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The Gr\"uneisen ratio ($\Gamma$), i.e.\,the ratio of the linear thermal expansivity to the specific heat at constant pressure, quantifies the degree of anharmonicity of the potential governing the physical properties of a system. While…

Complete expressions of the thermal-expansion coefficient $\alpha$ and the Gr\"{u}neisen parameter $\Gamma$ are derived on the basis of the self-consistent renormalization (SCR) theory. By considering zero-point as well as thermal spin…

Strongly Correlated Electrons · Physics 2019-10-25 Shinji Watanabe , Kazumasa Miyake

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…

Statistical Mechanics · Physics 2024-09-18 Samuel M. Soares , Lucas Squillante , Henrique S. Lima , Constantino Tsallis , Mariano de Souza

We consider the behavior of the Gr\"{u}neisen parameter, the ratio between thermal expansion and specific heat, at pressure-tuned infinite-randomness quantum-critical points and in the associated quantum Griffiths phases. We find that the…

Strongly Correlated Electrons · Physics 2009-07-16 Thomas Vojta

We use the recently-proposed \emph{compressible cell} Ising-like model [Phys. Rev. Lett. \textbf{120}, 120603 (2018)] to estimate the ratio between thermal expansivity and specific heat (the Gr\"uneisen parameter $\Gamma$) in supercooled…

Statistical Mechanics · Physics 2019-09-06 Gabriel Gomes , H. Eugene Stanley , Mariano de Souza

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…

Strongly Correlated Electrons · Physics 2025-09-23 Xuan Zhou , Enze Lv , Wei Li , Yang Qi

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…

Strongly Correlated Electrons · Physics 2018-06-20 Jianda Wu , Lijun Zhu , Qimiao Si

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…

Strongly Correlated Electrons · Physics 2021-06-08 Charlotte Beneke , Matthias Vojta

The behavior of the specific heat $c_p$, effective mass $M^*$, and the thermal expansion coefficient $\alpha$ of a Fermi system located near the fermion condensation quantum phase transition (FCQPT) is considered. We observe the first type…

Strongly Correlated Electrons · Physics 2015-06-24 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

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…

Strongly Correlated Electrons · Physics 2019-12-05 Long Zhang

The thermal expansion coefficient $\alpha$ and the Gr\"{u}neisen parameter $\Gamma$ near the magnetic quantum critical point (QCP) are derived on the basis of the self-consistent renormalization (SCR) theory of spin fluctuation. From the…

Strongly Correlated Electrons · Physics 2019-10-24 Shinji Watanabe , Kazumasa Miyake

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…

Strongly Correlated Electrons · Physics 2016-10-07 Philipp Gegenwart

We consider the Grueneisen parameter and the magnetocaloric effect near a pressure and magnetic field controlled quantum critical point, respectively. Generically, the Grueneisen parameter (and the thermal expansion) displays a…

Strongly Correlated Electrons · Physics 2009-11-11 Markus Garst , Achim Rosch

Using the Bethe ansatz solution, we analytically study expansionary, magnetic and interacting Gr\"uneisen parameters (GPs) for one-dimensional (1D) Lieb-Liniger and Yang-Gaudin models. These different GPs elegantly quantify the dependences…

Quantum Gases · Physics 2020-08-10 Li Peng , Yicong Yu , Xi-Wen Guan

In solid state physics, the Gr\"{u}neisen parameter (GP), originally introduced in the study of the effect of changing the volume of a crystal lattice on its vibrational frequency, has been widely used to investigate the characteristic…

Quantum Gases · Physics 2020-10-21 Yi-Cong Yu , Shizhong Zhang , Xi-Wen Guan

We investigate the finite-size scaling of the entanglement gap in the one dimensional long-range quantum spherical model (QSM). We focus on the weak long-range QSM, for which the thermodynamic limit is well-defined. This model exhibits a…

Statistical Mechanics · Physics 2023-05-30 Sascha Wald , Raul Arias , Vincenzo Alba

We investigate the behavior of the Schmidt gap, the von Neumann entanglement entropy, and the non-stabiliserness in proximity to the classical phase transition of the one-dimensional long-range transverse-field Ising model (LRTFIM).…

Strongly Correlated Electrons · Physics 2026-03-24 Meghadeepa Adhikary , Nishan Ranabhat , Mario Collura

This paper tests how effectively the bound states of strongly interacting gauge theories are amenable to an emergent description as a thermal ensemble. This description can be derived from a conjectured minimum free energy principle, with…

Nuclear Theory · Physics 2023-04-05 Pouya Asadi , Varun Vaidya

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…

Strongly Correlated Electrons · Physics 2023-01-10 Long Zhang , Chengxiang Ding

The thermalization of quark gluon plasma created in relativistic heavy-ion collisions is a crucial theoretical question in understanding the onset of hydrodynamics, and in a broad sense, a key step to the exploration of thermalization in…

High Energy Physics - Phenomenology · Physics 2024-12-03 Shile Chen , Li Yan , Shuzhe Shi
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