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Quantum criticality arises when a macroscopic phase of matter undergoes a continuous transformation at zero temperature. While the collective fluctuations at quantum-critical points are being increasingly recognized as playing an important…

Kinetic properties of a two dimensional model of fermions interacting with antiferromagnetic spin excitations near the quantum critical point (QCP) are considered. The temperature or doping are assumed to be sufficiently high, such that the…

Strongly Correlated Electrons · Physics 2015-06-22 K. B. Efetov

Near a quantum-critical point, a metal reveals two competing tendencies: destruction of fermionic coherence and attraction in one or more pairing channels. We analyze the competition within Eliashberg theory for a class of quantum-critical…

Superconductivity · Physics 2020-06-24 Andrey V. Chubukov , Artem Abanov , Yuxuan Wang , Yi-Ming Wu

Using determinantal quantum Monte Carlo, we compute the properties of a lattice model with spin $\frac 1 2$ itinerant electrons tuned through a quantum phase transition to an Ising nematic phase. The nematic fluctuations induce…

Strongly Correlated Electrons · Physics 2017-05-24 Samuel Lederer , Yoni Schattner , Erez Berg , Steven A. Kivelson

We study the ferminoic spectrum with Weyl correction, which exhibits the non-Fermi liquid behavior. Also, we find that both the height of the peak of the fermionic spectrum and the dispersion relation exhibit a nonlinearity with the variety…

High Energy Physics - Theory · Physics 2019-03-27 Jian-Pin Wu , Baicheng Xu , Guoyang Fu

We investigate the continuous quantum phase transition from an antiferromagnetic metal to a heavy fermion liquid based on the Kondo lattice model in two dimensions. We propose that antiferromagnetic spin fluctuations and conduction…

Strongly Correlated Electrons · Physics 2016-08-31 Ki-Seok Kim

We study the quantum critical phenomena emerging at the transition from triple-Weyl semimetal to band insulator, which is a topological phase transition described by the change of topological invariant. The critical point realizes a new…

Strongly Correlated Electrons · Physics 2019-05-17 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

Non-Fermi liquids in $d=2$ spatial dimensions can arise from coupling a Fermi surface to a gapless boson. At finite temperature, however, the perturbative quantum field theory description breaks down due to infrared divergences. These are…

Strongly Correlated Electrons · Physics 2020-08-05 Jeremias Aguilera Damia , Mario Solis , Gonzalo Torroba

At the low energy regime, the decay rate of two-dimensional massless Dirac fermions due to interactions can be written as $\mathrm{Im}\Sigma(\omega) \propto |\omega|^{x}$ at zero temperature. We find that the fermion system has: I) no sharp…

Strongly Correlated Electrons · Physics 2010-04-13 Jing-Rong Wang , Guo-Zhu Liu

Strongly correlated Fermi systems are fundamental systems in physics that are best studied experimentally, which until very recently have lacked theoretical explanations. This review discusses the construction of a theory and the analysis…

Strongly Correlated Electrons · Physics 2010-06-30 V. R. Shaginyan , M. Ya. Amusia , A. Z. Msezane , K. G. Popov

We present a theory of the scaling behavior of the thermodynamic, transport and dynamical properties of a three-dimensional metal at an antiferromagnetic critical point. We show how the critical spin fluctuations at the AFM wavevector q=Q…

Strongly Correlated Electrons · Physics 2014-07-16 Elihu Abrahams , Joerg Schmalian , Peter Woelfle

Quantum critical points exist at zero temperature, yet, experimentally their influence seems to extend over a large part of the phase diagram of systems such as heavy-fermion compounds and high-temperature superconductors. Theoretically,…

Strongly Correlated Electrons · Physics 2008-11-03 Sébastien Roy , A. -M. S. Tremblay

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

The critical behavior of one-dimensional interacting Fermi systems is expected to display universality features, called Luttinger liquid behavior. Critical exponents and certain thermodynamic quantities are expected to be related among each…

Mathematical Physics · Physics 2015-06-15 Giuseppe Benfatto , Pierluigi Falco , Vieri Mastropietro

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

Thermodynamic characteristics of Fermi systems are investigated in the vicinity of a phase transition where the effective mass diverges and the single-particle spectrum becomes flat. It is demonstrated that at extremely low temperatures…

Strongly Correlated Electrons · Physics 2009-11-10 J. W. Clark , V. A. Khodel , M. V. Zverev

Theoretically, it is commonly held that in metals near a nematic quantum critical point the electronic excitations become incoherent on the entire `hot' Fermi surface, triggering non Fermi liquid behavior. However, such conclusions are…

Strongly Correlated Electrons · Physics 2018-06-01 I. Paul , M. Garst

Since the mid-eighties there has been an accumulation of metallic materials whose thermodynamic and transport properties differ significantly from those predicted by Fermi liquid theory. Examples of these so-called non-Fermi liquids include…

High Energy Physics - Theory · Physics 2010-03-10 Thomas Faulkner , Nabil Iqbal , Hong Liu , John McGreevy , David Vegh

Transport, magnetic and thermal properties at high magnetic fields (H) and low temperatures (T) of the heavy fermion compound CeAuSb_2 are reported. At H=0 this layered system exhibits antiferromagnetic order below T_N = 6 K. Applying B…

Strongly Correlated Electrons · Physics 2009-11-10 L. Balicas , S. Nakatsuji , H. Lee , P. Schlottmann , T. P. Murphy , Z. Fisk

The presence of a quantum critical point separating two distinct zero-temperature phases is thought to underlie the `strange' metal state of many high-temperature superconductors. The nature of this quantum critical point, as well as a…