AI 中文总结
研究强耦合无序非厄米链中无序与非厄米效应的相互作用，通过调节链间耦合非对称性实现本征态局域化性质的连续转变，发现线隙拓扑下仍存在稳健的非厄米皮肤效应。
AI 中文摘要
无序与非厄米效应的相互作用引发了多种有趣的局域化现象。无序倾向于通过安德森局域化使本征态局域化，而非厄米非互易性则通过驱动本征态向系统边界移动，促进皮肤模的形成，从而产生非厄米皮肤效应（NHSE）。在本研究中，我们探究了这些相互竞争机制在一个两 leg 梯子结构中的相互作用，该结构由一条Hatano-Nelson链与一条厄米链通过非对称链间隧穿耦合而成，且两条链均存在强无序。我们表明，调节链间耦合的非对称性会引发本征态性质的连续转变，从皮肤局域化到安德森局域化，随后又回到皮肤局域化。值得注意的是，即使能谱呈现出线隙拓扑结构，非厄米皮肤效应仍会重新出现，这表明稳健的皮肤局域化可以在传统点隙区域之外持续存在。
英文摘要
The interplay between disorder and non-Hermitian effects gives rise to a variety of intriguing localization phenomena. While disorder tends to localize the eigenstates through Anderson localization, non-Hermitian non-reciprocity promotes the formation of skin modes by driving the eigenstates toward the system boundaries giving rise to non-Hermitian skin effect (NHSE). In this work, we investigate the interplay between these competing mechanisms in a two-leg ladder consisting of a Hatano-Nelson chain coupled to a Hermitian chain via asymmetric inter-chain hopping, with strong disorder present in both chains. We show that tuning the asymmetry of the inter-chain coupling induces successive transitions in the nature of the eigenstates, from skin localization to Anderson localization and subsequently back to skin localization. Remarkably, the non-Hermitian skin effect re-emerges even though the energy spectrum exhibits a line-gap topology, demonstrating that robust skin localization can persist beyond the conventional point-gap regime.
Comments8 pages, 8 figures. Suggestions/Comments are welcome
