论文标题

非蓝术带理论中的电子极化

Electronic polarization in non-Bloch band theory

论文作者

Masuda, Shohei, Nakamura, Masaaki

论文摘要

Hermitian拓扑材料的特征是拓扑数和边缘模式之间的非平凡关系,即散装的对应关系。在非热门系统中,常规对应关系分解。取而代之的是,在非热的su-schrieffer-Heeger模型中,非散装式的对应关系,即非Bloch绕组数与非铁皮皮肤效应之间的关系,由S. Yao和Z. Wang提出。我们将非蓝光极化作为拓扑数量引入,以检测非铁皮皮肤效应。此外,我们还讨论了使用螺旋边界条件的非Bloch极化在二维系统中的非Bloch散装对应关系。

Hermitian topological materials are characterized by the nontrivial relation between topological numbers and edge modes, i.e. the bulk-boundary correspondence. In non-Hermitian systems, the conventional correspondence breaks down. Instead, in the non-Hermitian Su-Schrieffer-Heeger model, the non-Bloch bulk-boundary correspondence, which is the relation between the non-Bloch winding number and the non-Hermitian skin effect, is proposed by S. Yao and Z. Wang. We introduce the non-Bloch polarization as a topological quantity to detect the non-Hermitian skin effect. Moreover, we also discuss the non-Bloch bulk-boundary correspondence in two-dimensional systems using the non-Bloch polarization with spiral boundary conditions.

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