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An investigation of the electron transfer and repulsive Coulomb interactions in the one, two-, three-dimensional isotropic Hubbard models - I: Eigenfunctions and eigenvalues
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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 0217-9792
Full text not available from this repository.Abstract
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 |
| ISSN: | 0217-9792 |
| Date: | 10 October 1998 |
| Volume: | 12 |
| Number: | 25 |
| Number of Pages: | 23 |
| Page Range: | pp. 2541-2563 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/15142 |
Data sourced from Thomson Reuters' Web of Knowledge
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