Anisotropic surface-state-mediated RKKY interaction between adatoms
Paul N. Patrone, T L. Einstein
Motivated by recent numerical studies of Ag on Pt(111), we derive a far-field expression for the RKKY interaction mediated by surface states on a (111) FCC surface. The main contribution to the interaction comes from electrons whose Fermi velocity is parallel to the vector connecting the interacting adatoms. The interaction is oscillatory; the amplitude and wavelength of oscillations have angular dependence, which is directly related to the anisotropy of the surface state dispersion relation.