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Condensed Matter > Strongly Correlated Electrons
Title: Geometric frustration on the trillium lattice in a magnetic metal-organic framework
(Submitted on 18 Dec 2020 (v1), last revised 13 Dec 2022 (this version, v3))
Abstract: 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 N\'eel transition is suppressed well below the characteristic magnetic interaction strength; short-range magnetic order persists far above the N\'eel 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.
Submission history
From: Johnathan Bulled [view email][v1] Fri, 18 Dec 2020 17:06:39 GMT (784kb,D)
[v2] Thu, 17 Mar 2022 15:58:34 GMT (813kb,D)
[v3] Tue, 13 Dec 2022 17:24:09 GMT (814kb,D)
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