Nonexistence of Magnetic Ordering in the One- and Two-Dimensional Hubbard Model

1971 ◽  
Vol 27 (23) ◽  
pp. 1584-1587 ◽  
Author(s):  
Dipan K. Ghosh
Keyword(s):  
Hubbard Model ◽  
Magnetic Ordering ◽  
Two Dimensional ◽  
The One

MAGNETIC ORDERING IN A TWO-DIMENSIONAL HUBBARD MODEL

1988 ◽  
Vol 02 (01) ◽  
pp. 505-509
Author(s):  
HUI-QUAN NIE ◽  
BAO-HUA ZHAO ◽  
KAI-YI ZHANG ◽  
K.A. Chao ◽  
R. MICNAS
Keyword(s):  
Hubbard Model ◽  
Magnetic Phase ◽  
Three Dimensional ◽  
Perturbation Expansion ◽  
Magnetic Phase Diagram ◽  
Magnetic Ordering ◽  
Two Dimensional ◽  
Antiferromagnetic Ordering ◽  
Monte Carlo Investigation ◽  
Magnetic Structure Factor

We have used the fourth order perturbation expansion to construct the magnetic phase diagram of the two-dimensional Hubbard model. To the contrary of the three-dimensional case, a stable antiferromagnetic phase is found at the limit of (t/U)≃0 if the electron density n lies in the region 0.95<n<1.05. Our results for n=0.9 are compared to the recent indecisive Monte-Carlo investigation on the magnetic structure factor regarding the antiferromagnetic ordering.

Sign in / Sign up

Export Citation Format

Share Document