论文标题
三维绝缘子中的自旋分辨拓扑和部分轴心角
Spin-Resolved Topology and Partial Axion Angles in Three-Dimensional Insulators
论文作者
论文摘要
受对称保护的拓扑结晶绝缘子（TCI）的主要特征是其无间隙边界状态。但是，在时间逆转中 - （$ \ MATHCAL {t} $ - ）不变（Helical）3D TCI $ \ Unicode {X2014} $称为高阶TCIS（HOTIS）$ \ UNICODE {X2014} $边界签名可以作为样品依赖性网络的示例依赖性网络。我们在这里介绍了嵌套的自旋分辨的Wilson环和层构造，以表征跨3D绝缘子的内在散装拓扑特性。我们发现，Helical Hotis实现了三个自旋分辨阶段之一，其响应具有不同的响应，这些响应对大量旋转式轨道纹理的较大变形具有稳定性：3D量子旋转霍尔绝缘子（QSHIS），“ Spin-Weyl”半量值，“半量值”，$ \ \ \ \ \ \ \ Mathcal {t} $ - D-D-DAXIRATIAID exion antiatiatiation traxiatiatiatiation artiant artiant artiant artiant artiant artiant and artiant and artiant axtiant axtiant 3 3 3 3 3 3 3 3个3 3 3 3 3 3 3 3个3 3个3 3个33自旋 - 磁性大量反应和半量化的2D Ti表面状态，源自部分平等异常。使用Ab-Initio计算，我们证明了$β$ -MOTE $ _2 $实现了自旋状态，并且$α$ bibr具有3D QSHI和T-DAXI机制。
Symmetry-protected topological crystalline insulators (TCIs) have primarily been characterized by their gapless boundary states. However, in time-reversal- ($\mathcal{T}$-) invariant (helical) 3D TCI$\unicode{x2014}$termed higher-order TCIs (HOTIs)$\unicode{x2014}$the boundary signatures can manifest as a sample-dependent network of 1D hinge states. We here introduce nested spin-resolved Wilson loops and layer constructions as tools to characterize the intrinsic bulk topological properties of spinful 3D insulators. We discover that helical HOTIs realize one of three spin-resolved phases with distinct responses that are quantitatively robust to large deformations of the bulk spin-orbital texture: 3D quantum spin Hall insulators (QSHIs), "spin-Weyl" semimetals, and $\mathcal{T}$-doubled axion insulator (T-DAXI) states with nontrivial partial axion angles indicative of a 3D spin-magnetoelectric bulk response and half-quantized 2D TI surface states originating from a partial parity anomaly. Using ab-initio calculations, we demonstrate that $β$-MoTe$_2$ realizes a spin-Weyl state and that $α$-BiBr hosts both 3D QSHI and T-DAXI regimes.
