$XXZ$ model as effective Hamiltonian for generalized Hubbard models with broken $η$-symmetry

Physics – Condensed Matter

Scientific paper

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Results of previous version are generalized, new title, references added. 10 pages, Latex, no figures

Scientific paper

10.1088/0305-4470/28/10/004

We consider the limit of strong Coulomb attraction for generalized Hubbard models with $\eta$-symmetry. In this limit these models are equivalent to the ferromagnetic spin-1/2 Heisenberg quantum spin chain. In order to study the behaviour of the superconducting phase in the electronic model under perturbations which break the $\eta$-symmetry we investigate the ground state of the ferromagnetic non-critical $XXZ$-chain in the sector with fixed magnetization. It turns out to be a large bound state of $N$ magnons. We find that the perturbations considered here lead to the disappearance of the off-diagonal longe-range order.

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