  Surface magnetic properties of the pseudomorphic Fe(110) monolayer on a
W(110) substrate are investigated from first principles as a function of the
substrate thickness (up to eight layers). Analyzing the magnetocrystalline
anisotropy energies, we find stable (with respect to the number of substrate
layers) in-plane easy and hard axes of magnetization along the [1[overline 1]0]
and [001] directions, respectively, reaching a value in good agreement with
experiment for thick substrates. Additionally, the changes to the magnetic spin
moments and the density of the Fe d states are analyzed with respect to the
number of substrate layers as well as with respect to the direction of
magnetization. With respect to the number of W(110) substrate layers beneath
the Fe(110) surface, we find that the first four substrate layers have a large
influence on the electronic and magnetic properties of the surface. Beyond the
fourth layer, the substrate has only marginal influence on the surface
properties.
