论文标题
装饰的缺陷结构
Decorated Defect Construction of Gapless-SPT States
论文作者
论文摘要
对称受保护的拓扑(SPT)阶段是超出Landau范式的最简单,但非平底的,间隙的系统之一。在这项工作中,我们研究了无间隙系统SPT概念的扩展,即无间隙对称性受保护的拓扑状态。我们使用装饰的缺陷构建构建了几种简单的无间隙SPT模型,这些模型允许对非平凡的拓扑特征进行分析理解,包括在扭曲边界条件下的对称性电荷和在开放边界条件下的边界(Quasi) - 基础。我们还评论了对称扰动下无质量-SPT模型的稳定性,并在没有直接分析理解时应用小规模的精确对角线化。
Symmetry protected topological (SPT) phases are one of the simplest, yet nontrivial, gapped systems that go beyond the Landau paradigm. In this work, we study an extension of the notion of SPT for gapless systems, namely, gapless symmetry protected topological states. We construct several simple gapless-SPT models using the decorated defect construction, which allow analytical understanding of non-trivial topological features including the symmetry charge under twisted boundary conditions, and boundary (quasi)-degeneracy under open boundary conditions. We also comment on the stability of the gapless-SPT models under symmetric perturbations, and apply small-scale exact diagonalization when direct analytic understanding is not available.