We report magnetization, heat capacity, ${}^7\mathrm{Li}$ nuclear magnetic resonance (NMR), and muon-spin rotation ($\mu \mathrm{SR}$) measurements on the honeycomb $4d^5$ spin liquid candidate ${\mathrm{Li}}_2{\mathrm{RhO}}_3$. The magnetization in small magnetic fields provides evidence of the partial spin-freezing of a small fraction of ${\mathrm{Rh}}^{4+}$ moments at 6 K, whereas the Curie-Weiss behavior above 100 K suggests a pseudo-spin-1/2 paramagnet with a moment of about $2.2{\mu }_B$. The magnetic specific heat ($C_{\mathrm{m}}$) exhibits no field dependence and demonstrates the absence of long-range magnetic order down to 0.35 K. $C_{\mathrm{m}}/T$ passes through a broad maximum at about 10 K and $C_{\mathrm{m}}\propto T^2$ at low temperatures. Measurements of the spin-lattice relaxation rate ($1/T_1$) reveal a gapless slowing-down of spin fluctuations upon cooling with $1/T_1\sim T^{2.2}$. The results from NMR and $\mu \mathrm{SR}$ are consistent with a scenario in which a minority of ${\mathrm{Rh}}^{4+}$ moments are in a short-range correlated frozen state and coexist with a majority of moments in a liquid-like state that continue to fluctuate at low temperatures.

中文翻译：

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蜂窝状铑铑酸盐Li2RhO3的局部磁性和自旋动力学

我们报告磁化强度，热容量， ${}^7里$ 核磁共振（NMR）和μ自旋旋转（$\mu \mathrm{SR}$）在蜂窝上的测量 $4d^5$ 自旋液体候选 ${里}_{\mathrm{2个}}{铑}_3$。小磁场中的磁化强度提供了小部分磁场的部分自旋冻结的证据${铑}^{4+}$ 力矩在6 K时，而居里-魏斯行为在100 K以上时表明伪自旋1/2顺磁体的力矩约为 $2.2{\mu }_{乙}$。磁比热（$C_{\mathrm{米}}$）没有磁场依赖性，并且证明了低至0.35 K的远距离磁阶不存在。 $C_{\mathrm{米}}/Ť$ 经过约10 K的最大最大值， $C_{\mathrm{米}}\propto {Ť}^{\mathrm{2个}}$在低温下。自旋晶格弛豫率的测量（$\mathrm{1个}/{Ť}_{\mathrm{1个}}$）揭示了冷却后自旋波动的无间隙减慢 $\mathrm{1个}/{Ť}_{\mathrm{1个}}〜{Ť}^{2.2}$。NMR和$\mu \mathrm{SR}$ 与以下情况一致： ${铑}^{4+}$ 矩处于短程相关冻结状态，并与大多数呈液态的矩并存，并在低温下持续波动。