Layer Projected Magnetic Moments of Atoms of a Rough Surface

We use a pair of coupled continuum equations to generate a rough surface which models molecular beam epitaxy. Using these equations, we generate a rough Fe surface on Ag substrate. We then use the Recursion method coupled with the tight binding linear muffin tin orbital method (TB-LMTO) for the density of states and magnetic moments of different atoms having curvature on the rough surface. We also calculate the magnetic moments of atoms of different layers below the surface atoms. We observe that the magnetic moments of atoms on the rough surface varies with the local curvature but for the atoms of sub-surface layers, the dependence is not prominent. (author)