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Non-Hermitian Weyl semimetals:Non-Hermitian skin effect and non-Bloch bulk-boundary correspondence
作者姓名:杨孝森  曹阳  翟云佳
作者单位:Department of physics, Jiangsu University, Zhenjiang 212013, China
基金项目:the National Natural Science Foundation of China(Grants No.11504143).
摘    要:We investigate novel features of three-dimensional non-Hermitian Weyl semimetals,paying special attention to the 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 topological edge modes are determined by the non-Bloch Chern number of the bulk bands.Moreover,these topological edge modes can manifest as the unidirectional edge motion,and their signatures are consistent with the non-Bloch bulk-boundary correspondence.Our work establishes the non-Bloch bulk-boundary correspondence for non-Hermitian topological semimetals.

关 键 词:non-Hermitian  skin  effect  Weyl  semimental  bulk-boundary  correspondence
收稿时间:2021-08-23

Non-Hermitian Weyl semimetals: Non-Hermitian skin effect and non-Bloch bulk-boundary correspondence
Xiaosen Yang,Yang Cao,Yunjia Zhai.Non-Hermitian Weyl semimetals:Non-Hermitian skin effect and non-Bloch bulk-boundary correspondence[J].Chinese Physics B,2022,31(1):10308-010308.
Authors:Xiaosen Yang  Yang Cao  Yunjia Zhai
Affiliation:Department of physics, Jiangsu University, Zhenjiang 212013, China
Abstract:We investigate novel features of three-dimensional non-Hermitian Weyl semimetals, paying special attention to the 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 topological edge modes are determined by the non-Bloch Chern number of the bulk bands. Moreover, these topological edge modes can manifest as the unidirectional edge motion, and their signatures are consistent with the non-Bloch bulk-boundary correspondence. Our work establishes the non-Bloch bulk-boundary correspondence for non-Hermitian topological semimetals.
Keywords:non-Hermitian skin effect  Weyl semimental  bulk-boundary correspondence  
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