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Completeness of “good” Bethe ansatz solutions of a quantum-group-invariant Heisenberg model

Guido Jüttner, M. Karowski

arXiv:hep-th/9406183Nuclear Physics BNov 1, 199421 citations

Bethe Ansatz for the 1D Hubbard model: from the finite lattice to the thermodynamic limit

Pedro S. Goldbaum

Bulletin of the American Physical SocietyMar 24, 20050 citations

A Note on the Bethe Ansatz Solution of the Supersymmetric t-J Model

Frank Göhmann, Alexander Seel

arXiv:cond-mat/0309138Czechoslovak Journal of PhysicsNov 1, 200326 citations

Bethe Ansatz and thermodynamic limit of affine quantum group invariant extensions of the t–J model

Jan Ambjørn A, A. Avakyan, Tigran Hakobyan +1 more

We have constructed a one-dimensional exactly solvable model, which is based on the t–J model of strongly correlated electrons, but which has additional quantum group symmetry, ensuring the degeneration of states. We use Bethe Ansatz technique to investigate this model. The thermodynamic limit of the model is considered and equations for different density functions written down. These equations demonstrate that the additional color degrees of freedom of the model behave as in a gauge theory, namely, an arbitrary distribution of color indices over particles leave invariant the energy of the ground state and the excitations. The S-matrix of the model is shown to be the product of the ordinary t–J model S-matrix and the unity matrix in the color space.We have constructed a one-dimensional exactly solvable model, which is based on the t–J model of strongly correlated electrons, but which has additional quantum group symmetry, ensuring the degeneration of states. We use Bethe Ansatz technique to investigate this model. The thermodynamic limit of the model is considered and equations for different density functions written down. These equations demonstrate that the additional color degrees of freedom of the model behave as in a gauge theory, namely, an arbitrary distribution of color indices over particles leave invariant the energy of the ground state and the excitations. The S-matrix of the model is shown to be the product of the ordinary t–J model S-matrix and the unity matrix in the color space.

arXiv:cond-mat/9802204Journal of Mathematical PhysicsNov 1, 19992 citations

Thermodynamic Bethe ansatz, sine-Gordon theory and minimal models

H. Itoyama, Peter Moxhay

Jan 1, 19900 citations

Bethe Ansatz and Thermodynamic Limit of Affine Quantum Group Invariant Extensions of the t-J Model 1

Jan Ambjørn A

NBI-HE-98-04 We have constructed a one dimensional exactly solvable model, which is based on the t-J model of strongly correlated electrons, but which has additional quantum group symmetry, ensuring the degeneration of states. We use Bethe Ansatz technique to investigate this model. The thermodynamic limit of the model is considered and equations for different density functions written down. These equations demonstrate that the additional colour degrees of freedom of the model behave as in a gauge theory, namely an arbitrary distribution of colour indices over particles leave invariant the energy of the ground state and the excitations. The S-matrix of the model is shown to be the product of the ordinary t − J model S-matrix and the unity matrix in the colour space. 1NBI-HE-98-04 We have constructed a one dimensional exactly solvable model, which is based on the t-J model of strongly correlated electrons, but which has additional quantum group symmetry, ensuring the degeneration of states. We use Bethe Ansatz technique to investigate this model. The thermodynamic limit of the model is considered and equations for different density functions written down. These equations demonstrate that the additional colour degrees of freedom of the model behave as in a gauge theory, namely an arbitrary distribution of colour indices over particles leave invariant the energy of the ground state and the excitations. The S-matrix of the model is shown to be the product of the ordinary t − J model S-matrix and the unity matrix in the colour space. 1

Jan 1, 19982 citations

Bethe Ansatz and thermodynamic limit of affine quantum group invariant extensions of the t-J model

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Bethe Ansatz and thermodynamic limit of affine quantum group invariant extensions of the t-J model

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