EXACT GROUND-STATE PROPERTIES OF ONE-DIMENSIONAL HUBBARD MODEL IN THE PRESENCE OF MAGNETIC FIELD

1999 ◽  
Vol 13 (29n31) ◽  
pp. 3573-3578
Author(s):  
C. Yang ◽  
A. N. Kocharian ◽  
Y. L. Chiang
Keyword(s):  
Magnetic Field ◽  
Hubbard Model ◽  
Ground State ◽  
Interaction Strength ◽  
Magnetic Saturation ◽  
One Dimensional ◽  
Ground State Properties ◽  
Wide Range ◽  
Average Spin ◽  
The One

The exact phase diagram and the ground-state properties of the one-dimensional Hubbard model with arbitrary on-site interaction of electrons are calculated over a wide range of magnetic field and electron concentrations by means of the Bethe-ansatz formalism. The ground-state properties, including the total energy, the average spin (magnetization) and spin (magnetic) susceptibility are investigated for both signs of the interaction strength U/t. The critical behavior near the onset of magnetization and magnetic saturation are also analyzed. At the onset of magnetization and near the magnetic saturation the spin susceptibility χ diverges at all U/t for half-filling case n=1, whereas for n≠1 it is always finite. The reverse susceptibility χ-1(U) exhibits anomalous hump, which increases with h or n, and shows discontinuity as U/t→±0 at infinitesimal h→0. The analytical results for the ground-state properties in strong and weak interaction limits are in full agreement with our numerical calculations.

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.

BOSE CONDENSATION AND ELECTRON PAIRING IN ONE-DIMENSIONAL HUBBARD MODEL

1999 ◽  
Vol 13 (29n31) ◽  
pp. 3538-3545 ◽  
Author(s):  
A. N. Kocharian ◽  
C. Yang ◽  
Y. L. Chiang
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
Energy Gap ◽  
Interaction Strength ◽  
Quantitative Agreement ◽  
Bose Condensation ◽  
Antiferromagnetic Order ◽  
One Dimensional ◽  
Ground State Properties ◽  
Wide Range

The ground-state properties in one-dimensional Hubbard model with on-site attraction and repulsion of electrons in the presence of magnetic field h are calculated by means of the exact Bethe-ansatz formalism and the generalized self-consistent field (GSCF) approach for general electron concentrations n and arbitrary interaction strength. The ground-state properties, including the energy, the average spin (magnetization) and the kinetic energy are compared over a wide range of parameter space. The GSCF theory is in qualitative and in some cases in good quantitative agreement with the exact results. The GSCF theory at U≤0 (or U≥0) differentiates the spin (or charge) energy gap from the BCS (or antiferromagnetic) order parameter and suggests a smooth crossover from the phase with the itinerant BCS-like behavior to the Bose condensation regime of the local pairs.

scholarly journals Ground-state properties of the one-dimensional attractive Hubbard model with confinement: A comparative study

2010 ◽  
Vol 82 (1) ◽  
Author(s):  
Ji-Hong Hu ◽  
Jing-Jing Wang ◽  
Gao Xianlong ◽  
Masahiko Okumura ◽  
Ryo Igarashi ◽  
...  
Keyword(s):  
Comparative Study ◽  
Hubbard Model ◽  
Ground State ◽  
One Dimensional ◽  
Ground State Properties ◽  
Attractive Hubbard Model ◽  
The One

scholarly journals Ground-state properties of the one-dimensional unconstrained pseudo-anyon Hubbard model

2017 ◽  
Vol 95 (5) ◽  
Author(s):  
Wanzhou Zhang ◽  
Sebastian Greschner ◽  
Ernv Fan ◽  
Tony C. Scott ◽  
Yunbo Zhang
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
One Dimensional ◽  
Ground State Properties ◽  
The One

scholarly journals Ground-state properties of the one-dimensional Hubbard model with pairing potential

2020 ◽  
pp. 412665
Author(s):  
Myung-Hoon Chung ◽  
Edmond Orignac ◽  
Didier Poilblanc ◽  
Sylvain Capponi
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
One Dimensional ◽  
Ground State Properties ◽  
The One ◽  
Pairing Potential

QUANTUM MONTE CARLO STUDY OF THE GROUND-STATE PROPERTIES OF A FERMI GAS IN THE BCS-BEC CROSSOVER

2006 ◽  
Vol 20 (30n31) ◽  
pp. 5189-5198
Author(s):  
S. GIORGINI ◽  
G. E. ASTRAKHARCHIK ◽  
J. BORONAT ◽  
J. CASULLERAS
Keyword(s):  
Monte Carlo ◽  
Density Matrix ◽  
Ground State ◽  
Interaction Strength ◽  
Fermi Gas ◽  
Unitary Limit ◽  
Body Density ◽  
Ground State Properties ◽  
Wide Range ◽  
The One

The ground-state properties of a two-component Fermi gas with attractive short-range interactions are calculated using the fixed-node diffusion Monte Carlo method. The interaction strength is varied over a wide range by tuning the value a of the s-wave scattering length of the two-body potential. We calculate the energy per particle, the one- and two-body density matrix as a function of the interaction strength. Results for the momentum distribution of the atoms, as obtained from the Fourier transform of the one-body density matrix, are reported as a function of the interaction strength. Off-diagonal long-range order in the system is investigated through the asymptotic behavior of the two-body density matrix. The condensate fraction of pairs is calculated in the unitary limit and on both sides of the BCS-BEC crossover.

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