论文标题
涡旋旋转质地引起的铁矩矩
Ferroaxial moment induced by vortex spin texture
论文作者
论文摘要
理论上在磁有序中研究了表征时间交流轴向矢量数量的电轴载体数量的电力铁轴力矩的性质。我们澄清，涡旋自旋纹理会导致铁轴时矩的出现，具体取决于螺旋。通过引入多极描述，我们表明，当两种类型的奇数磁多物在涡旋旋转纹理下活跃时，就会出现铁轴的性质：一个是磁性单极，另一个是磁环形偶极子。我们介绍所有磁点基团在具有磁性单极和磁性环偶极子的磁性下具有铁轴矩。此外，我们专门考虑了四局部四方系统中的多轨模型，以证明涡旋自旋纹理引起的铁轴矩。我们表明，铁轴力矩在显微镜上以簇尺度和原子尺度的轴向矢量量的数量来表征：前者由局部电偶极子的涡流描述，后者由局部轨道和旋转角矩的外部产物表示。此外，我们发现具有不同平等的轨道之间的原子自旋轨道耦合和杂交是诱导铁轴时矩的关键要素。我们还将结果应用于具有拓扑不足的自旋质地的磁性天际缘，并讨论候选材料。
The nature of an electric ferro-axial moment characterizing a time-reversal-even axial-vector quantity is theoretically investigated under magnetic orderings. We clarify that a vortex spin texture results in the emergence of the ferro-axial moment depending on the helicity. By introducing a multipole description, we show that the ferro-axial nature appears when two types of odd-parity magnetic multipoles become active under the vortex spin texture: One is the magnetic monopole and the other is the magnetic toroidal dipole. We present all the magnetic point groups to possess the ferro-axial moment in the presence of the magnetic orderings with the magnetic monopole and magnetic toroidal dipole. Moreover, we specifically consider a multi-orbital model in a four-sublattice tetragonal system to demonstrate the ferro-axial moment induced by the vortex spin texture. We show that the ferro-axial moment is microscopically characterized by both the cluster-scale and atomic-scale axial-vector quantities: The former is described by the vortex of the local electric dipole and the latter is represented by the outer product of the local orbital and spin angular momenta. Moreover, we find that the atomic-spin orbit coupling and the hybridization between orbitals with different parity are key ingredients to induce the ferro-axial moment. We also apply the result to a magnetic skyrmion with a topologically-nontrivial spin texture and discuss candidate materials.
