标题： 通用螺旋边缘态的自旋结构 显示英文标题

标题： Spin texture of generic helical edge states

摘要： 我们研究了一种通用螺旋液体的自旋结构，即具有破坏轴向自旋对称性的二维拓扑绝缘体的边缘模态。 通过考虑拓扑绝缘体的蜂窝状和正方晶格实现，我们表明在所有情况下，动量依赖的自旋量子化轴旋转的通用行为得以实现。 在这里，我们还为具有连续旋转对称性的圆盘几何结构建立了这一机制。 最后，我们证明了自旋量子化轴的旋转在任意几何结构下仍然保持完整，即在没有任何连续对称性的情况下。 我们还计算了这种旋转对模型和材料参数的依赖关系。 最后，我们提出了一种光谱测量方法，应该可以直接揭示螺旋边缘态的自旋量子化轴的旋转。 显示英文摘要

摘要： We study the spin texture of a generic helical liquid, the edge modes of a two-dimensional topological insulator with broken axial spin-symmetry. By considering honeycomb and square lattice realizations of topological insulators, we show that in all cases the generic behavior of a momentum-dependent rotation of the spin quantization axis is realized. Here we establish this mechanism also for disk geometries with continuous rotational symmetry. Finally, we demonstrate that the rotation of spin-quantization axis remains intact for arbitrary geometries, i.e. in the absence of any continuous symmetry. We also calculate the dependence of this rotation on the model and material parameters. Finally we propose a spectroscopy measurement which should directly reveal the rotation of the spin-quantization axis of the helical edge states.