex energy spectrum in presence of magnetic fields. Moreover, we show that a magnetic field can drive a non-Hermitian system from a hybrid skin effect, where the first-order skin effect and SOSE coexist, to pure SOSE. Our results describe a qualitatively new magnetic field behavior of the non-Hermitian skin effect.