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

Fermi-liquid theory in the low-density two-dimensional Hubbard model

1993 ◽  
Vol 48 (14) ◽  
pp. 10567-10570 ◽  
Author(s):  
Sudhakar Yarlagadda ◽  
Susumu Kurihara
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Low Density ◽  
Two Dimensional ◽  
Fermi Liquid Theory ◽  
Liquid Theory

scholarly journals Systematic 1/Sstudy of the two-dimensional Hubbard model at half-filling

1994 ◽  
Vol 50 (9) ◽  
pp. 6238-6245 ◽  
Author(s):  
Andrey V. Chubukov ◽  
Karen A. Musaelian
Keyword(s):  
Hubbard Model ◽  
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.

ANISOTROPIC PSEUDOGAP IN THE HALF-FILLING TWO-DIMENSIONAL HUBBARD MODEL AT FINITE TEMPERATURE

2000 ◽  
Vol 14 (21) ◽  
pp. 2271-2286
Author(s):  
TAIICHIRO SAIKAWA ◽  
ALVARO FERRAZ
Keyword(s):  
Fermi Surface ◽  
Fermi Level ◽  
Hubbard Model ◽  
Spectral Function ◽  
Density Of States ◽  
Spin Fluctuation ◽  
The Self ◽  
Two Dimensional ◽  
Self Energy ◽  
Half Filling

We have studied the pseudogap formation in the single-particle spectra of the half-filling two-dimensional Hubbard model. Using a Green's function with the one-loop self-energy correction of the spin and charge fluctuations, we have numerically calculated the self-energy, the spectral function, and the density of states in the weak-coupling regime at finite temperatures. Pseudogap formations have been observed in both the density of states and the spectral function at the Fermi level. The pseudogap in the spectral function is explained by the non-Fermi-liquid-like nature of the self-energy. The anomalous behavior in the self-energy is caused by both the strong antiferromagnetic spin fluctuation and the nesting condition on the non-interacting Fermi surface. In the present approximation, we find a logarithmic singularity in the integrand of the self-energy imaginary part. The pseudogap in the spectral function is highly momentum dependent on the Fermi surface. This anisotropy of the pseudogap is produced by the flatness of the band dispersion around the saddle point rather than the nesting condition on the Fermi level.

Crossover from Fermi liquid to Luttinger-liquid-like behavior in the two-dimensional Hubbard model

1993 ◽  
Vol 48 (5) ◽  
pp. 3527-3530 ◽  
Author(s):  
D. N. Aristov ◽  
S. V. Maleyev ◽  
A. G. Yashenkin
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Luttinger Liquid ◽  
Two Dimensional

scholarly journals Imaging the Holon string of the Hubbard model

2020 ◽  
Vol 117 (42) ◽  
pp. 26141-26144
Author(s):  
Tin-Lun Ho
Keyword(s):  
Hubbard Model ◽  
Atomic Physics ◽  
Ground State ◽  
Condensed Matter ◽  
Quantum Simulation ◽  
Condensed Matter Physics ◽  
Two Dimensional ◽  
Ground State Wavefunction ◽  
Half Filling ◽  
Strong Repulsion

It has been a long-sought goal of quantum simulation to find answers to outstanding questions in condensed-matter physics. A famous example is finding the ground state and the excitations of the two-dimensional (2D) Hubbard model with strong repulsion below half-filling. This system is a doped antiferromagnet and is of great interest because of its possible relation to high-Tcsuperconductors. Theoretically, the fermion excitations of this model are believed to split up into holons and spinons, and a moving holon is believed to leave behind it a string of “wrong” spins that mismatch with the antiferromagnetic background. Here, we show that the properties of the ground-state wavefunction and the holon excitation of the 2D Hubbard model can be revealed in unprecedented detail by using the imaging and the interference technique in atomic physics. They allow one to reveal the Marshall sign of the doped antiferromagnet. The region of wrong Marshall sign indicates the location of the holon string.

FUNCTIONAL RENORMALIZATION GROUP IN THE 2D HUBBARD MODEL

2006 ◽  
Vol 20 (19) ◽  
pp. 2636-2646 ◽  
Author(s):  
CARSTEN HONERKAMP
Keyword(s):  
Renormalization Group ◽  
Hubbard Model ◽  
Fermi Liquid ◽  
Broken Symmetry ◽  
Two Dimensional ◽  
Functional Renormalization Group ◽  
Recent Developments ◽  
Dimensional Models ◽  
Low Dimensional

We review recent developments in functional renormalization group (RG) methods for interacting fermions. These approaches aim at obtaining an unbiased picture of competing Fermi liquid instabilities in the low-dimensional models like the two-dimensional Hubbard model. We discuss how these instabilities can be approached from various sides and how the fermionic RG flow can be continued into phases with broken symmetry.

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