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 correlatio . . .

Ground-state properties of the attractive Hubbard model in one dimension are studied by means of both the exact Bethe-ansatz formalism and the self-consistent field (SCF) approach with renormalized chemical potential for general band fillings n and a . . .

The ground-state (GS) properties of the one-dimensional (1D) Hubbard model at half-filling are examined in the presence of a magnetic field using the generalized mean-field (GMF) approach, which includes the spin-density and the electron-hole correlat . . .

The accurate analytical and numerical calculations of the electronic band structure and ground state properties of strongly correlated electrons within the Hubbard model are performed by constructing convergent perturbation theory for general interact . . .

The ground-state characteristics of mesoscopic Hubbard clusters in the high-spin region are investigated as a function of cluster dimensions, lattice geometry and electron interaction in response to an applied transverse magnetic "normal to the surfac . . .

The ground-state energy, the concentration of double occupied sites and the density of bound electron pairs in low-dimensional attractive Hubbard model are calculated by means of the generalized self-consistent field (GSCF) approach. This approach giv . . .

The generalized self-consistent field (GSCF) theory for the one-dimensional repulsive Hubbard model at half-filling is examined in the presence of magnetic field h in wide range of interaction strength U / t . The evolution of the energy gap in the pr . . .

The exact phase diagrams of the one-dimensional Hubbard model, both attractive and repulsive, in the presence of an arbitrary magnetic field h for various electron concentrations n and on-site interaction strengths U < 0 or U > 0 are calculated and in . . .

The shortcomings and advantages of the generalized self-consistent field (GSCF) approach, which includes the electron–hole order parameter and the average spin s within the one-dimensional repulsive Hubbard model, are analyzed by comparison of the gro . . .

The exact numerical diagonalization and thermodynamics in an ensemble of small Hubbard clusters in the ground state and finite temperatures reveal intriguing insights into the nascent charge and spin pairings, Bose condensation and ferromagnetism in n . . .