Ba（TiO）Cu PDMATHAAB（PO PDMATHAAB）PDMATHAAB with Cu PDMATHAAB O $_{12}$方形冲天炉中磁四极级的磁介电检测
Magnetodielectric detection of magnetic quadrupole order in Ba(TiO)Cu$_4$(PO$_4$)$_4$ with Cu$_4$O$_{12}$ square cupolas
摘要：
在类似涡旋的自旋排列中，多重自旋可以结合成出现的多极矩。这种多极矩打破了空间反转和时间反转对称性，因此可以表现出线性磁电（ME）活动。三种类型的多极矩是已知的：环形，双极矩和四极矩。然而，到目前为止，这些多极矩的ME活动仅在实验上建立了环矩。在这里，我们提出了一个磁性方形冲天簇，其中四个角共享的正方形协调的金属配体片段形成一个非共面的屈曲结构，作为一个有前途的结构单元，携带ME活性多极矩。我们证实了这一想法，通过观察明确的磁介电信号与反铁性ME-活性磁四极杆在实际材料Ba（TiO）Cu $_4$（PO $_4$）$_4$。本研究结果为探索和设计基于涡旋自旋排列的新型ME活性材料提供了有益的指导。
英文摘要：
In vortex-like spin arrangements, multiple spins can combine into emergent multipole moments. Such multipole moments have broken space-inversion and time-reversal symmetries, and can therefore exhibit linear magnetoelectric (ME) activity. Three types of such multipole moments are known: toroidal, monopole, and quadrupole moments. So far, however, the ME-activity of these multipole moments has only been established experimentally for the toroidal moment. Here, we propose a magnetic square cupola cluster, in which four corner-sharing square-coordinated metal-ligand fragments form a noncoplanar buckled structure, as a promising structural unit that carries an ME-active multipole moment. We substantiate this idea by observing clear magnetodielectric signals associated with an antiferroic ME-active magnetic quadrupole order in the real material Ba(TiO)Cu$_4$(PO$_4$)$_4$. The present result serves as a useful guide for exploring and designing new ME-active materials based on vortex-like spin arrangements.
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