The one-dimensional doubly degenerate Hubbard model in the strong-coupling limit

1976 ◽  
Vol 9 (20) ◽  
pp. 3789-3797 ◽  
Author(s):  
C Lacroix-Lyon-Caen ◽  
M Cyrot
Keyword(s):  
Hubbard Model ◽  
Strong Coupling ◽  
Strong Coupling Limit ◽  
One Dimensional ◽  
The One

STRONG COUPLING APPROACH TO ONE-DIMENSIONAL HUBBARD MODEL AND RELATED LATTICE MODELS

1999 ◽  
Vol 13 (05n06) ◽  
pp. 731-740 ◽  
Author(s):  
H. SHIBA ◽  
K. PENC ◽  
F. MILA
Keyword(s):  
Hubbard Model ◽  
Strong Coupling ◽  
Lattice Models ◽  
Wave Functions ◽  
Spectral Functions ◽  
Spin Part ◽  
One Dimensional ◽  
Coupling Approach ◽  
The One ◽  
Charge Part

The strong coupling limit of one-dimensional correlated systems is nontrivial, but simple in some sense. Here we demonstrate it, discussing the wave functions for the 1D U→ +∞ Hubbard model, which are factorized as a direct product of the charge part and the spin part and determining the one-particle spectral functions explicitly.

THE SPINLESS FALICOV–KIMBALL MODEL AWAY FROM HALF-FILLING

1999 ◽  
Vol 13 (15) ◽  
pp. 515-522 ◽  
Author(s):  
ŠTEFAN GÁL
Keyword(s):  
Strong Coupling ◽  
Ground State ◽  
Low Temperatures ◽  
Exact Diagonalization ◽  
Strong Coupling Limit ◽  
Small Cluster ◽  
One Dimensional ◽  
Small Band ◽  
Half Filling ◽  
The One

The one-dimensional spinless Falicov–Kimball (FKM) model is studied in the strong coupling limit away from half-filling. The small-cluster exact-diagonalization calculations are employed to obtain valence transitions in the ground state and for finite temperatures. It is found that in the ground state, the model describes continuous valence transitions for small band-fillings and both continuous and discontinuous transitions near half-filling. At finite temperatures, only continuous valence transitions are obtained. The valence is integer at low temperatures for small band-fillings and in other cases, it takes only intermediate values.

Sign in / Sign up

Export Citation Format

Share Document