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arXiv:2411.06162 · Physical Review Materials

Proximate Tomonaga-Luttinger liquid in a spin- 1 / 2 ferromagnetic XXZ chain compound

Boqiang Li, Xun Chen, Yuqian Zhao, Zhaohua Ma, Zongtang Wan, Yuesheng Li

Published Jul 23, 2024• 2 citations
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Abstract

The spin-$1/2$ ferromagnetic XXZ chain is a prototypical many-body quantum model, exactly solvable via the integrable Bethe ansatz method, hosting a Tomonaga-Luttinger spin liquid. However, its clear experimental realizations remain absent. Here, we present a thorough investigation of the magnetism of the structurally disorder-free compound $\mathrm{LuCu}{(\mathrm{OH})}_{3}{\mathrm{SO}}_{4}$. By conducting magnetization and electron-spin-resonance measurements on the single-crystal sample, we establish that the title compound approximates the spin-$1/2$ ferromagnetic XXZ chain model with a nearest-neighbor exchange strength of ${J}_{1}\ensuremath{\sim}65\phantom{\rule{0.16em}{0ex}}\mathrm{K}$ and an easy-plane anisotropy of $\ensuremath{\sim}0.994$. The specific heat demonstrates a distinctive power-law behavior at low magnetic fields (with energy scales $\ensuremath{\le}0.02{J}_{1}$) and low temperatures $(T\ensuremath{\le}0.03{J}_{1})$. This behavior is consistent with the expectations of the ideal spin-$1/2$ ferromagnetic XXZ chain model, thereby supporting the formation of a gapless Tomonaga-Luttinger spin liquid in $\mathrm{LuCu}{(\mathrm{OH})}_{3}{\mathrm{SO}}_{4}$.

DOI
10.1103/physrevmaterials.8.074410

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