反铁磁相DyB $_2$ C $_2$中的三角偶极子和高阶镝多极子
Triakontadipole and high-order dysprosium multipoles in the antiferromagnetic phase of DyB$_2$C$_2$
摘要：
本文用共振软X射线布拉格衍射方法研究了Dy M $_{4,5}$边缘的磁有序相和轨道有序相DyB $_2$ C $_2$中的Dy多极子。该分析结合了原子内的磁性和四极相互作用之间的3d核心和4f价壳层。此外，我们介绍的形式主义的干扰的磁性和磁性振荡器。这允许确定秩1（偶极）到6（六角四极）的高阶多极矩。Dy 4f多极矩的强度估计为四极矩的7%至78%。
英文摘要：
Resonant soft x-ray Bragg diffraction at the Dy M$_{4,5}$ edges has been used to study Dy multipoles in the combined magnetic and orbitally ordered phase of DyB$_2$C$_2$. The analysis incorporates both the intra-atomic magnetic and quadrupolar interactions between the 3d core and 4f valence shells. Additionally, we introduce to the formalism the interference of magnetic and nonmagnetic oscillators. This allows a determination of the higher order multipole moments of rank 1 (dipole) to 6 (hexacontatetrapole). The strength of the Dy 4f multipole moments have been estimated at being between 7 and 78 % of the quadrupolar moment.
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