The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
tUexpansion for the Hubbard model
Abstract
We describe a unitary transformation which eliminates terms coupling states with differing numbers of doubly occupied sites from the Hamiltonian of the Hubbard model. The $S$ matrix for the transformation, and the transformed Hamiltonian, ${H}^{\ensuremath{'}}$, are generated by an iterative procedure which results in an expansion in powers of the hopping integral $t$ divided by the on-site energy $U$. For a half-filled band and in the space with no doubly occupied sites, ${H}^{\ensuremath{'}}$ is equivalent to a spin Hamiltonian. We discuss the implications of our results for ${H}^{\ensuremath{'}}$ on theories of high-temperature superconductivity.
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Cites
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Electron correlations in narrow energy bands
Hubbard, J. (1963) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1963.0204 · Cited by 6,699
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Weinstein, Y. S., Hellberg, C. S., & Levy, J. (2005) · Physical Review A · doi:10.1103/physreva.72.020304 · Cited by 59
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Metadata
- Authors
- MacDonald, A. H., Girvin, S. M., & Yoshioka, D.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1988-06-01
- Volume
- 37
- Issue
- 16
- Pages
- 9753-9756
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2064046240
- Cited by
- 494
- References
- 18
- FWCI
- 2.21
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
