Hybrid skin-topological effect (HSTE) in non-Hermitian systems exhibits both the skin effect and topological protection, offering a novel mechanism for localization of topological edge states (TESs) in electrons, circuits, and photons. However, it remains unclear whether the HSTE can be realized in quasicrystals, and the unique structure of quasicrystals with multi-site cells may provide novel localization phenomena for TESs induced by the HSTE. We propose an eight-site cell in two-dimensional quasicrystals and realize the HSTE with eight-site nonreciprocal intracell hoppings. Furthermore, we can arbitrarily adjust the eigenfield distributions of the TESs and discover domain walls associated with effective dissipation and their correlation with localization. We present a new scheme to precisely adjust the energy distribution in non-Hermitian quasicrystals with arbitrary polygonal outer boundaries.

中文翻译：

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八位元诱导的混合皮肤拓扑效应及拓扑边缘态定位的任意调整

非厄米系统中的混合趋肤拓扑效应（HSTE）同时表现出趋肤效应和拓扑保护，为电子、电路和光子中的拓扑边缘态（TES）定位提供了一种新颖的机制。然而，目前尚不清楚HSTE是否可以在准晶中实现，并且具有多位点单元的准晶的独特结构可能为HSTE诱导的TES提供新的定位现象。我们提出了二维准晶体中的八位元胞，并通过八位元非互易胞内跳变实现了 HSTE。此外，我们可以任意调整 TES 的本征场分布，并发现与有效耗散相关的畴壁及其与局域化的相关性。我们提出了一种新方案来精确调整具有任意多边形外边界的非厄米准晶体的能量分布。