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Finite Chains with Quantum Affine Symmetries
We consider an extension of the (t-U) Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional open chain with L sites (4^L states) and derive the effective Hamiltonian in the strong repulsion (large U) regime. This Ha...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
1994
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1142/S0217751X94001370 http://cds.cern.ch/record/252149 |
_version_ | 1780885606072582144 |
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author | Alcaraz, F.C. Arnaudon, D. Rittenberg, V. Scheunert, M. |
author_facet | Alcaraz, F.C. Arnaudon, D. Rittenberg, V. Scheunert, M. |
author_sort | Alcaraz, F.C. |
collection | CERN |
description | We consider an extension of the (t-U) Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional open chain with L sites (4^L states) and derive the effective Hamiltonian in the strong repulsion (large U) regime. This Hamiltonian acts on 3^L states. We show that the spectrum of the latter Hamiltonian (not the degeneracies) coincides with the spectrum of the anisotropic Heisenberg chain (XXZ model) in the presence of a Z field (2^L states). The wave functions of the 3^L-state system are obtained explicitly from those of the 2^L-state system, and the degeneracies can be understood in terms of irreducible representations of U_q(\hat{sl(2)}). |
id | cern-252149 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1994 |
record_format | invenio |
spelling | cern-2521492023-03-12T06:04:51Zdoi:10.1142/S0217751X94001370http://cds.cern.ch/record/252149engAlcaraz, F.C.Arnaudon, D.Rittenberg, V.Scheunert, M.Finite Chains with Quantum Affine SymmetriesGeneral Theoretical PhysicsWe consider an extension of the (t-U) Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional open chain with L sites (4^L states) and derive the effective Hamiltonian in the strong repulsion (large U) regime. This Hamiltonian acts on 3^L states. We show that the spectrum of the latter Hamiltonian (not the degeneracies) coincides with the spectrum of the anisotropic Heisenberg chain (XXZ model) in the presence of a Z field (2^L states). The wave functions of the 3^L-state system are obtained explicitly from those of the 2^L-state system, and the degeneracies can be understood in terms of irreducible representations of U_q(\hat{sl(2)}).We consider an extension of the (t-U) Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional open chain with L sites (4~L states) and derive the effective Hamiltonian in the strong repulsion (large U) regime. This Hamiltonian acts on 3~L states. We show that the spectrum of the latter Hamiltonian (not the degeneracies) coincides with the spectrum of the anisotropic Heisenberg chain (XXZ model) in the presence of a Z field (2~L states). The wave functions of the 3~L-state system are obtained explicitly from those of the 2~L-state system, and the degeneracies can be understood in terms of irreducible representations of U_q(\hat{sl(2)}).hep-th/9307103CERN-TH-6935-93CERN-TH-6935-93oai:cds.cern.ch:2521491994 |
spellingShingle | General Theoretical Physics Alcaraz, F.C. Arnaudon, D. Rittenberg, V. Scheunert, M. Finite Chains with Quantum Affine Symmetries |
title | Finite Chains with Quantum Affine Symmetries |
title_full | Finite Chains with Quantum Affine Symmetries |
title_fullStr | Finite Chains with Quantum Affine Symmetries |
title_full_unstemmed | Finite Chains with Quantum Affine Symmetries |
title_short | Finite Chains with Quantum Affine Symmetries |
title_sort | finite chains with quantum affine symmetries |
topic | General Theoretical Physics |
url | https://dx.doi.org/10.1142/S0217751X94001370 http://cds.cern.ch/record/252149 |
work_keys_str_mv | AT alcarazfc finitechainswithquantumaffinesymmetries AT arnaudond finitechainswithquantumaffinesymmetries AT rittenbergv finitechainswithquantumaffinesymmetries AT scheunertm finitechainswithquantumaffinesymmetries |