论文标题
非Bloch带的拓扑构造
Topological energy braiding of the non-Bloch bands
论文作者
论文摘要
作为非富米系统的独特特征，非富裕的皮肤效应将破坏开放边界系统中Bloch频段的拓扑能量编织。除了布洛克频段理论之外，我们通过引入一维的非富裕紧密结合模型来揭示非Bloch频段的能量编织。我们发现一类全新的通用拓扑非Bloch带，例如Hopf Link，通常由非铁皮皮肤效应产生。能量编织在没有差距闭合的情况下拓扑在拓扑上是可靠的。此外，基于广义的布里渊区提出了非Bloch拓扑不变性，以表征这些非Bloch带的拓扑结构。不同阶段之间的拓扑相变是在非特殊点接触的非蓝宝石带时发生的。我们希望我们的工作能够阐明非武器系统的非Bloch频段的拓扑能量编织。
The non-Hermitian skin effect, as a unique feature of non-Hermitian systems, will break the topological energy braiding of the Bloch bands in open boundary systems. Going beyond the Bloch band theory, we unveil the energy braiding of the non-Bloch bands by introducing a one-dimensional non-Hermitian tight-binding model. We find an entirely new generic class of topological non-Bloch bands such as Hopf link, which is generally generated by the non-Hermitian skin effect. The energy braiding is topologically robust against any perturbations without gap closing. Furthermore, non-Bloch topological invariants are proposed based on the generalized Brillouin zone to characterize the topology of these non-Bloch bands. The topological phase transition between the distinct phases occurs with the non-Bloch bands touching at exceptional points. We hope that our work can shed light on the topological energy braiding of the non-Bloch bands for non-Hermitian systems.
