We report numerical and analytic results for a model of coercivity and
magnetization reversal in an array of square monolayer-height magneti
c islands on a monolayer of magnetic material with in-plane magnetizat
ion. Reversal nucleates at step edges where local two-fold anisotropy
is present in addition to the intrinsic four-fold anisotropy of the (0
01) flat surface of a cubic crystal. Simple analytic formulas for the
coercive field are derived that agree well with numerical simulations.
(C) 1997 American Institute of Physics.