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1994 | 85 | 2 | 329-335
Article title

A Pairwise Approximation in the Hubbard Model

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EN
Abstracts
EN
The Hubbard Hamiltonian is projected onto a representation consisting of electron pairs characterised by the momentum of their centre of mass. Within this approximation the electron gas can be viewed as a collection of subsets, each of which contains a constant number of electron pairs, all having the same centre of mass momentum. As these subsets are decoupled, the Hubbard Hamiltonian is diagonalised to give two types of many-body eigenstates: correlated and uncorrelated. The uncorrelated pairs build up an ideal Fermi gas. Excellent agreement is found for the uncorrelated energy calculated at zero temperature in one dimension between this model and the Bethe ansatz, for arbitrary electron concentration and magnitude of the electron interaction. The correlated states turn out to be of the BCS type.
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EN
Publisher

Year
Volume
85
Issue
2
Pages
329-335
Physical description
Dates
published
1994-02
Contributors
author
  • C.E. Saclay, LLB (CEA-CNRS)/DRECAM, 91191, Gif-sur-Yvette, Cedex, France
References
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Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv85z219kz
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