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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 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

We find that competition between random Kondo and random magnetic correlations results in a quantum phase transition from a local Fermi liquid to a spin liquid. The local charge susceptibility turns out to have exactly the same critical…

Strongly Correlated Electrons · Physics 2014-11-21 Minh-Tien Tran , Ki-Seok Kim

We investigate the quantum phase transition of itinerant ferromagnets. It is shown that correlation effects in the underlying itinerant electron system lead to singularities in the order parameter field theory that result in an effective…

Statistical Mechanics · Physics 2017-09-27 Thomas Vojta , D. Belitz , T. R. Kirkpatrick , R. Narayanan

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

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

Small changes in an external parameter can often lead to dramatic qualitative changes in the lowest energy quantum mechanical ground state of a correlated electron system. In anisotropic crystals, such as the high temperature…

Strongly Correlated Electrons · Physics 2009-10-31 Subir Sachdev

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

The zero temperature, or quantum, metal-superconductor phase transition is studied in disordered systems in dimension greater than two. A effective local field theory is developed that keeps all soft modes or fluctuations explicitly. A…

Superconductivity · Physics 2009-11-10 Lubo Zhou , T. R. Kirkpatrick

The vicinity of quantum phase transitions has proven fertile ground in the search for new quantum phases. We propose a physically motivated and unifying description of phase reconstruction near metallic quantum-critical points using the…

Strongly Correlated Electrons · Physics 2015-06-03 Frank Krüger , Una Karahasanovic , Andrew G. Green

Zero-temperature or quantum phase transitions in itinerant electronic systems both with and without quenched disordered are discussed. Phase transitions considered include, the ferromagnetic transition, the antiferromagnetic transition, the…

Statistical Mechanics · Physics 2008-02-03 T. R. Kirkpatrick , D. Belitz

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

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…

Strongly correlated electron systems at the border of magnetism are of active current interest, particularly because the accompanying quantum criticality provides a route towards both strange-metal non-Fermi liquid behavior and…

Strongly Correlated Electrons · Physics 2013-08-28 Qimiao Si , Silke Paschen

We present a pedagogical overview of recent theoretical work on unconventional quantum phases and quantum phase transitions in condensed matter systems. Strong correlations between electrons can lead to a breakdown of two traditional…

Strongly Correlated Electrons · Physics 2009-11-11 Fabien Alet , Aleksandra M. Walczak , Matthew P. A. Fisher

We consider a two-dimensional interacting Fermi system which displays a nematic phase within mean-field theory. The system is analyzed using a non-perturbative renormalization-group scheme. We find that order-parameter fluctuations can…

Strongly Correlated Electrons · Physics 2015-05-20 Hiroyuki Yamase , Pawel Jakubczyk , Walter Metzner

The theory of second order phase transitions is one of the foundations of modern statistical mechanics and condensed matter theory. A central concept is the observable `order parameter', whose non-zero average value characterizes one or…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Ashvin Vishwanath , Leon Balents , Subir Sachdev , M. P. A. Fisher

This article explores the deep interconnections among three seemingly unrelated concepts in condensed matter physics: electronic liquid crystal phases, multipole expansions, and altermagnetism. At the heart of these phenomena lies a shared…

Superconductivity · Physics 2025-10-13 Zhao Liu , Hui Hu , Xia-Ji Liu

Quantum discord is a measure of quantum correlations beyond the entanglement-separability paradigm. It is conceptualized by using the von Neumann entropy as a measure of disorder. We introduce a class of quantum correlation measures as…

Quantum Physics · Physics 2015-08-07 Avijit Misra , Anindya Biswas , Arun K. Pati , Aditi Sen De , Ujjwal Sen

In many unconventional superconductors, the strange-metal regime is thought to emerge from quantum criticality, yet in cuprates this link is obscured by the enigmatic pseudogap. Superconducting infinite-layer nickelates provide a new arena…