Exact ground-state correlation functions of the one-dimensional Emery model in the strong-coupling limit

1994 ◽  
Vol 49 (13) ◽  
pp. 8882-8900 ◽  
Author(s):  
P.-A. Bares ◽  
P. A. Lee
Keyword(s):  
Strong Coupling ◽  
Ground State ◽  
Correlation Functions ◽  
Strong Coupling Limit ◽  
State Correlation ◽  
One Dimensional ◽  
Exact Ground State ◽  
Emery Model ◽  
Ground State Correlation ◽  
The One

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.

EXACT GROUND STATES OF ONE-DIMENSIONAL VALENCE-BOND-SOLID HAMILTONIANS

1987 ◽  
Vol 01 (05n06) ◽  
pp. 231-237 ◽  
Author(s):  
P.L. Iske ◽  
W.J. Caspers
Keyword(s):  
Ground State ◽  
Valence Bond ◽  
Ground States ◽  
Open Chain ◽  
State Correlation ◽  
One Dimensional ◽  
Degenerate Ground State ◽  
Closed Chain ◽  
Ground State Correlation ◽  
Valence Bond Solid

The ground state(s) of a Hamiltonian, introduced by Affleck, Kennedy, Lieb and Tasaki, in connection with the Valence-Bond-Solid (VBS) states, are explicitly given for the spin-1 chains. The structure of these ground states is a rather simple one. For a closed chain we find a unique ground state; for the open chain we find a fourfold-degenerate ground state. The ground state correlation function for the ring is calculated.

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