Characterization of the Spin-1/2 Linear-Chain Ferromagnet CuAs${}_2$O${}_4$

Abstract

The magnetic and lattice properties of the $S$=1/2 quantum-spin-chain ferromagnet, CuAs${}_2$O${}_4$, mineral name trippkeite, were investigated. The crystal structure of CuAs${}_2$O${}_4$ is characterized by the presence of corrugated CuO${}_2$ ribbon chains. Measurements of the magnetic susceptibility, heat capacity, electron paramagnetic resonance and Raman spectroscopy were performed. Our experiments conclusively show that a ferromagnetic transition occurs at $\sim$7.4 K. $\text{Ab initio}$ DFT calculations reveal dominant ferromagnetic nearest-neighbor and weaker antiferromagnetic next- nearest-neighbor spin exchange interactions along the ribbon chains. The ratio of $J_{\mathrm{nn}}$/$J_{\mathrm{nnn}}$ is near -4, placing CuAs${}_2$O${}_4$ in close proximity to a quantum critical point in the $J_{\mathrm{nn}}$ - $J_{\mathrm{nnn}}$ phase diagram. TMRG simulations used to analyze the magnetic susceptibility confirm this ratio. Single-crystal magnetization measurements indicate that a magnetic anisotropy forces the Cu${}^{2+}$ spins to lie in an easy plane perpendicular to the $c$-axis. An analysis of the field and temperature dependent magnetization by modified Arrott plots reveals a 3d-XY critical behavior. Lattice perturbations induced by quasi-hydrostatic pressure and temperature were mapped via magnetization and Raman spectroscopy.

12 pages, 16 figures

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• The origin of up-up-down-down magnetic order in Cu${}_2$GeO${}_4$
• Frustrated magnetic planes with intricate interaction pathways in the mineral langite Cu${}_4$(OH)${}_6$SO${}_4\cdot 2$H${}_2$O
• Partial molecular orbitals in face-sharing 3$d$ manganese trimer: Comparative studies on Ba${}_4$TaMn${}_3$O${}_{12}$ and Ba${}_4$NbMn${}_3$O${}_{12}$
• Comment on `Oxygen vacancy-induced magnetic moment in edge-sharing CuO${}_2$ chains of Li${}_2$CuO${}_2$'
• Proximate Tomonaga-Luttinger liquid in a spin-1/2 ferromagnetic XXZ chain compound
• Pressure-tuned spin chains in brochantite, Cu${}_4$SO${}_4$(OH)${}_6$
• SrCu(OH)${}_3$Cl, an ideal isolated equilateral triangle spin $S$ = 1/2 model system