Abstract
It is shown that both the Heisenberg–Ising model and the corresponding fermion system yield the same recursion relation for the coefficients of the decomposition of any given eigenstate. The application of the Pauli exclusion principle to the latter model makes it possible to unify the treatment of the two systems. The problem is then reduced to constructing symmetric and antisymmetric Bethe wave function solutions of the recursion relation. Numerical results for the fermion system as a function of both the filling of the band and the interaction strength are presented.
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