Integrable variant of the one-dimensional Hubbard model

Guan, X. W., Foerster, A., Links, J. R., Zhou, H., Tonel, A. P. and McKenzie, R. H. (2002) Integrable variant of the one-dimensional Hubbard model. Journal of Mathematical Physics, 43 7: 3445-3457. doi:10.1063/1.1481956

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Author Guan, X. W.
Foerster, A.
Links, J. R.
Zhou, H.
Tonel, A. P.
McKenzie, R. H.
Title Integrable variant of the one-dimensional Hubbard model
Journal name Journal of Mathematical Physics
ISSN 0022-2488; 9922-2488
Publication date 2002-01-01
Sub-type Article (original research)
DOI 10.1063/1.1481956
Open Access Status File (Publisher version)
Volume 43
Issue 7
Start page 3445
End page 3457
Total pages 13
Editor R.G. Newton
Place of publication Melville
Publisher American Institute of Physics
Language eng
Subject C1
230199 Mathematics not elsewhere classified
780101 Mathematical sciences
Abstract A new integrable model which is a variant of the one-dimensional Hubbard model is proposed. The integrability of the model is verified by presenting the associated quantum R-matrix which satisfies the Yang-Baxter equation. We argue that the new model possesses the SO(4) algebra symmetry, which contains a representation of the eta-pairing SU(2) algebra and a spin SU(2) algebra. Additionally, the algebraic Bethe ansatz is studied by means of the quantum inverse scattering method. The spectrum of the Hamiltonian, eigenvectors, as well as the Bethe ansatz equations, are discussed. (C) 2002 American Institute of Physics.
Keyword Physics, Mathematical
T-j Model
Algebraic Bethe-ansatz
Inverse Scattering Method
Exactly Solvable Model
Free-fermion Model
Correlated Electrons
Lax Pair
Q-Index Code C1

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Created: Wed, 15 Aug 2007, 03:06:15 EST