The anomalous behavior of the frequency $f$ and specific heat ${C_p}$ data for the new layered trigonal ( $P\bar{3}1m$ ) form of manganese antimonite (MnSb ₂ O ₆ ) was analyzed by means of the power-law relations with the critical exponent $\alpha $ in the vicinity of the Néel temperature of ${T_{\rm{N}}}$ = 8.0 K. While the extracted values of $\alpha $ from both $f$ and ${C_p}$ below $T_{\rm{N}}$ (the same value of 0.06) match exactly the value 1/16 (= 0.06) predicted from the three-dimensional (3-D) Ising model, the extracted value of 0.65 from the ${C_p}$ data above $T_{\rm{N}}$ is much higher than the predicted value of 1/8 (= 0.13) from the 3-D Ising model. As an extension of this work, the temperature dependence of the muon-spin relaxation rate (damping constant) $\lambda $ of MnSb ₂ O ₆ was calculated from the pseudospin–phonon-coupled (PS) model and the energy fluctuation (EF) model below $T_{\rm{N}}$ . Our results are in good agreement with the data. In addition, the activation energy was calculated from the predicted values of $\lambda $ from both PS and EF models for MnSb ₂ O ₆ . Our results indicate an order–disorder-type transition at $T_{\rm{N}}$ = 8.0 K for MnSb ₂ O ₆ .

中文翻译：

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接近尼尔温度的锰锑矿的现象学研究

频率的异常行为 $f$ 和比热 ${C_p}$ 新分层三角形的数据 ( $P\bar{3}100 万美元 ) 锰锑矿 (MnSb ₂ O ₆ ) 的形态 通过与临界指数的幂律关系进行分析$\alpha $ 在 Néel 温度附近 ${T_{\rm{N}}}$ = 8.0 K. 而提取的值 $\alpha $ 从两者 $f$ 和 ${C_p}$ 以下 $T_{\rm{N}}$ （相同的值 0.06）与从三维（3-D）Ising 模型预测的值 1/16（= 0.06）完全匹配，从模型中提取的值 0.65 ${C_p}$ 以上数据 $T_{\rm{N}}$远高于 3-D Ising 模型的 1/8 (= 0.13) 预测值。作为这项工作的扩展，μ子自旋弛豫率（阻尼常数）的温度依赖性$\lambda $从下面的赝自旋-声子耦合 (PS) 模型和能量波动 (EF) 模型计算MnSb ₂ O _{6 的}$T_{\rm{N}}$ . 我们的结果与数据非常吻合。此外，活化能是根据预测值计算的$\lambda $来自 MnSb ₂ O _{6 的}PS 和 EF 模型 。我们的结果表明在$T_{\rm{N}}$ = 8.0 K MnSb ₂ O ₆ 。