dorsal/arxiv
View SchemaThe Quantum Inverse Scattering Method for Hubbard-like Models
| Authors | M. J. Martins, P. B. Ramos |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9712014 |
| URL | https://arxiv.org/abs/solv-int/9712014 |
| DOI | 10.1016/S0550-3213(98)00199-0 |
Abstract
This work is concerned with various aspects of the formulation of the quantum inverse scattering method for the one-dimensional Hubbard model. We first establish the essential tools to solve the eigenvalue problem for the transfer matrix of the classical ``covering'' Hubbard model within the algebraic Bethe Ansatz framework. The fundamental commutation rules exhibit a hidden 6-vertex symmetry which plays a crucial role in the whole algebraic construction. Next we apply this formalism to study the SU(2) highest weights properties of the eigenvectors and the solution of a related coupled spin model with twisted boundary conditions. The machinery developed in this paper is applicable to many other models, and as an example we present the algebraic solution of the Bariev XY coupled model.
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"abstract": "This work is concerned with various aspects of the formulation of the quantum\ninverse scattering method for the one-dimensional Hubbard model. We first\nestablish the essential tools to solve the eigenvalue problem for the transfer\nmatrix of the classical ``covering\u0027\u0027 Hubbard model within the algebraic Bethe\nAnsatz framework. The fundamental commutation rules exhibit a hidden 6-vertex\nsymmetry which plays a crucial role in the whole algebraic construction. Next\nwe apply this formalism to study the SU(2) highest weights properties of the\neigenvectors and the solution of a related coupled spin model with twisted\nboundary conditions. The machinery developed in this paper is applicable to\nmany other models, and as an example we present the algebraic solution of the\nBariev XY coupled model.",
"arxiv_id": "solv-int/9712014",
"authors": [
"M. J. Martins",
"P. B. Ramos"
],
"categories": [
"solv-int",
"cond-mat",
"hep-th",
"nlin.SI"
],
"doi": "10.1016/S0550-3213(98)00199-0",
"title": "The Quantum Inverse Scattering Method for Hubbard-like Models",
"url": "https://arxiv.org/abs/solv-int/9712014"
},
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