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In this letter we consider $D$-dimensional interacting Fermi liquids, and demonstrate that an attractive interaction with a finite range $R_s$ that is much greater than the Fermi wavelength $\lambda_F$ breaks the conventional BCS theory of…

Strongly Correlated Electrons · Physics 2025-02-18 Dmitry Miserev , Joel Hutchinson , Herbert Schoeller , Jelena Klinovaja , Daniel Loss

The quasiparticles in the normal state of cuprate superconductors have been shown to behave universally as a 3-dimensional Fermi liquid. Because of interactions and the presence of the Fermi surfaces (or Fermi energies), the quasiparticle…

Superconductivity · Physics 2023-10-18 Setsuo Misawa

We study the effect of dissipation on quantum phase fluctuations in d-wave superconductors. Dissipation, arising from a nonzero low frequency optical conductivity which has been measured in experiments below $T_c$, has two effects: (1) a…

Superconductivity · Physics 2009-10-31 L. Benfatto , S. Caprara , C. Castellani , A. Paramekanti , M. Randeria

A detailed analysis is given of the effects of common and recurring approximations used in conventional superconductivity theories on the condensation energy values, whose magnitudes are notoriously smaller than those of other energies as…

Superconductivity · Physics 2022-10-19 I. Chávez , P. Salas , M. A. Solís , M. de Llano

We present a numerical study on non-Fermi liquid behaviour of a three dimensional system. The Hubbard model in a cubic lattice is simulated by the dynamical cluster approximation, in particular the quasi-particle weight is calculated at…

Strongly Correlated Electrons · Physics 2020-08-31 Samuel Kellar , Ka-Ming Tam

We apply density functional theory to study the freezing of superfluid {$^{4}\rm{He}$}, charged bosons and charged fermions at zero temperature. We employ accurate Quantum Monte Carlo data for the linear response function in the uniform…

Condensed Matter · Physics 2009-10-28 C. N. Likos , Saverio Moroni , Gaetano Senatore

Quantum critical fluctuations may prove to play an instrumental role in the formation of unconventional superconductivity. Here, we show that the characteristic scaling of a marginal Fermi liquid is present in inelastic light scattering…

We review the intriguing many-body physics resulting out of the interplay of a single, local impurity and the two-particle interaction in a one-dimensional Fermi system. Even if the underlying homogeneous correlated system is taken to be…

Strongly Correlated Electrons · Physics 2020-02-12 A. Anthore , D. M. Kennes , E. Boulat , S. Andergassen , F. Pierre , V. Meden

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…

We study the statistical mechanics of supercooled liquids when the system evolves at a temperature $T$ with a field $\epsilon$ linearly coupled to its overlap with a reference configuration of the same liquid sampled at a temperature $T_0$.…

Statistical Mechanics · Physics 2022-04-05 Benjamin Guiselin , Ludovic Berthier , Gilles Tarjus

The total momentum of $N$ interacting bosons or fermions in a cube equipped with periodic boundary conditions is a conserved quantity. Its eigenvalues follow a probability distribution, determined by the thermal equilibrium state. While in…

Quantum Gases · Physics 2015-12-21 Andras Suto

This article develops a Fermi-liquid theory for superconductors with anisotropic Fermi surfaces, Fermi-liquid interactions, and energy gaps. For d-wave superconductors, the Fermi-liquid interaction effects are found to be classifiable into…

Superconductivity · Physics 2007-05-23 M. B. Walker

As discovered in the quantum Hall effect, a very effective way for strongly-repulsive electrons to minimize their potential energy is to aquire non-zero relative angular momentum. We pursue this mechanism for interacting two-dimensional…

Strongly Correlated Electrons · Physics 2009-10-31 Leon Balents , Matthew P. A. Fisher , Chetan Nayak

Using a quantum Boltzmann equation framework, we analyse the nature of generic low-energy deformations of a critical Fermi surface, which exists at the non-Fermi liquid fixed point of a system consisting of fermions interacting with…

Strongly Correlated Electrons · Physics 2023-07-25 Kazi Ranjibul Islam , Ipsita Mandal

We study the temperature dependence of the conductivity due to quantum interference processes for a two-dimensional disordered itinerant electron system close to a ferromagnetic quantum critical point. Near the quantum critical point, the…

Strongly Correlated Electrons · Physics 2009-11-11 I. Paul , C. Pépin , B. N. Narozhny , D. L. Maslov

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

We use the coupled 2d-spin-3d-fermion model proposed by Rosch {\sl et. al.} (Phys. Rev. Lett. {\bf 79}, 159 (1997)) to study the thermoelectric behaviour of a heavy fermion compound when it is close to an antiferromagnetic quantum critical…

Strongly Correlated Electrons · Physics 2009-11-07 Indranil Paul , Gabriel Kotliar

We develop a general theory of fermion liquids in spatial dimensions greater than one. The principal method, bosonization, is applied to the cases of short and long range longitudinal interactions, and to transverse gauge interactions. All…

Condensed Matter · Physics 2016-08-31 H. -J. Kwon , A. Houghton , J. B. Marston

We describe two dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Takao Morinari

The Ginzburg-Landau-Wilson theory that describes the disordered Fermi liquid - d-wave superconductor phase transition at zero temperature is derived at weak coupling. The theory represents an interacting dissipative system of bosonic Cooper…

Superconductivity · Physics 2009-10-31 Igor F. Herbut
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