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Recent experimental results: (i) the measurement of the $T \ln T$ specific heat in cuprates and the earlier such results in some heavy fermion compounds, (ii) the measurement of the single-particle scattering rates, (iii) the density…

Strongly Correlated Electrons · Physics 2020-07-15 Chandra M. Varma

The anomalous transport and thermodynamic properties in the quantum-critical region, in the cuprates, and in the quasi-two dimensional Fe-based superconductors and heavy-fermion compounds, have the same temperature dependences. This can…

Strongly Correlated Electrons · Physics 2016-07-27 Chandra M. Varma

Proceeding from the simplest field theoretical model of 2D metal, the normal phase Green functions of the weakly interacting fermions and the order parameter fluctuations (responsible for the attraction between fermions) are obtained. It is…

Condensed Matter · Physics 2007-05-23 V. P. Gusynin , V. M. Loktev , I. A. Shovkovy

Recent cold atom experiments have observed bad and strange metal behaviors in strongly-interacting Fermi-Hubbard systems. Motivated by these results, we calculate the thermoelectric transport properties of a 2D Fermi-Hubbard system in the…

Quantum Gases · Physics 2021-08-27 Thomas G. Kiely , Erich J. Mueller

We review the leading momentum, frequency and temperature dependences of the single particle self-energy and the corresponding term in the entropy of a two dimensional Fermi liquid (FL) with a free particle spectrum. We calculate the…

Strongly Correlated Electrons · Physics 2009-10-30 Jungsoo Kim , D. Coffey

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

A novel method to determine the density and temperature of a system is proposed based on quantum fluctuations typical of Fermions in the limit where the reached temperature T is small compared to the Fermi energy $\epsilon_f$ at a given…

Nuclear Theory · Physics 2011-06-27 Hua Zheng , Aldo Bonasera

An important problem in contemporary physics concerns quantum-critical fluctuations in metals. A scaling function for the momentum, frequency, temperature and magnetic field dependence of the correlation function near a 2D-ferromagnetic…

Strongly Correlated Electrons · Physics 2018-02-28 Chandra M. Varma , W. J. Gannon , M. C. Aronson , J. A. Rodriguez-Rivera , Y. Qiu

Quasi-two dimensional itinerant fermions in the Anti-Ferro-Magnetic (AFM) quantum-critical region of their phase diagram, such as in the Fe-based superconductors or in some of the heavy-fermion compounds, exhibit a resistivity varying…

Strongly Correlated Electrons · Physics 2015-11-10 C. M. Varma

An introductory survey of the theoretical ideas and calculations and the experimental results which depart from Landau Fermi-liquids is presented. Common themes and possible routes to the singularities leading to the breakdown of Landau…

Strongly Correlated Electrons · Physics 2009-11-07 C. M. Varma , Z. Nussinov , W. van Saarloos

Low energy properties of the metallic state of the 2-dimensional tJ model are presented at various densities and temperatures for second neighbor hopping t', with signs that are negative or positive corresponding to hole or electron doping.…

Strongly Correlated Electrons · Physics 2026-01-16 B. Sriram Shastry , Peizhi Mai

In quantum materials, electrons that have strong correlations tend to localize, leading to quantum spins as the building blocks for low-energy physics. When strongly correlated electrons coexist with more weakly-correlated conduction…

Strongly Correlated Electrons · Physics 2021-09-28 Haoyu Hu , Ang Cai , Lei Chen , Lili Deng , Jedediah H. Pixley , Kevin Ingersent , Qimiao Si

We study the finite temperature Fermi-liquid to non-Fermi-liquid crossover in the 2D Hubbard model for a range of dopings using the self-consistent ladder dual fermion method. We consider relatively high temperatures where we identify a…

Strongly Correlated Electrons · Physics 2020-02-19 Behnam Arzhang , A. E. Antipov , J. P. F. LeBlanc

Marginal Fermi liquid was originally introduced as a phenomenological description of the cuprates in a part of the metallic doping range which appears to be governed by fluctuations due to a quantum-critical point. An essential result due…

Strongly Correlated Electrons · Physics 2009-01-24 A. Shekhter , C. M. Varma

The behavior of the conductivity and the density of states, as well as the phase relaxation time, of disordered itinerant electrons across a quantum ferromagnetic transition is discussed. It is shown that critical fluctuations lead to…

Statistical Mechanics · Physics 2017-08-23 D. Belitz , S. L. Sessions , T. R. Kirkpatrick , M. T. Mercaldo , R. Narayanan , Thomas Vojta

While multiband systems are usually considered for flat-band physics, here we study one-band models that have flat portions in the dispersion to explore correlation effects in the 2D repulsive Hubbard model in an intermediate coupling…

The strange metallic regime across a number of high-temperature superconducting materials presents numerous challenges to the classic theory of Fermi liquid metals. Recent measurements of the dynamical charge response of strange metals,…

Strongly Correlated Electrons · Physics 2023-07-18 Stephen J. Thornton , Danilo B. Liarte , Peter Abbamonte , James P. Sethna , Debanjan Chowdhury

The conductivity and the tunneling density of states of disordered itinerant electrons in the vicinity of a ferromagnetic transition at low temperature are discussed. Critical fluctuations lead to nonanalytic frequency and temperature…

Statistical Mechanics · Physics 2009-10-31 D. Belitz , T. R. Kirkpatrick , R. Narayanan , Thomas Vojta

Basing on the density functional theory of fermion condensation, we analyze the non-Fermi liquid behavior of strongly correlated Fermi-systems such as heavy-fermion metals. When deriving equations for the effective mass of quasiparticles,…

Strongly Correlated Electrons · Physics 2009-05-14 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov

The strongly correlated electron fluids in high temperature cuprate superconductors demonstrate an anomalous linear temperature ($T$) dependent resistivity behavior, which persists to a wide temperature range without exhibiting saturation.…

Superconductivity · Physics 2017-08-01 Tao Hu , Yinshang Liu , Hong Xiao , Gang Mu , Yi-feng Yang
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