An investigation of the electron transfer and repulsive Coulomb interactions in the one, two-, three-dimensional isotropic Hubbard models - I: Eigenfunctions and eigenvalues
UNSPECIFIED. (1998) An investigation of the electron transfer and repulsive Coulomb interactions in the one, two-, three-dimensional isotropic Hubbard models - I: Eigenfunctions and eigenvalues. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 12 (25). pp. 2541-2563. ISSN 0217-9792Full text not available from this repository.
In this paper we investigate the Hubbard model, with S-orbits on each site, for one-, two- and three-dimensional isotropic lattices with arbitrary values of transfer and on-site repulsion parameters. The method of diagonalization is based on equivalences due to Stevens for number conserving operators and a unitary transformation utilizing permutational symmetries of the problem. We obtained simple analytical formulas for single particle eigenstates and somewhat more involved expression for determinantal multi-electron states. Numerical calculations have been performed which demonstrate the boundaries of the lowest band for various filing factors using examples in one- and two-dimensions. The states within the band have also been identified and degeneracies evaluated numerically. These computations were based on a Monte Carlo technique in conjunction with particle conservation requirements. Agreement with some well-known limiting cases has been found.
|Item Type:||Journal Article|
|Subjects:||Q Science > QC Physics|
|Journal or Publication Title:||INTERNATIONAL JOURNAL OF MODERN PHYSICS B|
|Publisher:||WORLD SCIENTIFIC PUBL CO PTE LTD|
|Official Date:||10 October 1998|
|Number of Pages:||23|
|Page Range:||pp. 2541-2563|
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