scholarly journals Erratum: Higher-order Fermi-liquid corrections for an Anderson impurity away from half filling: Nonequilibrium transport [Phys. Rev. B 97 , 035435 (2018)]

2018 ◽  
Vol 98 (7) ◽  
Author(s):  
Akira Oguri ◽  
A. C. Hewson
Keyword(s):  
Fermi Liquid ◽  
Higher Order ◽  
Nonequilibrium Transport ◽  
Half Filling

scholarly journals Rise and fall of Landau’s quasiparticles while approaching the Mott transition

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Andrej Pustogow ◽  
Yohei Saito ◽  
Anja Löhle ◽  
Miriam Sanz Alonso ◽  
Atsushi Kawamoto ◽  
...  
Keyword(s):  
Fermi Liquid ◽  
Mott Transition ◽  
Dynamical Localization ◽  
Strong Increase ◽  
Unconventional Superconductors ◽  
Scattering Rate ◽  
Complex Interactions ◽  
Liquid Behavior ◽  
Half Filling ◽  
Correlation Strength

AbstractLandau 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⋆. Despite its wide applicability, electronic transport in bad or strange metals and unconventional superconductors is controversially discussed towards a possible collapse of the quasiparticle concept. Here we explore the electrodynamic response of correlated metals at half filling for varying correlation strength upon approaching a Mott insulator. We reveal persistent Fermi-liquid behavior with pronounced quadratic dependences of the optical scattering rate on temperature and frequency, along with a puzzling elastic contribution to relaxation. The strong increase of the resistivity beyond the Ioffe–Regel–Mott limit is accompanied by a ‘displaced Drude peak’ in the optical conductivity. Our results, supported by a theoretical model for the optical response, demonstrate the emergence of a bad metal from resilient quasiparticles that are subject to dynamical localization and dissolve near the Mott transition.

Anomalous Fermi Liquid Effects in Two-Dimensional Hubbard Model near Half-Filling

2000 ◽  
Vol 69 (7) ◽  
pp. 2158-2163 ◽  
Author(s):  
Yuki Fuseya ◽  
Hideaki Maebashi ◽  
Satoshi Yotsuhashi ◽  
Kazumasa Miyake
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Two Dimensional ◽  
Half Filling

THE SINGLE-SITE APPROXIMATION TO THE HUBBARD MODEL

1993 ◽  
Vol 07 (14) ◽  
pp. 2667-2684
Author(s):  
MASSIMO CORRIAS
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Particle Density ◽  
Fluid Model ◽  
Interaction Strength ◽  
Electron System ◽  
Field Approximation ◽  
Single Site ◽  
Mean Field Approximation ◽  
Half Filling

The diagrammatic formulation of the single-site approximation to the Hubbard model immediately yields the exact solution to the Falikov-Kimball model in infinite dimensions. By an extension of the alloy analogy, we then derive a two-fluid model, dividing self-consistently the electron system among itinerating and relatively localized particles. Our theory coincides with the CPA only the at half-filling and u=∞. We start by studying the mean field approximation to our theory and identify a phase boundary in the particle density-interaction strength (n−u) plane at which the Fermi liquid model breaks down. Then the effect of fluctuations in the Fermi liquid regime is considered and, finally, we construct, at half-filling, a model which interpolates between the Fermi liquid and the Mott insulating phases.

THE RVB CONDUCTOR AND THE FERMI LIQUID (GUTZWILLER-BRINKMAN-RICE) CONDUCTOR

1988 ◽  
Vol 02 (05) ◽  
pp. 539-554 ◽  
Author(s):  
G. Baskaran
Keyword(s):  
Fixed Point ◽  
Fermi Liquid ◽  
Group Analysis ◽  
Transformation Method ◽  
The Novel ◽  
Long Wavelength ◽  
Long Time ◽  
Half Filling ◽  
Doped Mott Insulator ◽  
Two Phases

The doped Mott insulator has, under some conditions, qualitatively different behaviour as compared to an ordinary Fermi liquid conductor. This difference is focussed and brought out by a simple renormalisation group analysis as well as reinterpreting the known canonical transformation method and other results. We argue that there exists a separate fixed point, different from the Fermi-liquid fixed point, which governs the long wavelength and long-time scale behaviour of an RVB conductor. Also we identify the disordered local moment phase of the Hubbard model (for non-half filling) with the RVB metal phase and locate the phase boundary between the two phases. At the end we study in detail a recent construction of Anderson and show that the novel quasi-particles of an RVB conductor, namely, holons and spinons are bosons and fermions respectively.

THE HUBBARD MODEL: FROM SMALL TO LARGE U

1991 ◽  
Vol 05 (06n07) ◽  
pp. 999-1014 ◽  
Author(s):  
DIONYS BAERISWYL ◽  
WOLFGANG VON DER LINDEN
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
Fermi Liquid ◽  
Interpolation Formula ◽  
Step Function ◽  
One Dimension ◽  
Marginal Fermi Liquid ◽  
Momentum Distribution Function ◽  
Half Filling ◽  
Normal Fermi

The Hubbard model is investigated starting from both the small and large U limits. This allows one to derive an interpolation formula for the double occupancy at half-filling for dimensionalities d = 1, 2, 3. It shows a smooth behavior as a function of U and tends to zero only for U → ∞. A quantity that probes more sensitively the nature of the ground state is the momentum distribution function n(k). At half filling n(k) is smooth at k F both for d = 1 and d = 2, at least for not too small values of U. In one dimension for all other band fillings the slope of n(k) has a power-law singularity at k F with an exponent α increasing steadily from zero at U = 0 to 1/8 for U → ∞; the system is a "marginal Fermi liquid". A similar behavior may occur close to half-filling for d = 2, but for small densities one expects the usual step function of a normal Fermi liquid.

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