Frustrated spin chain physics near the Majumdar-Ghosh point in szenicsite Cu${}_3$(MoO${}_4$)(OH)${}_4$

Abstract

In this joint experimental and theoretical work magnetic properties of the Cu${}^{2+}$ mineral szenicsite Cu${}_3$(MoO${}_4$)(OH)${}_4$ are investigated. This compound features isolated triple chains in its crystal structure, where the central chain involves an edge-sharing geometry of the CuO${}_4$ plaquettes, while the two side chains feature a corner-sharing zig-zag geometry. The magnetism of the side chains can be described in terms of antiferromagnetic dimers with a coupling larger than 200 K. The central chain was found to be a realization of the frustrated antiferromagnetic $J_1$-$J_2$ chain model with $J_1\simeq 68$ K and a sizable second-neighbor coupling $J_2$. The central and side chains are nearly decoupled owing to interchain frustration. Therefore, the low-temperature behavior of szenicsite should be entirely determined by the physics of the central frustrated $J_1$-$J_2$ chain. Our heat-capacity measurements reveal an accumulation of entropy at low temperatures and suggest a proximity of the system to the Majumdar-Ghosh point of the antiferromagnetic $J_1$-$J_2$ spin chain, $J_2/J_1=0.5$.

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• Coupled frustrated ferromagnetic and antiferromagnetic quantum spin chains in the quasi-one-dimensional mineral antlerite, Cu${}_3$SO${}_4$(OH)${}_4$
• Incommensurate and multiple-$\mathbf{q}$ magnetic misfit order in the frustrated quantum-spin-ladder material antlerite, Cu${}_3$SO${}_4$(OH)${}_4$
• Quasi-one-dimensional uniform spin-$\frac{1}{2}$ Heisenberg antiferromagnet KNaCuP${}_2$O${}_7$ probed by ${}^{31}$P and ${}^{23}$Na NMR
• Observation of a gapped phase in the one-dimensional $S=\frac{1}{2}$ Heisenberg antiferromagnetic chain Cu(Ampy)ClBr
• Pressure-tuned spin chains in brochantite, Cu${}_4$SO${}_4$(OH)${}_6$