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There are few general physical principles that protect the low energy excitations of a quantum phase. Of these, Goldstone's theorem and Landau Fermi liquid theory are the most relevant to solids. We investigate the stability of the…

Strongly Correlated Electrons · Physics 2014-11-25 Haruki Watanabe , Ashvin Vishwanath

Fermi liquid theory is used to generate the Ginzburg-Landau free energy functionals for unconventional superconductors belonging to various representations. The parameters defining the GL functional depend on Fermi surface anisotropy,…

Superconductivity · Physics 2024-06-11 J. A. Sauls

Landau's phenomenological theory of Fermi liquids is a fundamental paradigm in many-body physics that has been remarkably successful in explaining the properties of a wide range of interacting fermion systems, such as liquid helium-3,…

Strongly Correlated Electrons · Physics 2015-08-12 Rex Lundgren , Joseph Maciejko

It is shown that the main features of the phase diagram for high Tc superconductivity can be calculated as a function of doping in a simple, essentially unique non-Landau/Fermi liquid with quartic interactions. The phase diagram depends on…

Strongly Correlated Electrons · Physics 2008-05-30 Eliot Kapit , André LeClair

We investigate the Landau parameters for the instabilities in spin and charge channels in the nondegenerate extended Hubbard model with intersite Coulomb and exchange interactions. To this aim we use the spin rotationally invariant slave…

Strongly Correlated Electrons · Physics 2015-06-12 Grégoire Lhoutellier , Raymond Frésard , Andrzej M. Oleś

Based on an unconventional Fermi liquid model, we present several results on the optimally doped and overdoped cuprate superconductors. For the normal state, we provide an analytic demonstration, backed by self-consistent Baym-Kadanoff (BK)…

Superconductivity · Physics 2016-08-31 George Kastrinakis

Landau suggested that the low-temperature properties of metals can be understood in terms of long-lived quasiparticles with all complex interactions included in Fermi-liquid parameters, such as the effective mass $m^{\star}$. Despite its…

In quantum critical metals, a plethora of different non-Fermi liquids arises depending on the nature of critical fluctuations coupled to Fermi surfaces. In this paper, we classify non-Fermi liquids that arise from q=0 critical fluctuations…

Strongly Correlated Electrons · Physics 2026-04-17 Shubham Kukreja , Dawson M. Willerton , Sung-Sik Lee

We propose a new non-Fermi liquid ground state in one dimension that is not of the Luttinger type. It is the ground state of fermions interacting via a long range repulsive interaction in real space of the form $ V(x) = e^2/|x| $. We…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Girish S. Setlur , HRI

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

The possible heavy fermion superconductivity is carefully reexamined in the two-dimensional Kondo lattice model with an antiferromagnetic Heisenberg superexchange between local magnetic moments. In order to establish an effective mean field…

Strongly Correlated Electrons · Physics 2012-08-02 Yu Liu , Huan Li , Guang-Ming Zhang , L. Yu

An intense investigation of possible non-Fermi liquid states of matter has been inspired by two of the most intriguing phenomena discovered in the past quarter century, namely high temperature superconductivity and the fractional quantum…

Strongly Correlated Electrons · Physics 2015-05-13 J. K. Jain , P. W. Anderson

A nonlinear transformation approach is formulated for the correlated fermions' thermodynamics through a medium-scaling effective action. An auxiliary implicit variable-effective chemical potential is introduced to characterize the…

Statistical Mechanics · Physics 2009-10-20 Ji-sheng Chen

It has been claimed that an impurity hopping between two sites in a metal can lead to non--Fermi liquid behavior if the bias between the two sites is tuned to zero. Here it is shown that several extra tunnelling processes are allowed; those…

Condensed Matter · Physics 2009-10-28 Aris L. Moustakas , Daniel S. Fisher

We study the nonanalytic behavior of the static spin susceptibility of 2D fermions as a function of temperature and magnetic field. For a generic Fermi liquid, \chi_s (T, H)= const+c_1 max (T,\mu_B|H|), where c_1 is shown to be expressed…

Strongly Correlated Electrons · Physics 2016-08-31 Dmitrii L. Maslov , Andrey V. Chubukov , Ronojoy Saha

Non-Fermi liquid behavior of strongly correlated Fermi systems is derived within the Landau approach. We attribute this behavior to a phase transition associated with a rearrangement of the Landau state that leads to flattening of a portion…

Strongly Correlated Electrons · Physics 2017-08-23 V. A. Khodel , J. W. Clark , H. Li , V. M. Yakovenko , M. V. Zverev

We consider the behavior of strongly correlated electron liquid in high-temperature superconductors within the framework of the fermion condensation model. We show that at low temperatures the normal state recovered by the application of a…

Strongly Correlated Electrons · Physics 2009-11-10 M. Ya. Amusia , V. R. Shaginyan

The evolution between Fermi liquid and non-Fermi-liquid states in correlated electron systems has been a central subject in condensed matter physics because of the coupled intriguing magnetic and electronic states. An effective pathway to…

Strongly Correlated Electrons · Physics 2021-04-30 Shengchun Shen , Zhuolu Li , Zijun Tian , Weidong Luo , Satoshi Okamoto , Pu Yu

Cuprate high-T_c superconductors on the Mott-insulating side of "optimal doping" (with respect to the highest T_c's) exhibit enigmatic behavior in the non-superconducting state. Near optimal doping the transport and spectroscopic properties…

We address the emergent quantum critical phenomena for (pseudo)spin-3/2 birefringent fermions, featuring two effective Fermi velocities, when they reside close to itinerant Mott transitions realized through spontaneous symmetry breaking and…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Bitan Roy , Vladimir Juricic