Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-07-15
Int. Jour. Mod. Phys. A, Vol. 9 No. 19 (1994)
Physics
High Energy Physics
High Energy Physics - Theory
31pp, Latex, CERN-TH.6935/93. To app. in Int. Jour. Mod. Phys. A. (The title of the paper is changed. This is the ONLY change.
Scientific paper
10.1142/S0217751X94001370
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)}).
Alcaraz Francisco Castilho
Arnaudon Daniel
Rittenberg Vladimir
Scheunert M.
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