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In a recent Letter, Zhu et al. [L. Zhu et al., Phys. Rev. Lett. 91, 066404 (2003)], obtained the divergence of the Gruneisen ratio close to a quantum critical point (QCP). We show that, in the case the effective dimension associated with…

强关联电子 · 物理学 2007-05-23 Mucio A. Continentino

Studies of the Gr\"uneisen ratio, i.e., the ratio between thermal expansion and specific heat, have become a powerful tool in the context of quantum criticality, since it was shown theoretically that the Gr\"uneisen ratio displays…

强关联电子 · 物理学 2021-06-08 Charlotte Beneke , Matthias Vojta

The Gr\"uneisen ratio, defined as $\Gamma_g \equiv (1/T) (\partial T/\partial g)_S$, serves as a highly sensitive probe for detecting quantum critical points (QCPs) driven by an external feild $g$ and for characterizing the magnetocaloric…

强关联电子 · 物理学 2025-09-23 Xuan Zhou , Enze Lv , Wei Li , Yang Qi

At a generic quantum critical point, the thermal expansion $\alpha$ is more singular than the specific heat $c_p$. Consequently, the "Gr\"uneisen ratio'', $\GE=\alpha/c_p$, diverges. When scaling applies, $\GE \sim T^{-1/(\nu z)}$ at the…

强关联电子 · 物理学 2009-11-07 Lijun Zhu , Markus Garst , Achim Rosch , Qimiao Si

We present low-temperature volume thermal expansion, $\beta$, and specific heat, $C$, measurements on high-quality single crystals of CeNi2Ge2 and YbRh2(Si$_{0.95}$Ge$_{0.05}$)$_2$ which are located very near to quantum critical points. For…

Self-duality is an algebraic structure of certain critical theories, which is not encoded in the scaling dimensions and critical exponents. In this work, a universal thermodynamic signature of self-dual quantum critical points (QCPs) is…

强关联电子 · 物理学 2019-12-05 Long Zhang

The Gr\"uneisen 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…

强关联电子 · 物理学 2016-10-07 Philipp Gegenwart

The nondivergence of the generalized Gr\"uneisen ratio (GR) at a quantum critical point (QCP) has been proposed to be a universal thermodynamic signature of self-duality. In this work, we study how the Kramers-Wannier-type self-duality…

强关联电子 · 物理学 2023-01-10 Long Zhang , Chengxiang Ding

We consider the scaling behavior of thermodynamic quantities in the one-dimensional transverse-field Ising model near its quantum critical point (QCP). Our study has been motivated by the question about the thermodynamical signatures of…

强关联电子 · 物理学 2018-06-20 Jianda Wu , Lijun Zhu , Qimiao Si

We analyse several thermodynamic properties of the two-dimensional Kondo necklace using finite-temperature stochastic series expansion. In agreement with previous zero-temperature findings the model is shown to exhibit a quantum critical…

强关联电子 · 物理学 2016-08-31 Wolfram Brenig

We present a series of arguments showing that the Seebeck coefficient can be used as a decisive experiment to characterize the nature of the quantum critical point (QCP) in heavy fermion compounds. Being reactive almost exclusively to the…

强关联电子 · 物理学 2015-05-18 Ki-Seok Kim , C. Pepin

An appropriate description of the state of matter that appears as a second order phase transition is tuned toward zero temperature, {\it viz.} quantum-critical point (QCP), poses fundamental and still not fully answered questions.…

强关联电子 · 物理学 2018-02-19 Yongkang Luo , Xin Lu , A. P. Dioguardi , P. F. S. Rosa , E. D. Bauer , Qimiao Si , J. D. Thompson

The mechanism of not diverging Gr\"{u}neisen parameter in the quantum critical heavy-fermion quasicrystal (QC) Yb$_{15}$Al$_{34}$Au$_{51}$ is analyzed. We construct the formalism for calculating the specific heat $C_V(T)$, the…

强关联电子 · 物理学 2019-11-22 Shinji Watanabe , Kazumasa Miyake

The heavy fermion system CeCu$_{6-x}$Ag$_x$ is studied at its antiferromagnetic quantum critical point, $x_c=0.2$, by low temperature ($T\geq 50$ mK) specific heat, $C(T)$, and volume thermal expansion, $\beta(T)$, measurements. Whereas…

强关联电子 · 物理学 2009-11-10 R. Kuechler , P. Gegenwart , K. Heuser , E. -W. Scheidt , G. R. Stewart , F. Steglich

We use the recently developed critical quasiparticle theory to derive the scaling behavior associated with a quantum critical point (QCP) in a correlated metal. This is applied to the magnetic-field induced QCP observed in YbRh$_2$Si$_2$…

强关联电子 · 物理学 2012-01-04 Elihu Abrahams , Peter Woelfle

According to Boltzmann-Gibbs (BG) statistical mechanics, the thermodynamic response, such as the isothermal susceptibility, at critical points (CPs) presents a divergent-like behavior. An appropriate parameter to probe both classical and…

We comparatively study three of the most useful quantum information tools to detect quantum critical points (QCPs) when only finite temperature data are available. We investigate quantitatively how the quantum discord, the quantum…

量子物理 · 物理学 2024-06-17 G. A. P. Ribeiro , Gustavo Rigolin

The Gr\"uneisen ratio $\Gamma$, i.e., the singular part of the ratio of thermal expansion to the specific heat, has been broadly employed to explore both finite-$T$ and quantum critical points (QCPs). For a genuine quantum phase transition…

The Anderson impurity model with a density of states $\rho(\varepsilon) \propto |\varepsilon|^r$ containing a power-law pseudogap centered on the Fermi energy ($\varepsilon = 0$) features for $0<r<1$ a Kondo-destruction quantum critical…

强关联电子 · 物理学 2015-01-16 Tathagata Chowdhury , Kevin Ingersent

Quantum fluctuations can give rise to a singular quantum critical point (QCP) in the ground state, whose influence extends to finite temperatures, forming a quantum critical regime (QCR). Recently, it has been shown that in the quantum…

强关联电子 · 物理学 2026-03-31 Haoshun Chen , Enze Lv , Ning Xi , Fei Ye , Wei Li
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