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arXiv 2012.10361cond-mat.str-elcond-mat.mtrl-scicond-mat.othercond-mat.stat-mech
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磁性金属有机框架中Trillium晶格的几何挫挫

Geometric frustration on the trillium lattice in a magnetic metal-organic framework

Johnathan M. Bulled, Joseph A. M. Paddison, Andrew Wildes, Elsa Lhotel, Simon J. Cassidy, Breogan Pato-Doldan, L. Claudia Gomez-Aguirre, Paul J. Saines, Andrew L. Goodwin

摘要:

在致密的金属有机骨架Na[Mn(HCOO)$_3$ ]中,Mn $^{2+}$离子($S=\frac{5}{2}$)占据“延龄草”超kagome网的节点。我们表明,这种材料表现出各种行为特征的几何挫折:Néel过渡被抑制远低于特征磁相互作用强度;短程磁秩序远高于Néel温度持续存在;和磁化率表现出伪平台在$\frac{1}{3}$ -饱和磁化。我们证明了一个简单的最近邻海森堡反铁磁体模型定量地解释了每个观测结果,因此Na[Mn(HCOO)$_3$ ]是该模型在延龄草网络上的第一个实验实现。我们开发了这个延龄草模型和二维Shastry-Sutherland晶格之间的映射,并演示了如何将经典自旋液体制度内的几何挫折与低场下的强磁热响应联系起来。

英文摘要:

In the dense metal-organic framework Na[Mn(HCOO)$_3$], Mn$^{2+}$ ions ($S=\frac{5}{2}$) occupy the nodes of a `trillium' hyperkagome net. We show that this material exhibits a variety of behaviour characteristic of geometric frustration: the Néel transition is suppressed well below the characteristic magnetic interaction strength; short-range magnetic order persists far above the Néel temperature; and the magnetic susceptibility exhibits a pseudo-plateau at $\frac{1}{3}$-saturation magnetisation. We demonstrate that a simple nearest-neighbour Heisenberg antiferromagnet model accounts quantitatively for each observation, and hence Na[Mn(HCOO)$_3$] is the first experimental realisation of this model on the trillium net. We develop a mapping between this trillium model and that on the two-dimensional Shastry-Sutherland lattice, and demonstrate how both link geometric frustration within the classical spin liquid regime to a strong magnetocaloric response at low fields.

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