论文标题
半金属体育结构的刺穿核拓扑不变
Punctured-Chern topological invariants for semi-metallic bandstructures
论文作者
论文摘要
基于拓扑绝缘体的方法是间隙谱带的拓扑分类，包括周围的半金属淋巴结缺陷。但是，多个带有间隙点的频段也可以具有非平凡的拓扑结构。我们构建了一个基于一般波函数的````刺穿切口''不变式以捕获这种拓扑。为了显示其一般适用性，我们分析了两个具有不同无间隙拓扑的系统：1）最近的二维易碎拓扑模型，以捕获各种带状横向的横向和2）具有三维模型，并具有三维型号，以表现出三维型号的固定型，以象征性降低象征。 \ emph {半智能者}控制着异常运输等物理观察值。
Topological insulator-based methods underpin the topological classification of gapped bands, including those surrounding semi-metallic nodal defects. However, multiple bands with gap-closing points can also possess non-trivial topology. We construct a general wavefunction-based ``punctured-Chern" invariant to capture such topology. To show its general applicability, we analyze two systems with disparate gapless topology: 1) a recent two-dimensional fragile topological model to capture the various band-topological transitions and 2) a three-dimensional model with a triple-point nodal defect to characterize its semi-metallic topology with \emph{half-integers} that govern physical observables such as anomalous transport. This invariant also gives the classification for Nexus triple-points ($\mathbb{Z}\times\mathbb{Z}$) with certain symmetry restrictions, which is re-confirmed by abstract algebra.
