Abstract
The presence of the boundary in the semi-infinite antiferromagnetic chain is shown to produce spatial oscillations of the local magnetization. A Green function technique is used to obtain the exact from of these Friedel-type oscillations within the spin 1 2 XY model. It is shown that a non-zero external magnetic field is the necessary condition for the oscillating behavior of the local magnetization. Comparison is made with an earlier treatment of the infinite chain with a weak perturbation potential.
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