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

IF 6.6 1区物理与天体物理 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

npj Quantum Materials Pub Date : 2026-06-25 DOI:10.1038/s41535-026-00904-5

Xuan Zhou, Enze Lv, Wei Li, Yang Qi

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Abstract

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.

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量子临界点附近磁粒尼森比的通用标度函数

磁颗粒尼森比，定义为Γg≡(1/T)(∂T/∂g)S，表征由外场g驱动的磁热效应（MCE），并作为场诱导量子临界点（QCPs）的高灵敏度探针。在QCP附近，Γg根据通用性类显示由通用性缩放函数描述的发散行为。本文系统地研究了典型的一维（1D）和二维（2D）量子自旋系统中gr neisen ratio Γg的通用标度函数，包括横向场Ising模型、XY模型、q态量子Potts模型（q = 3,4）和J1-J2柱状二聚体模型。我们的方法采用线性化张量重整化群（LTRG）方法用于无限大小的1D系统，并采用随机序列展开量子蒙特卡罗（SSE QMC）模拟用于2D系统，从而能够精确计算Γg附近的qcp。我们通过数据崩溃分析提取通用尺度函数。这种通用磁热框架为分析量子材料中的测量和指导寻找量子临界冷却应用提供了定量工具。

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来源期刊

npj Quantum Materials Materials Science-Electronic, Optical and Magnetic Materials

CiteScore

10.60

自引率

3.50%

发文量

107

审稿时长

6 weeks

期刊介绍： npj Quantum Materials is an open access journal that publishes works that significantly advance the understanding of quantum materials, including their fundamental properties, fabrication and applications.