Quantum Entanglement in Ground State of Extended Hubbard Model

2019 ◽  
Vol 58 (9) ◽  
pp. 3149-3157
Author(s):  
S. Harir ◽  
A. Zouhair ◽  
Z. Boulahia ◽  
M. Kazaz ◽  
Y. Boughaleb
Keyword(s):  
Hubbard Model ◽  
Quantum Entanglement ◽  
Ground State ◽  
Extended Hubbard Model

Rigorous eta -pairing ground state in an extended Hubbard model

1995 ◽  
Vol 28 (12) ◽  
pp. 3417-3420
Author(s):  
Z J Wang ◽  
X M Qiu ◽  
X B Zhou
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
Extended Hubbard Model

GROUND STATE OF THE 2D EXTENDED HUBBARD MODEL WITH MORE THAN NEAREST-NEIGHBOR INTERACTIONS

2012 ◽  
Vol 26 (29) ◽  
pp. 1250156 ◽  
Author(s):  
S. HARIR ◽  
M. BENNAI ◽  
Y. BOUGHALEB
Keyword(s):  
Phase Diagram ◽  
Hubbard Model ◽  
Ground State ◽  
State Energy ◽  
Nearest Neighbor ◽  
Finite Size ◽  
Square Lattice ◽  
Extended Hubbard Model ◽  
Eigenvalues And Eigenvectors ◽  
Repulsion Energy

We investigate the ground state phase diagram of the two dimensional Extended Hubbard Model (EHM) with more than Nearest-Neighbor (NN) interactions for finite size system at low concentration. This EHM is solved analytically for finite square lattice at one-eighth filling. All eigenvalues and eigenvectors are given as a function of the on-site repulsion energy U and the off-site interaction energy Vij. The behavior of the ground state energy exhibits the emergence of phase diagram. The obtained results clearly underline that interactions exceeding NN distances in range can significantly influence the emergence of the ground state conductor–insulator transition.

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