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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

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

Quantum criticality describes the collective fluctuations of matter undergoing a second-order phase transition at zero temperature. It is being discussed in a number of strongly correlated electron systems. A prototype case occurs in the…

Strongly Correlated Electrons · Physics 2011-02-28 Qimiao Si

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

Quantum phase transitions in metals are often accompanied by violations of Fermi liquid behavior in the quantum critical regime. Particularly fascinating are transitions beyond the Landau-Ginzburg-Wilson concept of a local order parameter.…

Strongly Correlated Electrons · Physics 2010-10-01 Matthias Vojta

We discuss the finite temperature properties of the fermion correlation function near the fixed point theory of the nematic quantum critical point (QCP) of a metallic Fermi system. We show that though the fixed point theory is above its…

Strongly Correlated Electrons · Physics 2013-05-29 Michael J. Lawler , Eduardo Fradkin

Controlling quantum critical phenomena in strongly correlated electron systems, which emerge in the neighborhood of a quantum phase transition, is a major challenge in modern condensed matter physics. Quantum critical phenomena are…

Strange-metal phenomena often develop at the border of antiferromagnetic order in strongly correlated metals. It has been well established that they can originate from the fluctuations anchored by the point of continuous quantum phase…

The standard description of quantum critical points takes into account only fluctuations of the order parameter, and treats quantum fluctuations as extra dimensions of classical fluctuations. This picture can break down in a qualitative…

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

Quantum phase transitions arise in many-body systems due to competing interactions that promote rivaling ground states. Recent years have seen the identification of continuous quantum phase transitions, or quantum critical points, in a host…

Strongly Correlated Electrons · Physics 2011-02-25 Qimiao Si , Frank Steglich

The interpretation of the magnetic phase diagrams of strongly correlated electron systems remains controversial. In particular, the physics of quantum phase transitions, which occur at zero temperature, is still enigmatic. Heavy-fermion…

Strongly Correlated Electrons · Physics 2012-11-08 W. Knafo , S. Raymond , P. Lejay , J. Flouquet

We address the global magnetic phase diagram of Kondo lattice systems. Through the distinct Fermi surface properties of the various phases at zero temperature, we argue that the phase diagram supports two classes of quantum critical point.…

Strongly Correlated Electrons · Physics 2011-12-14 Qimiao Si

We review the anomalous properties of heavy fermion compounds like CeCu$_{6-x}$Au$_x$ or CeMIn$_5$ close to a zero temperature phase transition called a quantum critical point. Anomalous behavior of the resistivity, specific heat and…

Strongly Correlated Electrons · Physics 2016-08-31 C. Pepin , P. Coleman

The behavior of the electronic system of heavy fermion metals is considered. We show that there exist at least two main types of the behavior when the system is nearby a quantum critical point which can be identified as the fermion…

Strongly Correlated Electrons · Physics 2009-11-10 V. R. Shaginyan

Metallic quantum criticality is frequently discussed as a source for non-Fermi liquid behavior, but controlled theoretical treatments are scarce. Here we identify and study a novel magnetic quantum critical point in a two-dimensional…

Strongly Correlated Electrons · Physics 2023-10-10 Bernhard Frank , Zi Hong Liu , Fakher F. Assaad , Matthias Vojta , Lukas Janssen

Condensed-matter community is involved in hot debate on the nature of quantum critical points (QCP) governing the low-temperature properties of heavy fermion metals. The smeared jump like behavior revealed both in the residual resistivity…

Strongly Correlated Electrons · Physics 2023-11-14 V. R. Shaginyan , A. Z. Msezane , M. V. Zverev , Y. S. Leevik

We construct and discuss the field theory for tensorial nematic order parameter coupled to gapless four-component fermions at the quadratic band touching point in three (spatial) dimensions. Within a properly formulated epsilon-expansion…

Strongly Correlated Electrons · Physics 2015-07-22 Lukas Janssen , Igor F. Herbut

The behaviour of matter near zero temperature continuous phase transitions, or 'quantum critical points' (QCPs) is a central topic of study in condensed matter physics. In fermionic systems, fundamental questions remain unanswered: the…

Strongly Correlated Electrons · Physics 2015-05-30 A. W. Rost , S. A. Grigera , J. A. N. Bruin , R. S. Perry , D. Tian , S. Raghu , S. A. Kivelson , A. P. Mackenzie

The canonical view of heavy fermion quantum criticality assumes a single quantum critical point separating the paramagnet from the antiferromagnet. However, recent experiments on Yb-based heavy fermion compounds suggest the presence of…

Strongly Correlated Electrons · Physics 2015-03-13 J. Custers , P. Gegenwart , C. Geibel , F. Steglich , P. Coleman , S. Paschen

This article briefly reviews three topics related to the quantum critical behavior of certain heavy-fermion systems. First, we summarize an extended dynamical mean-field theory for the Kondo lattice, which treats on an equal footing the…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , J. Lleweilun Smith , Kevin Ingersent
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