Low-energy properties of the two-dimensional Hubbard model near half filling

1995 ◽  
Vol 52 (16) ◽  
pp. 11752-11756 ◽  
Author(s):  
Barry Friedman ◽  
Greg Levine
Keyword(s):  
Hubbard Model ◽  
Low Energy ◽  
Two Dimensional ◽  
Half Filling

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

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

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.

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.

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