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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

A lattice model of spinless interacting electrons is used to formulate the Landau theory of the Fermi liquid to electron glass quantum phase transition. We demonstrate that the presence of additional random site energies does not affect the…

Strongly Correlated Electrons · Physics 2009-11-07 Denis Dalidovich , V. Dobrosavljevic

We present a detailed discussion of both theoretical and experimental evidence in favour of the existence of states of ``confined coherence'' in metals of sufficiently high anisotropy and with sufficiently strong correlations. The defining…

Strongly Correlated Electrons · Physics 2009-10-30 David Clarke , Steven Strong

A quantum critical point (QCP) arises at a continuous transition between competing phases at zero temperature. Collective excitations at magnetic QCPs give rise to metallic properties that strongly deviate from the expectations of Landau's…

Strongly Correlated Electrons · Physics 2013-07-04 H. Pfau , S. Hartmann , U. Stockert , P. Sun , S. Lausberg , M. Brando , S. Friedemann , C. Krellner , C. Geibel , S. Wirth , S. Kirchner , E. Abrahams , Q. Si , F. Steglich

Orthogonal metal is a new quantum metallic state that conducts electricity but acquires no Fermi surface (FS) or quasiparticles, and hence orthogonal to the established paradigm of Landau's Fermi-liquid (FL). Such a state may hold the key…

Strongly Correlated Electrons · Physics 2020-03-31 Chuang Chen , Xiao Yan Xu , Yang Qi , Zi Yang Meng

We study quantum phase transitions from easy-plane antiferromagnetic metals to paramagnetic metals in Kondo-Heisenberg lattice systems. If the paramagnetic metal is a fractionalized Fermi liquid then the universal critical properties of the…

Strongly Correlated Electrons · Physics 2011-09-20 Tarun Grover , T. Senthil

One of the greatest challenges to Landau's Fermi liquid theory - the standard theory of metals - is presented by complex materials with strong electronic correlations. In these materials, non-Fermi liquid transport and thermodynamic…

Materials Science · Physics 2014-11-17 T. Hu , Y. P. Singh , L. Shu , M. Janoschek , M. Dzero , M. B. Maple , Carmen C. Almasan

A long standing mystery of fundamental importance in correlated electron physics is to understand strange non-Fermi liquid metals that are seen in diverse quantum materials. A striking experimental feature of these metals is a resistivity…

Strongly Correlated Electrons · Physics 2021-08-19 Dominic V. Else , T. Senthil

Any singular deviation from Landau Fermi-liquid theory appears to lead, for arbitrarily small concentration of impurities coupling to a non-conserved quantity, to a vanishing density of states at the chemical potential and infinite…

Condensed Matter · Physics 2009-10-30 C. M. Varma

It is shown that the Landau paradigm based upon both the quasiparticle concept and the notion of the order parameter is valid and can be used to explain the anomalous behavior of the heavy fermion metals near quantum critical points. The…

Strongly Correlated Electrons · Physics 2009-11-11 V. R. Shaginyan , A. Z. Msezane , M. Ya. Amusia

We have shown that the Landau paradigm based upon both the quasiparticle concept and the notion of the order parameter can be used to explain the anomalous behavior of heavy fermion metals. Exploiting this paradigm and the fermion…

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

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

Developing a theoretical framework for conducting electronic fluids qualitatively distinct from those described by Landau's Fermi-liquid theory is of central importance to many outstanding problems in condensed matter physics. One such…

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

We present a theory of the isotropic-nematic quantum phase transition in the composite Fermi liquid arising in half-filled Landau levels. We show that the quantum phase transition between the isotropic and the nematic phase is triggered by…

Strongly Correlated Electrons · Physics 2016-05-04 Yizhi You , Gil Young Cho , Eduardo Fradkin

The destruction of the Kondo effect in a local-moment metal can lead to a topological non-Fermi-liquid phase, dubbed fractionalized Fermi liquid, with spinon-type excitations and an emergent gauge field. We demonstrate that, if the latter…

Strongly Correlated Electrons · Physics 2025-03-18 Tom Drechsler , Matthias Vojta

High-temperature superconductors (HTSC) and heavy-fermion (HF) metals exhibit extraordinary properties. They are so unusual that the traditional Landau paradigm of quasiparticles does not apply. It is widely believed that utterly new…

Superconductivity · Physics 2008-06-29 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov , V. A. Stephanovich

Extraordinary new materials named quasicrystals and characterized by noncrystallographic rotational symmetry and quasiperiodic translational properties have attracted scrutiny. Study of quasicrystals may shed light on the most basic notions…

Strongly Correlated Electrons · Physics 2013-06-27 V. R. Shaginyan , A. Z. Msezane , K. G. Popov , G. S. Japaridze , V. A. Khodel

Strongly correlated Fermi systems are among the most intriguing, best experimentally studied and fundamental systems in physics. There is, however, lack of theoretical understanding in this field of physics. The ideas based on the concepts…

Strongly Correlated Electrons · Physics 2011-11-22 V. R. Shaginyan

In modern condensed matter theory, phases of electronic matter--such as metals and insulators-are fundamentally distinguished by the presence or absence of charge-carrying quasiparticles or excitations near the Fermi surface at low…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Xian-Peng Zhang , Yan-Qing Feng , Ji-Feng Shao , Haiwen Liu , Yugui Yao
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