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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

Using Hartree-Fock-Bogoliubov (HFB) approach we obtained analytical expressions for thermodynamic quantities of the system of triplons in spin gapped quantum magnets such as magnetization, heat capacity and the magnetic Gr{\"u}neisen…

Quantum Gases · Physics 2018-11-14 Abdulla Rakhimov , Zabardast Narzikulov , Andreas Schilling

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

The origin of the strange metallic behavior observed in a wide range of quantum materials is an open challenge to condensed matter physics. Historically, strange metals were uniquely associated with antiferromagnetic quantum critical points…

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…

Strongly Correlated Electrons · Physics 2009-11-07 Lijun Zhu , Markus Garst , Achim Rosch , Qimiao Si

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…

Strongly Correlated Electrons · Physics 2019-11-22 Shinji Watanabe , Kazumasa Miyake

Bicritical points, at which two distinct symmetry-broken phases become simultaneously unstable, are typical for spin-flop metamagnetism. Interestingly, the heavy-fermion compound YbAgGe also possesses such a bicritical point (BCP) with a…

Strongly Correlated Electrons · Physics 2013-09-11 Y. Tokiwa , M. Garst , P. Gegenwart , S. L. Bud'ko , P. C. Canfield

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…

Strongly Correlated Electrons · Physics 2026-03-24 Jun-Kun Zhao , Enze Lv , Wei Li , Li Li

The heavy fermion compound YbRh$_2$Si$_2$ is studied by low-temperature magnetization $M(T)$ and specific-heat $C(T)$ measurements at magnetic fields close to the quantum critical point ($H_c=0.06$ T, $H\perp c$). Upon approaching the…

Strongly Correlated Electrons · Physics 2009-02-16 Y. Tokiwa , T. Radu , P. Gegenwart , C. Geibel , F. Steglich

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…

Strongly Correlated Electrons · Physics 2007-05-23 Mucio A. Continentino

Discontinuous quantum phase transitions besides their general interest are clearly relevant to the study of heavy fermions and magnetic transition metal compounds. Recent results show that in many systems belonging to these classes of…

Strongly Correlated Electrons · Physics 2007-05-23 Andre S. Ferreira , Mucio A. Continentino

The point at absolute zero where matter becomes unstable to new forms of order is called a quantum critical point (QCP). The quantum fluctuations between order and disorder that develop at this point induce profound transformations in the…

Strongly Correlated Electrons · Physics 2009-11-10 J. Custers , P. Gegenwart , H. Wilhelm , K. Neumaier , Y. Tokiwa , O. Trovarelli , C. Geibel , F. Steglich , C. Pepin , P. Coleman

Geometrical frustration describes situations where interactions are incompatible with the lattice geometry and stabilizes exotic phases such as spin liquids. Whether geometrical frustration of magnetic interactions in metals can induce…

Strongly Correlated Electrons · Physics 2015-04-28 Y. Tokiwa , C. Stingl , M. S. Kim , T. Takabatake , P. Gegenwart

A quantum critical point (QCP) is a singularity in the phase diagram arising due to quantum mechanical fluctuations. The exotic properties of some of the most enigmatic physical systems, including unconventional metals and superconductors,…

Strongly Correlated Electrons · Physics 2014-05-13 P. Merchant , B. Normand , K. W. Krämer , M. Boehm , D. F. McMorrow , Ch. Rüegg

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

The Gr\"{u}neisen ratio $\Gamma$ and its magnetic analog, the magnetic Gr\"{u}neisen ratio $\Gamma_H$, are powerful probes to study the nature of quantum phase transitions. Here, we propose a Gr\"{u}neisen parameter, the rotational…

Strongly Correlated Electrons · Physics 2025-01-13 Shohei Yuasa , Yohei Kono , Yuta Ozaki , Minoru Yamashita , Yasuyuki Shimura , Toshiro Takabatake , Shunichiro Kittaka

The magnetocaloric effect or "magnetic Gr\"uneisen ratio" $\Gamma_H=T^{-1}(dT/dH)_S$ quantifies the cooling or heating of a material when an applied magnetic field is changed under adiabatic conditions. Recently this property has attracted…

Strongly Correlated Electrons · Physics 2013-06-25 Yoshi Tokiwa , Philipp Gegenwart

The magnetic analog of the Gr\"{u}neisen parameter, i.e., the magnetocaloric effect, is a valuable tool for studying field-tuned quantum phase transitions. We determine the magnetic Gr\"{u}neisen parameter of the one-dimensional random…

Strongly Correlated Electrons · Physics 2010-03-24 Thomas Vojta , J. A. Hoyos

The zero-temperature limit of a continuous phase transition is marked by a quantum critical point, which can generate exotic physics that extends to elevated temperatures. Magnetic quantum criticality is now well known, and has been…

Materials Science · Physics 2019-02-21 Awadhesh Narayan , Andres Cano , Alexander V. Balatsky , Nicola A. Spaldin

Physicists are engaged in vigorous debate on the nature of the quantum critical points (QCP) governing the low-temperature properties of heavy-fermion (HF) metals. Recent experimental observations of the much-studied compound YbRh2Si2 in…

Strongly Correlated Electrons · Physics 2012-12-03 V. R. Shaginyan , A. Z. Msezane , K. G. Popov , J. W. Clark , M. V. Zverev , V. A. Khodel
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