Topological Origin of Non-Hermitian Skin Effects
Topological Origin of Non-Hermitian Skin Effects
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DOI：
10.1103/physrevlett.124.086801
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发表时间：
2020-02-25
影响因子：
8.6
通讯作者：
Sato, Masatoshi
中科院分区：
文献类型：
--
作者：
Okuma, Nobuyuki;Kawabata, Kohei;Sato, Masatoshi
非厄米特系统的一个独特特征是趋肤效应，即对边界条件的极端敏感性。在这里，我们揭示了集肤效应起源于内在的非厄米拓扑。这种拓扑起源不仅解释了已知趋肤效应的普遍特征，而且还导致了新的趋肤效应类型--对称性保护趋肤效应。特别地，我们发现了受时间反演对称性保护的Z（2）趋肤效应。在拓扑分类的基础上，我们还讨论了任意维度上可能的其他趋肤效应。我们的工作为非厄米系统的体边界对应和趋肤效应提供了统一的认识。
A unique feature of non-Hermitian systems is the skin effect, which is the extreme sensitivity to the boundary conditions. Here, we reveal that the skin effect originates from intrinsic non-Hermitian topology. Such a topological origin not merely explains the universal feature of the known skin effect, but also leads to new types of the skin effects-symmetry-protected skin effects. In particular, we discover the Z(2) skin effect protected by time-reversal symmetry. On the basis of topological classification, we also discuss possible other skin effects in arbitrary dimensions. Our work provides a unified understanding about the bulk-boundary correspondence and the skin effects in non-Hermitian systems.