Non-Divergent Grüneisen Parameter in Quantum Critical Quasicrystal Yb$_{15}$Al$_{34}$Au$_{51}$: Reflection of Robustness of Quantum Criticality under Pressure

Shinji Watanabe; Kazumasa Miyake

doi:10.1016/j.ssc.2019.113774

paper

Non-Divergent Grüneisen Parameter in Quantum Critical Quasicrystal Yb $_{15}$ Al $_{34}$ Au $_{51}$ : Reflection of Robustness of Quantum Criticality under Pressure

arXiv:1911.03142 · doi:10.1016/j.ssc.2019.113774

Abstract

The mechanism of not diverging Grüneisen parameter in the quantum critical heavy-fermion quasicrystal (QC) Yb $_{15}$ Al $_{34}$ Au $_{51}$ is analyzed. We construct the formalism for calculating the specific heat $C_{V} (T)$ , the thermal-expansion coefficient $α (T)$ , and the Grüneisen parameter $Γ (T)$ near the quantum critical point of the Yb valence transition. By applying the framework to the QC, we calculate $C_{V} (T)$ , $α (T)$ , 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.

arXiv comment13 pages, 5 figures

Non-Divergent Grüneisen Parameter in Quantum Critical Quasicrystal Yb $_{15}$ Al $_{34}$ Au $_{51}$ : Reflection of Robustness of Quantum Criticality under Pressure

Abstract

References in corpus (15)

Cited by in corpus (2)

Non-Divergent Grüneisen Parameter in Quantum Critical Quasicrystal Yb15​Al34​Au51​: Reflection of Robustness of Quantum Criticality under Pressure

Abstract

References in corpus (15)

Cited by in corpus (2)

Non-Divergent Grüneisen Parameter in Quantum Critical Quasicrystal Yb $_{15}$ Al $_{34}$ Au $_{51}$ : Reflection of Robustness of Quantum Criticality under Pressure