Universally Diverging Gr\"uneisen Ratio of Holographic Quantum Criticality

TL;DR

This paper uses holographic duality to analyze a quantum critical point, revealing a universal diverging Grüneisen ratio with a specific temperature scaling that matches experimental observations in heavy-fermion materials.

Contribution

It introduces a new universality class for quantum criticality using holographic methods and identifies a universal scaling of the Grüneisen ratio near the critical point.

Findings

Universal diverging Grüneisen ratio with T^{-2/3} scaling

Matches experimental data from CeRh6Ge4

Reveals a new universality class in quantum criticality

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.