Grüneisen parameter studies on heavy fermion quantum criticality

Abstract

The Grüneisen parameter, experimentally determined from the ratio of thermal expansion to specific heat, quantifies the pressure dependence of characteristic energy scales of matter. It is highly enhanced for Kondo lattice systems, whose properties strongly dependent on the pressure sensitive antiferromagnetic exchange interaction between f- and conduction electrons. In this review, we focus on the divergence of the Grüneisen parameter and its magnetic analogue, the adiabatic magnetocaloric effect, for heavy-fermion metals near quantum critical points. We compare experimental results with current theoretical models, including the effect of strong geometrical frustration. We also discuss the possibility to use materials with divergent magnetic Grüneisen parameter for adiabatic demagnetization cooling to very low temperatures.

arXiv commentReview for Special Issue on Strongly Correlated Electron Systems in Reports on Progress in Physics, 16 pages, 10 figures

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• Uniaxial stress tuning of geometrical frustration in a Kondo lattice
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• The role of magnetoelastic coupling and magnetic anisotropy in MnTiO${}_3$
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• Signatures of a Quantum Critical Endpoint in the Kitaev Candidate Na${}_2$Co${}_2$TeO${}_6$
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• Uniaxial Pressure Effects, Phase Diagram, and Tricritical Point in the Centrosymmetric Skyrmion Lattice Magnet GdRu${}_2$Si${}_2$
• Non-Divergent Grüneisen Parameter in Quantum Critical Quasicrystal Yb${}_{15}$Al${}_{34}$Au${}_{51}$: Reflection of Robustness of Quantum Criticality under Pressure
• Quantum critical behaviour and Lifshitz transition in intermediate valence $\alpha$-YbAlB${}_4$
• Grüneisen Parameter and Thermal Expansion by the Self-Consistent Renormalization Theory of Spin Fluctuations
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