Abstract
A Green's function formalism is used to calculate the localised states
associated with a magnetic impurity in a ferromagnet described by the
transverse Ising model. We consider both the cases of an infinite medium
with an impurity and a semi-infinite medium with an impurity in the Nth layer (N = 1, 2...) from the free surface. The non-resonant excitations
of the system due to the impurity (i.e., the `defect modes' outside the
region of the bulk and surface spin waves) are calculated numerically
for the high-temperature phase. Three situations are analysed, depending
on the position of the impurity site: the impurity is in the surface (N = 1), the impurity is just below the surface (N = 2) and the impurity is
in the bulk region (N greater than or equal to 3). (C) 1998 Elsevier
Science B.V. All rights reserved.
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