Exact solution for the thermodynamics of the one-dimensional Hubbard model with infinite repulsion in a magnetic field

2014 ◽  
Vol 180 (1) ◽  
pp. 835-849
Author(s):  
K. A. Sidorov ◽  
N. V. Tikhonov ◽  
S. G. Ovchinnikov
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Hubbard Model ◽  
One Dimensional ◽  
The One ◽  
Infinite Repulsion

Exact solution of the one-dimensional Hubbard model in a magnetic field

1992 ◽  
Vol 46 (22) ◽  
pp. 14909-14911 ◽  
Author(s):  
Gang Su ◽  
Bao-Heng Zhao ◽  
Mo-Lin Ge
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Hubbard Model ◽  
One Dimensional ◽  
The One

Application of the Landau-Luttinger Liquid Formulation to the Study of the Magnetic Properties of the 1-D Hubbard Model

1991 ◽  
Vol 05 (01n02) ◽  
pp. 3-30 ◽  
Author(s):  
J. Carmelo ◽  
P. Horsch ◽  
P.A. Bares ◽  
A.A. Ovchinnikov
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Low Temperature ◽  
Hubbard Model ◽  
Luttinger Liquid ◽  
Liquid Formulation ◽  
One Dimensional ◽  
Spin Excitations ◽  
Arbitrary Strength ◽  
The One

The Landau-Luttinger liquid formulation is used to investigate the physics of the one-dimensional Hubbard model in a magnetic field of arbitrary strength H. The low lying charge and spin excitations are studied. A novel branch of sound wave-like spin excitations arises for H>0. The low temperature thermodynamics is considered in some detail.

scholarly journals Exact solution of the one-dimensional Hubbard model with arbitrary boundary magnetic fields

2014 ◽  
Vol 879 ◽  
pp. 98-109 ◽  
Author(s):  
Yuan-Yuan Li ◽  
Junpeng Cao ◽  
Wen-Li Yang ◽  
Kangjie Shi ◽  
Yupeng Wang
Keyword(s):  
Exact Solution ◽  
Magnetic Fields ◽  
Hubbard Model ◽  
Arbitrary Boundary ◽  
One Dimensional ◽  
The One

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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