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We analyze the key origin of quantum valence criticality in the heavy electron metal $\beta$-YbAlB$_4$ evidenced in the sister compound $\alpha$-YbAl$_{0.986}$Fe$_{0.014}$B$_4$. By constructing a realistic canonical model for…

Strongly Correlated Electrons · Physics 2020-06-03 Shinji Watanabe

The elastic property of quantum critical quasicrystal (QC) Yb$_{15}$Al$_{34}$Au$_{51}$ is analyzed theoretically on the basis of the approximant crystal (AC) Yb$_{14}$Al$_{35}$Au$_{51}$. By constructing the realistic effective model in the…

Strongly Correlated Electrons · Physics 2021-06-28 Shinji Watanabe

The electric resistivity $\rho(T)$ under hydrostatic pressure up to 8 GPa was measured above 2 K using a high-quality single crystal of the Yb-based heavy fermion system $\beta$-YbAlB$_4$. We found pressure-induced magnetic ordering above…

Strongly Correlated Electrons · Physics 2015-06-23 Takahiro Tomita , Kentaro Kuga , Yoshiya Uwatoko , Satoru Nakatsuji

Quantum criticality arises when a macroscopic phase of matter undergoes a continuous transformation at zero temperature. While the collective fluctuations at quantum-critical points are being increasingly recognized as playing an important…

Quantum criticality describes the collective fluctuations of matter undergoing a second-order phase transition at zero temperature. Heavy fermion metals have in recent years emerged as prototypical systems to study quantum critical points.…

Strongly Correlated Electrons · Physics 2009-05-24 Philipp Gegenwart , Qimiao Si , Frank Steglich

At quantum critical points (QCP) \cite{Pfeuty:1971,Young:1975,Hertz:1976,Chakravarty:1989,Millis:1993,Chubukov:1 994,Coleman:2005} there are quantum fluctuations on all length scales, from microscopic to macroscopic lengths, which,…

Strongly Correlated Electrons · Physics 2007-05-23 Angela Kopp , Sudip Chakravarty

Fermi liquid theory, the standard theory of metals, has been challenged by a number of observations of anomalous metallic behavior found in the vicinity of a quantum phase transition. The breakdown of the Fermi liquid is accomplished by…

$\beta$-YbAlB$_4$ is the first Yb-based heavy fermion superconductor with $T_{\rm c} = 80$ mK. We measured low temperature magnetization of high-purity single crystals down to $T=$ 25 mK. The measurements have revealed a considerable amount…

Strongly Correlated Electrons · Physics 2015-10-28 Y. Matsumoto , K. Kuga , Y. Karaki , T. Tomita , S. Nakatsuji

We report on precise low-temperature specific-heat measurements, C(T), of YbRh2Si2 in the vicinity of the antiferromagnetic phase transition on a single crystal of superior quality (RRR 150). We observe a very sharp peak at T_N=72mK with…

Strongly Correlated Electrons · Physics 2009-05-14 C. Krellner , S. Hartmann , A. Pikul , N. Oeschler , J. G. Donath , C. Geibel , F. Steglich , J. Wosnitza

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$_2$…

Strongly Correlated Electrons · Physics 2012-01-04 Elihu Abrahams , Peter Woelfle

The magnetic entropy of YbRh_2(Si_{0.95}Ge_{0.05})_2 is derived from low-temperature ($T\geq 18$ mK) specific heat measurements. Upon field-tuning the system to its antiferromagnetic quantum critical point unique temperature over magnetic…

Strongly Correlated Electrons · Physics 2009-11-10 P. Gegenwart , Y. Tokiwa , K. Neumaier , C. Geibel , F. Steglich

Rare-earth element containing aperiodic quasicrystals and their related periodic approximant crystals can exhibit non-trivial physical properties at low temperatures. Here, we investigate the 1/1 and 2/1 approximant crystal phases of the…

Strongly Correlated Electrons · Physics 2025-03-24 A. Khansili , Y. -C. Huang , U. Häussermann , C. Pay Gomez , A. Rydh

Intermetallic compounds containing $f$-electron elements have been prototypical materials for investigating strong electron correlations and quantum criticality (QC). Their heavy fermion ground state evoked by the magnetic $f$-electrons is…

Quantum electronic matter has long been understood in terms of two limiting behaviors of electrons: one of delocalized metallic states, and the other of localized magnetic states. Understanding the strange metallic behavior which develops…

Several observed transport and thermodynamic properties of the heavy-fermion compound YbRh2Si2 in the quantum critical regime are unusual and suggest that the fermionic quasiparticles are critical, characterized by a scale-dependent…

Strongly Correlated Electrons · Physics 2015-10-28 Peter Woelfle , Elihu Abrahams

Specific heat, $C_B$, of a TbAl$_3$(BO$_3$)$_4$ crystal was studied for 50 mK $<T<$ 300 K, with emphasis on $T<1$ K, where a phase transition was found at $T_c =0.68$ K. Nuclear, non-phonon ($C_m$), and lattice contributions to $C_B$ were…

We present here a rare example of electronuclear quantum criticality in a metal. The compound YbCu4.6Au0.4 is located at an unconventional quantum critical point (QCP). In this material the relevant Kondo and RKKY exchange interactions are…

Strongly Correlated Electrons · Physics 2023-08-30 J. Banda , D. Hafner , J. F. Landaeta , E. Hassinger , K. Mitsumoto , M. Giovannini , J. G. Sereni , C. Geibel , M. Brando

YbCu4Au is a unique material exhibiting multiple quantum fluctuations simultaneously. In this study, we investigated the field-induced criticality in YbCu4Au, based on comprehensive micro and macro measurements, including powder X-ray…

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

Electronic structures of the quantum critical superconductor beta-YbAlB4 and its polymorph alpha-YbAlB4 are investigated by using bulk-sensitive hard x-ray photoemission spectroscopy. From the Yb 3d core level spectra, the values of the Yb…