There is growing belief that both the conventional Bose Einstein condensation (CBEC) and non-conventional Bose Einstein condensation (NBEC) can be obtained from repulsive and attractive interactions of bosons respectively. However, there is still no generally accepted model to obtain both condensates. Since results in the literature show that the Hubbard model two electron interactions has both repulsive and attractive regions depending on the interaction strength, we are considering its extension to charged bosons to investigate the possibility of obtaining the condensates from it. As a preliminary investigation, we have compared in this present study, the two electron variational Hubbard Hamiltonian with that modified for charged bosons in N = 2, N x N = 4 x 4 and N x N x N = 5 x 5 x 5 lattices. The results show only slight differences between the cases of the electrons and bosons. The implication that there is possibility of obtaining both condensates from the Hubbard model is then discussed in relation to superconductivity. Keywords: Bose Einstein condensation, superconductivity, Hubbard model, electrons, bosons Global Journal of Pure and Applied Sciences Vol. 12(1) 2006: 119-123There is growing belief that both the conventional Bose Einstein condensation (CBEC) and non-conventional Bose Einstein condensation (NBEC) can be obtained from repulsive and attractive interactions of bosons respectively. However, there is still no generally accepted model to obtain both condensates. Since results in the literature show that the Hubbard model two electron interactions has both repulsive and attractive regions depending on the interaction strength, we are considering its extension to charged bosons to investigate the possibility of obtaining the condensates from it. As a preliminary investigation, we have compared in this present study, the two electron variational Hubbard Hamiltonian with that modified for charged bosons in N = 2, N x N = 4 x 4 and N x N x N = 5 x 5 x 5 lattices. The results show only slight differences between the cases of the electrons and bosons. The implication that there is possibility of obtaining both condensates from the Hubbard model is then discussed in relation to superconductivity. Keywords: Bose Einstein condensation, superconductivity, Hubbard model, electrons, bosons Global Journal of Pure and Applied Sciences Vol. 12(1) 2006: 119-123

Global Journal of Pure and Applied SciencesJun 15, 20060 citations

Electron Hubbard Model

Subir Sachdev A

Cambridge University Press eBooksMar 24, 20230 citations

Two-site dynamical mean field theory for the dynamic Hubbard model

Giang H. Bach, J. E. Hirsch, F. Marsiglio

At zero temperature, two-site dynamical mean field theory is applied to the dynamic Hubbard model. The dynamic Hubbard model describes the orbital relaxation that occurs when two electrons occupy the same site, by using a two-level boson field at each site. At finite boson frequency, the appearance of a Mott gap is found to be enhanced even though it shows a metallic phase with the same bare on-site interaction $U$ in the conventional Hubbard model. The lack of electron-hole symmetry is highlighted through the quasiparticle weight and the single-particle density of states at different fillings, which qualitatively differentiates the dynamic Hubbard model from other conventional Hubbard-type models.At zero temperature, two-site dynamical mean field theory is applied to the dynamic Hubbard model. The dynamic Hubbard model describes the orbital relaxation that occurs when two electrons occupy the same site, by using a two-level boson field at each site. At finite boson frequency, the appearance of a Mott gap is found to be enhanced even though it shows a metallic phase with the same bare on-site interaction $U$ in the conventional Hubbard model. The lack of electron-hole symmetry is highlighted through the quasiparticle weight and the single-particle density of states at different fillings, which qualitatively differentiates the dynamic Hubbard model from other conventional Hubbard-type models.

arXiv:1008.3905Physical Review BOct 15, 201013 citations

Grounding the Hubbard Model

Anonymous

PhysicsDec 10, 20150 citations

U

in the conventional Hubbard model. The lack of electron-hole symmetry is highlighted through the quasiparticle weight and the single-particle density of states at different fillings, which qualitatively differentiates the dynamic Hubbard model from other conventional Hubbard-type models.