High-order perturbation expansion for the two-dimensional Hubbard model using the Gutzwiller wave function

1993 ◽  
Vol 47 (8) ◽  
pp. 4168-4173 ◽  
Author(s):  
Zsolt Gulácsi ◽  
Miklós Gulácsi ◽  
Boldizsár Jankó
Keyword(s):  
Wave Function ◽  
Hubbard Model ◽  
Perturbation Expansion ◽  
High Order ◽  
Order Perturbation ◽  
Two Dimensional

Phase diagram of cuprate high-temperature superconductors based on the optimization Monte Carlo method

2020 ◽  
Vol 34 (19n20) ◽  
pp. 2040046
Author(s):  
T. Yanagisawa ◽  
M. Miyazaki ◽  
K. Yamaji
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Wave Function ◽  
High Temperature ◽  
Hubbard Model ◽  
Ground State ◽  
State Energy ◽  
High Temperature Superconductivity ◽  
Two Dimensional ◽  
Text Model

It is important to understand the phase diagram of electronic states in the CuO2 plane to clarify the mechanism of high-temperature superconductivity. We investigate the ground state of electronic models with strong correlation by employing the optimization variational Monte Carlo method. We consider the two-dimensional Hubbard model as well as the three-band [Formula: see text]–[Formula: see text] model. We use the improved wave function that takes account of inter-site electron correlation to go beyond the Gutzwiller wave function. The ground state energy is lowered considerably, which now gives the best estimate of the ground state energy for the two-dimensional Hubbard model. The many-body effect plays an important role as an origin of spin correlation and superconductivity in correlated electron systems. We investigate the competition between the antiferromagnetic state and superconducting state by varying the Coulomb repulsion [Formula: see text], the band parameter [Formula: see text] and the electron density [Formula: see text] for the Hubbard model. We show phase diagrams that include superconducting and antiferromagnetic phases. We expect that high-temperature superconductivity occurs near the boundary between antiferromagnetic phase and superconducting one. Since the three-band [Formula: see text]–[Formula: see text] model contains many-band parameters, high-temperature superconductivity may be more likely to occur in the [Formula: see text]–[Formula: see text] model than in single-band models.

scholarly journals Superconductivity in the two-dimensional Hubbard model: Gutzwiller wave function solution

2013 ◽  
Vol 88 (11) ◽  
Author(s):  
Jan Kaczmarczyk ◽  
Jozef Spałek ◽  
Tobias Schickling ◽  
Jörg Bünemann
Keyword(s):  
Wave Function ◽  
Hubbard Model ◽  
Two Dimensional ◽  
Function Solution

scholarly journals High-order correlation effects in the two-dimensional Hubbard model

2005 ◽  
Vol 72 (20) ◽  
Author(s):  
Satoru Odashima ◽  
Adolfo Avella ◽  
Ferdinando Mancini
Keyword(s):  
Hubbard Model ◽  
High Order ◽  
Two Dimensional ◽  
Correlation Effects ◽  
High Order Correlation

scholarly journals Perturbation expansion for the two-dimensional Hubbard model

2000 ◽  
Vol 63 (3) ◽  
Author(s):  
V. Zlatić ◽  
B. Horvatić ◽  
B. Dolički ◽  
S. Grabowski ◽  
P. Entel ◽  
...  
Keyword(s):  
Hubbard Model ◽  
Perturbation Expansion ◽  
Two Dimensional
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