scholarly journals Evolution of one-particle and double-occupied Green functions for the Hubbard model, with interaction, at half-filling with lifetime effects within the moment approach

1999 ◽  
Vol 60 (8) ◽  
pp. 5366-5374
Author(s):  
S. Schafroth ◽  
J. J. Rodríguez-Núñez
2008 ◽  
Vol 154 (1) ◽  
pp. 52-63 ◽  
Author(s):  
Yu. A. Izyumov ◽  
N. I. Chashchin
Keyword(s):  

1995 ◽  
Vol 51 (19) ◽  
pp. 13774-13777 ◽  
Author(s):  
A. A. Aligia ◽  
Liliana Arrachea ◽  
E. R. Gagliano

1997 ◽  
Vol 08 (05) ◽  
pp. 1145-1158
Author(s):  
J. J. Rodríguez-Núñez ◽  
S. Schafroth

We implement the numerical method of summing Green function diagrams on the Matsubara frequency axis for the fluctuation exchange (FLEX) approximation. Our method has previously been applied to the attractive Hubbard model for low density. Here we apply our numerical algorithm to the Hubbard model close to half filling (ρ =0.40), and for T/t = 0.03, in order to study the dynamics of one- and two-particle Green functions. For the values of the chosen parameters we see the formation of three branches which we associate with the two-peak structure in the imaginary part of the self-energy. From the imaginary part of the self-energy we conclude that our system is a Fermi liquid (for the temperature investigated here), since Im Σ( k , ω) ≈ w2 around the chemical potential. We have compared our fully self-consistent FLEX solutions with a lower order approximation where the internal Green functions are approximated by free Green functions. These two approches, i.e., the fully self-consistent and the non-self-consistent ones give different results for the parameters considered here. However, they have similar global results for small densities.


1989 ◽  
Vol 40 (13) ◽  
pp. 8939-8944 ◽  
Author(s):  
P. W. Anderson ◽  
B. S. Shastry ◽  
D. Hristopulos

2004 ◽  
Vol 46 (8) ◽  
pp. 1469-1473 ◽  
Author(s):  
S. G. Ovchinnikov ◽  
E. I. Shneider

1998 ◽  
Vol 210 (1) ◽  
pp. 199-228 ◽  
Author(s):  
M. Potthoff ◽  
T. Herrmann ◽  
T. Wegner ◽  
W. Nolting
Keyword(s):  
Sum Rule ◽  

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