Integrable variant of the one-dimensional Hubbard model

X. W. Guan; A. Foerster; J. Links; H. Q. Zhou; A. Prestes Tonel; R. H. McKenzie

doi:10.1063/1.1481956

Integrable variant of the one-dimensional Hubbard model

X. W. Guan^*, A. Foerster, J. Links, H. Q. Zhou, A. Prestes Tonel, R. H. McKenzie

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 η-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.

Original language	English
Pages (from-to)	3445-3457
Number of pages	13
Journal	Journal of Mathematical Physics
Volume	43
Issue number	7
DOIs	https://doi.org/10.1063/1.1481956
Publication status	Published - 1 Jul 2002
Externally published	Yes

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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 η-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.",

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AU - Guan, X. W.

AU - Foerster, A.

AU - Links, J.

AU - Zhou, H. Q.

AU - Prestes Tonel, A.

AU - McKenzie, R. H.

PY - 2002/7/1

Y1 - 2002/7/1

N2 - 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 η-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.

AB - 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 η-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.

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JF - Journal of Mathematical Physics

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Integrable variant of the one-dimensional Hubbard model

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