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Fermi liquid theory works very well in most normal metals, but is found violated in many strongly correlated electron systems, such as cuprate and heavy-fermion superconductors. A widely accepted criterion is that, the Fermi liquid theory…

Strongly Correlated Electrons · Physics 2018-11-08 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

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…

We investigate the approach to the quantum critical point of a Pomeranchuk instability from the symmetric, disordered side of the phase diagram. In the low-temperature limit, a Fermi liquid description of the metal is possible and becomes…

Strongly Correlated Electrons · Physics 2015-06-25 P. Wölfle , A. Rosch

This article is aimed at a pedagogical introduction to the physics of quantum phase transitions that is unique to metallic systems. It has been recognized for some time that quantum criticality can result in a breakdown of Landau's Fermi…

Strongly Correlated Electrons · Physics 2007-05-23 Qimiao Si

We report on single crystal growth and physical properties of the quantum critical Kondo-lattice system YbNi$_4$(P$_{1-x}$As$_{x}$)$_2$ with $0\leq x\leq 1$ which hosts a ferromagnetic quantum critical point at $x \approx 0.1$. We performed…

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

Heavy electron metals on the verge of a quantum phase transition to magnetism show a number of unusual non-fermi liquid properties which are poorly understood. This article discusses in a general way various theoretical aspects of this…

Strongly Correlated Electrons · Physics 2009-11-11 T. Senthil

We present a new Kondo-lattice system, YbNi4P2, which is a clean heavy-fermion metal with a severely reduced ferromagnetic ordering temperature at T_C=0.17K, evidenced by distinct anomalies in susceptibility, specific-heat, and resistivity…

Strongly Correlated Electrons · Physics 2011-10-14 C Krellner , S Lausberg , A Steppke , M Brando , L Pedrero , H Pfau , S Tencé , H Rosner , F Steglich , C Geibel

A quantum critical behavior of the magnetic susceptibility was observed in a quasicrystal containing ytterbium. At the same time, a mixed-valence feature of Yb ions was reported, which appears to be incompatible with the magnetic…

Strongly Correlated Electrons · Physics 2016-06-29 Junya Otsuki , Hiroaki Kusunose

Magnetic fluctuations and electrons couple in intriguing ways in the vicinity of zero temperature phase transitions - quantum critical points - in conducting materials. Quantum criticality is implicated in non-Fermi liquid behavior of…

Strongly Correlated Electrons · Physics 2014-12-05 Lucile Savary , Eun-Gook Moon , Leon Balents

We study the influence of quantum fluctuations on the electron self energy in the normal state of iron-pnictide superconductors using a five orbital tight binding model with generalized Hubbard on-site interactions. Within a one-loop…

Strongly Correlated Electrons · Physics 2012-12-14 Wei-Cheng Lee , Philip W. Phillips

Metallic quantum critical phenomena are believed to play a key role in many strongly correlated materials, including high temperature superconductors. Theoretically, the problem of quantum criticality in the presence of a Fermi surface has…

Strongly Correlated Electrons · Physics 2019-05-03 Erez Berg , Samuel Lederer , Yoni Schattner , Simon Trebst

This review discusses instabilities of the Fermi-liquid state of conduction electrons in metals with particular emphasis on magnetic quantum critical points. Both the existing theoretical concepts and experimental data on selected materials…

Strongly Correlated Electrons · Physics 2007-08-28 Hilbert v. Löhneysen , Achim Rosch , Matthias Vojta , Peter Wölfle

Unconventional quantum critical phenomena observed in Yb-based periodic crystals such as YbRh$_2$Si$_2$ and $\beta$-YbAlB$_4$ have been one of the central issues in strongly correlated electron systems. The common criticality has been…

Strongly Correlated Electrons · Physics 2017-03-14 Shinji Watanabe , Kazumasa Miyake

Quantum criticality, a manifestation of emergent scale invariance in electron wavefunctions arises from intricate many-body quantum entanglement. One of the natural venues for the criticality is clean undoped Dirac semimetals, known as a…

Strongly Correlated Electrons · Physics 2014-09-03 Eun-Gook Moon , Yong Baek Kim

A variety of compounds, for example doped paraelectrics and polar metals, exhibit both ferroelectricity and correlated electronic phenomena such as low-density superconductivity and anomalous transport. Characterizing such properties is…

Strongly Correlated Electrons · Physics 2023-07-19 Avraham Klein , Vladyslav Kozii , Jonathan Ruhman , Rafael M. Fernandes

Unconventional quantum criticality in heavy-fermion systems has been extensively analyzed in terms of a critical destruction of the Kondo effect. Motivated by a recent demonstration of quantum criticality in a mixed-valent heavy-fermion…

Strongly Correlated Electrons · Physics 2012-08-24 J. H. Pixley , Stefan Kirchner , Kevin Ingersent , Qimiao Si

In the high temperature cuprate superconductors, the pervasiveness of anomalous electronic transport properties suggests that violation of conventional Fermi liquid behavior is closely tied to superconductivity. In other classes of…

Strongly Correlated Electrons · Physics 2012-06-13 N. P. Butch , K. Jin , K. Kirshenbaum , R. L. Greene , J. Paglione

To get insight into the mechanism of emergence of unconventional quantum criticality observed in quasicrystal Yb$_{15}$Al$_{34}$Au$_{51}$, the approximant crystal Yb$_{14}$Al$_{35}$Au$_{51}$ is analyzed theoretically. By constructing a…

Strongly Correlated Electrons · Physics 2016-05-18 Shinji Watanabe , Kazumasa Miyake

Quantum criticality provides a means to understand the apparent non-Fermi liquid phenomena in correlated electron systems. How to properly describe quantum critical points in electronic systems has however been poorly understood. The issues…

Strongly Correlated Electrons · Physics 2009-11-07 Qimiao Si