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At certain quantum critical points in metals an entire Fermi surface may disappear. A crucial question is the nature of the electronic excitations at the critical point. Here we provide arguments showing that at such quantum critical points…

Strongly Correlated Electrons · Physics 2009-11-13 T. Senthil

When a metal undergoes a continuous quantum phase transition, non-Fermi liquid behaviour arises near the critical point. It is standard to assume that all low-energy degrees of freedom induced by quantum criticality are spatially extended,…

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

Anomalous metallic properties are often observed in the proximity of quantum critical points (QCPs), with violation of the Fermi Liquid paradigm. We propose a scenario where, due to the presence of a nearby QCP, dynamical fluctuations of…

Strongly Correlated Electrons · Physics 2020-12-23 S. Caprara , C. Di Castro , G. Mirarchi , G. Seibold , M. Grilli

The coupling between electronic nematic degrees of freedom and acoustic phonons is known to significantly alter the universality class of a nematic quantum critical point (QCP). While non-Fermi-liquid behaviour emerges in the absence of…

Strongly Correlated Electrons · Physics 2025-09-01 Charles R. W. Steward , Grgur Palle , Markus Garst , Joerg Schmalian , Iksu Jang

We report the evolution of nematic fluctuations in FeSe$_{1-x}$S$_x$ single crystals as a function of Sulfur content $x$ across the nematic quantum critical point (QCP) $x_c\sim$ 0.17 via Raman scattering. The Raman spectra in the $B_{1g}$…

We construct examples of translationally invariant solvable models of strongly-correlated metals, composed of lattices of Sachdev-Ye-Kitaev dots with identical local interactions. These models display crossovers as a function of temperature…

Strongly Correlated Electrons · Physics 2018-07-27 Debanjan Chowdhury , Yochai Werman , Erez Berg , T. Senthil

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

Hexagonal Kagome lattice is a multiband system with a quadratic band crossing point, in contrast with honeycomb lattice with linear band crossing point, which has exotic correlated effect and can produce various novel quantum states. Here…

Strongly Correlated Electrons · Physics 2013-12-03 Heng-Fu Lin , Yao-Hua Chen , Hai-Di Liu , Hong-Shuai Tao , Wu-Ming Liu

Quantum-mechanical fluctuations between competing phases at $T=0$ induce exotic finite-temperature collective excitations that are not described by the standard Landau Fermi liquid framework. These excitations exhibit anomalous temperature…

I review our incomplete understanding of non-Fermi liquid behavior in heavy fermion systems at a quantum critical point. General considerations suggest that critical antiferromagnetic fluctuations do not destroy the Fermi surface by…

Strongly Correlated Electrons · Physics 2009-10-31 P. Coleman

We study how superconducting Tc is affected as an electronic system in a tetragonal environment is tuned to a nematic quantum critical point (QCP). Including coupling of the electronic nematic variable to the relevant lattice strain…

Superconductivity · Physics 2017-12-15 D. Labat , I. Paul

Temperature dependence of resistivity of single crystals of Fe$_{1-x}$Co$_x$Se and FeSe$_{1-y}$S$_y$ is studied in detail under zero and high magnetic field (magnetoresistance), the latter of which enables to monitor the temperature ($T$)…

The electronic nematic phase is an unconventional state of matter that spontaneously breaks the rotational symmetry of electrons. In iron-pnictides/chalcogenides and cuprates, the nematic ordering and fluctuations have been suggested to…

Strongly Correlated Electrons · Physics 2019-05-21 T. Shimojima , Y. Suzuki , A. Nakamura , N. Mitsuishi , S. Kasahara , T. Shibauchi , Y. Matsuda , Y. Ishida , S. Shin , K. Ishizaka

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

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

One of the most notorious non-Fermi liquid properties of both archetypal heavy-fermion systems [1-4] and the high-Tc copper oxide superconductors [5] is an electrical resistivity that evolves linearly with temperature, T. In the…

Strongly Correlated Electrons · Physics 2008-03-19 Johnpierre Paglione , T. A. Sayles , P. -C. Ho , J. R. Jeffries , M. B. Maple

We revisit the problem of electrons on a square lattice below half filling close to an Ising-nematic quantum critical point. For Fermi surfaces with sufficiently strong antinodal nesting, the static nematic susceptibility is maximal at the…

Strongly Correlated Electrons · Physics 2015-03-25 Matthias Punk

We study the interplay between superconductivity and non-Fermi liquid behavior of a Fermi surface coupled to a massless $SU(N)$ matrix boson near the quantum critical point. The presence of thermal infrared singularities in both the…

Superconductivity · Physics 2018-02-07 Huajia Wang , Yuxuan Wang , Gonzalo Torroba

This paper is concerned with the weak-moment magnetism in heavy-fermion materials and its relation to the non-Fermi liquid physics observed near the transition to the Fermi liquid. We explore the hypothesis that the primary fluctuations…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Matthias Vojta , Subir Sachdev

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