The scaling behaviour of the thickness evolution of ferromagnetism in singl
e crystal Fe films on GaAs(100)-4 x 2 and InAs(100)-4 x 2, grown by molecul
ar beam epitaxy, have been studied. In both systems there is a superparamag
netic-ferromagnetic transition whose onset occurs around 4.5 monolayers (ML
) Fe. The susceptibility around the transition follows a scaling behaviour;
chi similar to (1 - d/d(c))(-gamma) with gamma = 2.13 +/- 0.30 for Fe/GaAs
and gamma = 2.21 +/- 0.25 for Fe/InAs, suggesting the 2D percolation of cl
usters. (C) 1999 Elsevier Science S.A. All rights reserved.