Delocalization of higher-order topological states in higher-dimensional non-Hermitian quasicrystals,Physical Review B

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Delocalization of higher-order topological states in higher-dimensional non-Hermitian quasicrystals
Physical Review B ( IF 3.2 ) Pub Date : 2024-07-16 , DOI: 10.1103/physrevb.110.014106
Aoqian Shi ₁ , Yuchen Peng ₁ , Peng Peng ₁ , Jianzhi Chen ₁ , Jianjun Liu _{1,

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Affiliation

The combination of the non-Hermitian skin effect (NHSE) and topological effects plays a crucial role in both fundamental and applied physics. Here, we show the interplay between the NHSE and topological effects in two- and three-dimensional quasicrystals. Unlike the delocalization of higher-order topological states (HOTSs) in crystals, we find that in non-Hermitian quasicrystals, HOTSs delocalize along the boundaries rather than in the bulk regions. Through effective analysis of the quasicrystal boundaries, we establish a physical connection between the unique lattice arrangement of quasicrystals and the delocalization of HOTSs. Our results offer some perspectives for investigating intriguing physical phenomena emerging from the combination of higher-dimensional quasicrystals, the NHSE, and topological effects, as well as for broadening their applications.

中文翻译：

高维非厄米准晶中高阶拓扑态的离域

非厄米趋肤效应（NHSE）和拓扑效应的结合在基础物理学和应用物理学中都起着至关重要的作用。在这里，我们展示了二维和三维准晶体中 NHSE 和拓扑效应之间的相互作用。与晶体中高阶拓扑态（HOTS）的离域不同，我们发现在非厄米准晶体中，HOTS 沿着边界而不是在块体区域离域。通过对准晶边界的有效分析，我们在准晶独特的晶格排列与HOTS的离域之间建立了物理联系。我们的研究结果为研究高维准晶体、NHSE 和拓扑效应组合中出现的有趣物理现象以及拓宽其应用提供了一些视角。

更新日期：2024-07-16

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