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arXiv · 2603.21320

Universally Diverging Gr\"uneisen Ratio of Holographic Quantum Criticality

Jun-Kun Zhao·Enze Lv·Wei Li·Li Li
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Abstract

Quantum criticality is a hallmark of strongly correlated electron systems, as seen in heavy-fermion materials and high-temperature superconductors. Holographic duality provides a powerful framework to investigate these systems by translating them into weakly coupled classical gravity living in one higher dimension. Here, we harness this approach to study a field-induced quantum critical point with dynamical exponent $z=3$ in Einstein-Maxwell-Chern-Simons theory. Our analysis of its thermodynamic properties reveals a new universality class. Notably, we identify a diverging Gr\"uneisen ratio with universal scaling $\sim T^{-2/3}$, a behavior that closely mirrors recent experiments on the heavy-fermion material CeRh$_6$Ge$_4$. These findings advance our understanding of metallic quantum criticality and highlight the potential of holographic duality as a tool for studying correlated quantum matters.

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Jun-Kun Zhao, Enze Lv, Wei Li, Li Li. 2026-03-22. Universally Diverging Gr\"uneisen Ratio of Holographic Quantum Criticality. https://arxiv.org/abs/2603.21320

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