论文标题
多局部非甲状化系统中开放式散装的解剖结构
Anatomy of open-boundary bulk in multiband non-Hermitian systems
论文作者
论文摘要
尽管在开放式条件下（OBC）阐述了非铁族系统的散装能带（OBC），但与非富特能带相关的至关重要问题仍然无法解决。在本文中，我们解剖了OBC下一维多局部非高级系统的庞大特性。我们提出了能量带分支（EBB），以解决非官方能带的多相关函数，这些功能被散开或无间隙，对应于复杂能量平面中的断开或连接的潮汐，在复杂的能量平面中，分支点和分支切割起来起着至关重要的作用。我们阐明了非铁皮皮肤效应的确切意义，该效应说明了深层体积中退潮特征态（批量特征）的渐近行为，并补偿了先前的非蓝杆带理论。我们还基于此类潮汐和普遍的布里鲁因区的开放式绿色功能的一般表达，可用于研究非炎症动力学进化。
Although the non-Bloch band theory is a milestone in elaborating bulk energy bands of non-Hermitian systems under the open-boundary condition (OBC), vital issues related to multivalued functions of non-Hermitian energy bands remain unsolved. In this paper, we anatomize the bulk properties of one-dimensional multiband non-Hermitian systems under OBC. We put forward the energy-band branches (EBBs) to settle the multivalued functions of non-Hermitian energy bands, which become gapped or gapless corresponding to disconnected or connected EBBs in the complex energy plane, where the branch points and branch cuts play a crucial role. We clarify the precise significance of the non-Hermitian skin effect, which illustrates the asymptotic behavior of EBB eigenstates (bulk eigenstates) in the deep bulk and compensates previous non-Bloch band theory. We also obtain a general expression of open-boundary Green's functions based on such EBBs and generalized Brillouin zones, useful for studies on non-Hermitian dynamical evolution.
