论文标题
非铁质拓扑阶段的磁通量响应
Magnetic Flux Response of Non-Hermitian Topological Phases
论文作者
论文摘要
我们得出了具有内在点间隙拓扑的非铁质拓扑阶段对局部磁通插入的响应。在两个空间维度中，我们确定了通量皮肤效应的必要条件，该效应将大量的隙内模式定位在通量核心处。在三个维度中，我们还建立了：磁通光谱跳跃的存在，其中磁通管插入仅在单个平行晶体动量下仅填充整个点间隙；伪内对称对称性的高阶皮肤效应，发生在通量管的末端。以及代表复杂能平面中频谱隔离的中间隙状态的通量major模式。我们将每个非热对称性类别与内在点间隙拓扑与其中一种或琐碎的通量响应之一相关联，并讨论可能的实验实现。
We derive the response of non-Hermitian topological phases with intrinsic point gap topology to localized magnetic flux insertions. In two spatial dimensions, we identify the necessary and sufficient conditions for a flux skin effect that localizes an extensive number of in-gap modes at a flux core. In three dimensions, we furthermore establish the existence of: a flux spectral jump, where flux tube insertion fills up the entire point gap only at a single parallel crystal momentum; a higher-order flux skin effect, which occurs at the ends of flux tubes in presence of pseudo-inversion symmetry; and a flux Majorana mode that represents a spectrally isolated mid-gap state in the complex energy plane. We uniquely associate each non-Hermitian symmetry class with intrinsic point gap topology with one of these cases or a trivial flux response, and discuss possible experimental realizations.
