Abstract The mechanism of not diverging Gruneisen parameter in the quantum critical heavy-fermion quasicrystal (QC) Yb15Al34Au51 is analyzed. We construct the formalism for calculating the specific heat CV(T), the thermal-expansion coefficient α(T), and the Gruneisen parameter Γ(T) near the quantum critical point of the Yb valence transition. By applying the framework to the QC, we calculate CV(T), α(T), and Γ(T), which explains the measurements. Not diverging Γ(T) is attributed to the robustness of the quantum criticality in the QC under pressure. The difference in Γ(T) at the lowest temperature between the QC and approximant crystal is shown to reflect the difference in the volume derivative of characteristic energy scales of the critical Yb-valence fluctuation and the Kondo temperature. Possible implications of our theory to future experiments are also discussed.

中文翻译：

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量子临界准晶 Yb15Al34Au51 中的非发散 Grüneisen 参数：反映压力下量子临界性的稳健性

摘要 分析了量子临界重费米子准晶(QC) Yb15Al34Au51中Gruneisen参数不发散的机理。我们构建了计算 Yb 价态跃迁量子临界点附近的比热 CV(T)、热膨胀系数 α(T) 和 Gruneisen 参数 Γ(T) 的形式。通过将框架应用于 QC，我们计算了 CV(T)、α(T) 和 Γ(T)，这解释了测量结果。不发散 Γ(T) 归因于压力下 QC 中量子临界性的稳健性。QC 和近似晶体在最低温度下的 Γ(T) 差异反映了临界 Yb 价波动和 Kondo 温度的特征能量尺度的体积导数的差异。