Non-Hermitian Weyl Semimetals: Non-Hermitian Skin Effect and non-Bloch Bulk-Boundary Correspondence
Non-Hermitian Weyl Semimetals: Non-Hermitian Skin Effect and non-Bloch Bulk-Boundary Correspondence
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DOI：
10.1088/1674-1056/ac3738
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发表时间：
2019-04
影响因子：
1.7
通讯作者：
Xiaosen Yang;Yang Cao;Yunjia Zhai
中科院分区：
文献类型：
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作者：
Xiaosen Yang;Yang Cao;Yunjia Zhai
我们研究了三维非厄米外尔半金属的新特征，特别注意其非常规的体边界对应。我们使用非Bloch Chern数作为工具，得到了拓扑相图，这也证实了我们的数值结果的能谱。结果表明，与厄米特系统形成鲜明对比的是，传统的（布洛赫）体边界对应在非厄米特拓扑半金属中被打破，这是由非厄米特趋肤效应引起的。我们建立了非厄米外尔半金属的非布洛赫体边界对应：费米弧边缘模由体能带的非布洛赫陈数决定。此外，这些费米弧边缘模式可以表现为单向的边缘运动，其签名是一致的非布洛赫体边界对应。我们的工作建立了非厄米拓扑半金属的非Bloch体边界对应。
We investigate novel features of three dimensional non-Hermitian Weyl semimetals, paying special attention to its unconventional bulk-boundary correspondence. We use the non-Bloch Chern numbers as the tool to obtain the topological phase diagram, which is also confirmed by the energy spectra from our numerical results. It is shown that, in sharp contrast to Hermitian systems, the conventional (Bloch) bulk-boundary correspondence breaks down in non-Hermitian topological semimetals, which is caused by the non-Hermitian skin effect. We establish the non-Bloch bulk-boundary correspondence for non-Hermitian Weyl semimetals: the Fermi-arc edge modes are determined by the non-Bloch Chern number of the bulk bands. Moreover, these Fermi-arc edge modes can manifest as the unidirectional edge motion, and their signatures are consistent with the non-Bloch bulk-boundary correspondence. Our work establish the non-Bloch bulk-boundary correspondence for non-Hermitian topological semimetals.