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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...

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Detalles Bibliográficos
Autores principales: Alcaraz, F.C., Arnaudon, D., Rittenberg, V., Scheunert, M.
Lenguaje:eng
Publicado: 1994
Materias:
Acceso en línea:https://dx.doi.org/10.1142/S0217751X94001370
http://cds.cern.ch/record/252149
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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
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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