Using a model of an open spin chain that is exactly soluble by means of a Bethe ansatz, we study the effects of a boundary magnetic field and an impurity spin coupled to the chain. An impurity spin only scatters forward, while the boundary is purely a back-scatterer. Two parameters for the impurity and one for the boundary permit us to mimic the effect of real magnetic impurity, with both forward and backward scattering.
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Frahm et al. (1997) studied this question.
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