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<p>The magnetic Grüneisen ratio, defined as <i>Γ</i><sub><i>g</i></sub> ≡ (1/<i>T</i>)(∂<i>T</i>/∂<i>g</i>)<sub><i>S</i></sub>, characterizes the magnetocaloric effect (MCE) driven by an external field <i>g</i> and serves as a highly sensitive probe for field-induced quantum critical points (QCPs). Near a QCP, <i>Γ</i><sub><i>g</i></sub> displays diverging behaviors described by a universal scaling function depending on the universality class. Here, we systematically investigate the universal scaling functions of Grüneisen ratio <i>Γ</i><sub><i>g</i></sub> in typical one-dimensional (1D) and two-dimensional (2D) quantum spin systems, including the transverse-field Ising model, XY model, <i>q</i>-state quantum Potts model (<i>q</i> = 3, 4), and the <i>J</i><sub>1</sub>-<i>J</i><sub>2</sub> columnar dimer model. Our approach employs the linearized tensor renormalization group (LTRG) method for infinite-size 1D systems and the stochastic series expansion quantum Monte Carlo (SSE QMC) simulations for 2D systems, enabling precise calculations of the <i>Γ</i><sub><i>g</i></sub> near QCPs. We extract universal scaling functions via data collapse analysis. This universal magnetocaloric framework offers a quantitative tool for analyzing measurements in quantum materials and for guiding the search for quantum critical cooling applications.</p>

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Universal scaling functions of the magnetic Grüneisen ratio near quantum critical points

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月25日

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  • Xuan Zhou,
  • Enze Lv,
  • Wei Li,
  • Yang Qi

摘要

The magnetic Grüneisen ratio, defined as Γg ≡ (1/T)(∂T/∂g)S, characterizes the magnetocaloric effect (MCE) driven by an external field g and serves as a highly sensitive probe for field-induced quantum critical points (QCPs). Near a QCP, Γg displays diverging behaviors described by a universal scaling function depending on the universality class. Here, we systematically investigate the universal scaling functions of Grüneisen ratio Γg in typical one-dimensional (1D) and two-dimensional (2D) quantum spin systems, including the transverse-field Ising model, XY model, q-state quantum Potts model (q = 3, 4), and the J1-J2 columnar dimer model. Our approach employs the linearized tensor renormalization group (LTRG) method for infinite-size 1D systems and the stochastic series expansion quantum Monte Carlo (SSE QMC) simulations for 2D systems, enabling precise calculations of the Γg near QCPs. We extract universal scaling functions via data collapse analysis. This universal magnetocaloric framework offers a quantitative tool for analyzing measurements in quantum materials and for guiding the search for quantum critical cooling applications.