论文标题
从头算K.P自旋摩托锁锁定理论：应用于拓扑表面状态
Ab initio k.p theory of spin-momentum locking: Application to topological surface states
论文作者
论文摘要
基于从头算相对论$ {\ Mathbf K} \ CDOT {\ Mathbf P} $理论，我们为三维拓扑绝缘子的表面状态提供了有效的两波段模型，直至第七阶，直至$ \ Mathbf {k} $。它提供了表面旋转结构的全面描述，其特征是动量和自旋之间的非正交性。我们表明，非正交性的振荡具有$ \ mathbf {k} $，$π/3 $周期性可以看作是由于有效的六倍对称的自旋磁场，并带有单次旋转和$ \ mathbf {k k k的五重和隔载量。由于经典的Rashba场的主要作用，仍然存在单一的螺旋自旋结构，但与动量和旋转之间的正交锁定相距不合时间。
Based on ab initio relativistic ${\mathbf k}\cdot{\mathbf p}$ theory, we derive an effective two-band model for surface states of three-dimensional topological insulators up to seventh order in $\mathbf{k}$. It provides a comprehensive description of the surface spin structure characterized by a non-orthogonality between momentum and spin. We show that the oscillation of the non-orthogonality with the polar angle of $\mathbf{k}$ with a $π/3$ periodicity can be seen as due to effective six-fold symmetric spin-orbit magnetic fields with a quintuple and septuple winding of the field vectors per single rotation of $\mathbf{k}$. Owing to the dominant effect of the classical Rashba field, there remains a single-winding helical spin structure but with a periodic few-degree deviation from the orthogonal locking between momentum and spin.
