论文标题

石墨烯与Rashba自旋轨道相互作用并耦合到磁层:电子状态位于域壁

Graphene with Rashba spin-orbit interaction and coupling to a magnetic layer: Electron states localized at the domain wall

论文作者

Inglot, M., Dugaev, V. K., Dyrdał, A., Barnaś, J.

论文摘要

从理论上研究了与Rashba自旋轨道相互作用并耦合到磁性叠加仪的石墨烯胶囊中的磁性域壁的电子状态。结果表明,每个狄拉克点的能量缝隙中出现了两个沿域壁传播的边缘模式的两个一维带,并且与不同的dirac点k和k'相关的模式是相同的。描述与距离壁距离距离的相应波形衰减的系数通常包含真实和虚构的术语。并讨论了局部自旋密度以及以波数$ k_y $为特征的边缘状态预期的总自旋结果。石墨烯上单个磁性域的Chern号表明该系统位于量子异常霍尔相,边缘有两个手性模式。反过来,在域壁上定位的模式的数量取决于墙壁两侧的Chern数量的差异。这些数字分别等于2和-2,因此在域壁上定位四个模式。

Electron states localized at a magnetic domain wall in a graphene caplayer with Rashba spin-orbit interaction and coupled to a magnetic overlayer are studied theoretically. It is shown that two one-dimensional bands of edge modes propagating along the domain wall emerge in the energy gap for each Dirac point, and the modes associated with different Dirac points K and K' are the same. The coefficients describing decay of the corresponding wavefunctions with distance from the domain wall contain generally real and imaginary terms. Numerical results on the local spin density and on the total spin expected in the edge states characterized by the wavenumber $k_y$ are presented and discussed. The Chern number for a single magnetic domain on graphene indicates that the system is in the quantum anomalous Hall phase, with two chiral modes at the edges. In turn, the number of modes localized at the domain wall is determined by the difference in Chern numbers on both sides of the wall. These numbers are equal to 2 and -2, respectively, so there are four modes localized at the domain wall.

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