Dimerized ground state in the one-dimensional spin-1 boson Hubbard model

2006 ◽  
Vol 74 (3) ◽  
Author(s):  
Vesa Apaja ◽  
Olav F. Syljuåsen
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
One Dimensional ◽  
The One ◽  
Boson Hubbard Model

scholarly journals Exact study of the one-dimensional boson Hubbard model with a superlattice potential

2006 ◽  
Vol 73 (17) ◽  
Author(s):  
V. G. Rousseau ◽  
D. P. Arovas ◽  
M. Rigol ◽  
F. Hébert ◽  
G. G. Batrouni ◽  
...  
Keyword(s):  
Hubbard Model ◽  
One Dimensional ◽  
The One ◽  
Boson Hubbard Model

THE EFFECT OF A BOND-SITE INTERACTION ON THE GROUND-STATE INSTABILITIES OF THE ONE-DIMENSIONAL HUBBARD MODEL

1995 ◽  
Vol 09 (12) ◽  
pp. 1503-1514 ◽  
Author(s):  
F.D. BUZATU
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
Temperature Phase ◽  
Zero Temperature ◽  
Perturbative Approach ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Low Concentrations ◽  
The One ◽  
Temperature Phase Diagram

The ground-state instabilities for a one-dimensional lattice system of electrons with onsite (Hubbard) and bond-site (hopping) interactions are analyzed in a perturbative approach. The zero temperature phase diagram at different band fillings is drawn; an attractive (repulsive) bond-site interaction favors the appearance of a superconductor state at low concentrations of electrons (holes). A comparison with the exact results for the Hubbard model and previous works for particular cases is also discussed.

scholarly journals Exact Ground-State Properties and Phase Transitions within One-dimensional Hubbard Model in Magnetic Field

2000 ◽  
Vol 14 (29n31) ◽  
pp. 3771-3776
Author(s):  
C. Yang ◽  
A. N. Kocharian ◽  
Y. L. Chiang
Keyword(s):  
Magnetic Field ◽  
Hubbard Model ◽  
Ground State ◽  
Chemical Potential ◽  
Interaction Strength ◽  
Upper And Lower Bounds ◽  
One Dimensional ◽  
Ground State Properties ◽  
Half Filling ◽  
The One

The phase diagram, the Bethe-ansatz ground-state properties, including the chemical potential μ, the spin (magnetic) and charge susceptibilities, are calculated within the one-dimensional Hubbard model in entire range of interaction strength (-∞< U/t<+∞), magnetic field (h≥ 0) and all electron concentrations (0≤n≤1). The continuous and smooth variation of μ with n and h in the vicinity of n=1 points on the gapless character of charge excitations at U<0 and provides rigorous upper and lower bounds for μ. The spin (magnetic) susceptability χ at half-filling changes discontinuously as U→0 and is strongly enhanced by electron repulsion, comparing with that of the non-interactig case. The compressibility κ ch increases with n at U<0 and shows non-monotonous behavior with a dramatic increase at U>0. Variations of κ ch -1 in both repulsive and attractive cases qualitatively well reproduces corresponding behavior of charge stiffness.

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