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We study localized modes on a single magnetic impurity positioned in the bulkor at the surface of a one-dimensional chain, in the presence of a magneticfield $B$ acting at the impurity site. The strong on-site nonlinear interaction$U$ between two electrons of opposite spin at the impurity site, modelled hereas a nonlinear local term, and the presence of the external field induce astrong correlation between parallel and anti-parallel spin bound states. Wefind that, for an impurity in the bulk, a localized vector mode (with up anddown spin components) is always possible for any given value of $U$ and $B$,while for a surface impurity, a minimum value of both, $U$ and $B$ is needed tocreate a vector mode. In this case, up to two localized modes are possible, butonly one of them is stable. The presence of the surface seems to destabilizethe bulk mode in the parameter region U~B, creating a "forbidden strip" regionin parameter space, bounded by U=B+V and U=B-V, approximately.

Bulk and surface localized states on a magnetic nonlinear impurity