Abstract
The ground-state properties of the one-dimensional Hubbard model at half-filling in the presence of magnetic field are examined using the generalized mean-field approximation (GMF), which includes both the spin-density and the electron-hole correlations on an equal footing. The GMF results for the ground-state energy, the electron-hole excitation gap, the magnetization and the susceptibility are compared in one dimension with the exact ones. The GMF approach provides insight into both the magnetism and the Mott—Hubbard localization in the presence of applied field. The numerical results for the ground-state energy, the local moment, the kinetic energy and the number of double occupied sites are overall in good agreement with the exact results. The generalized mean-field formalism allows to separate the single-particle excitations from antiferromagnetic order parameter at relatively large magnetic field.
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