论文标题
$β$ -Bismuthene的旋转电荷分离和量子旋转大厅效应
Spin-charge separation and quantum spin Hall effect of $β$-bismuthene
论文作者
论文摘要
现场理论论证表明，$ \ mathbb {z} $ - 与磁通管的量子自旋效应的分类可能会导致自旋和电荷自由度的分离以及旋转或kramers对的泵送。但是，对于现实，\ emph {ab intio}旋转式分离的\ emph {原理证明}尚未完成旋转轨耦合材料的带结构，缺乏自旋保存定律。在这项工作中，我们在$β$ -Bismuthene上使用磁通管进行思想实验，以证明自旋荷兰分离，并为三个可以通过调整填充分数来访问的三种绝缘状态的自旋泵送。通过对动量空间拓扑和真实空间响应的结合分析，我们确定了拓扑非平凡的频段的重要作用，支持甚至整数绕组数字，这是从基于对称的指标中推断出来的。我们的工作为基于精确的散装不变和通用拓扑响应的二维量子旋转材料的预测设定了新的标准。
Field theory arguments suggest the possibility of $\mathbb{Z}$-classification of quantum spin Hall effect with magnetic flux tubes, that cause separation of spin and charge degrees of freedom, and pumping of spin or Kramers pair. However, the \emph{proof of principle} demonstration of spin-charge separation is yet to be accomplished for realistic, \emph{ab initio} band structures of spin-orbit-coupled materials, lacking spin-conservation law. In this work, we perform thought experiments with magnetic flux tubes on $β$-bismuthene to demonstrate spin-charge separation, and quantized pumping of spin for three insulating states that can be accessed by tuning filling fractions. With a combined analysis of momentum-space topology and real-space response, we identify important role of topologically non-trivial bands, supporting even integer winding numbers, which cannot be inferred from symmetry-based indicators. Our work sets a new standard for prediction of two-dimensional, quantum spin-Hall materials, based on precise bulk invariant and universal topological response.
