Lattice vibrations At (111) and (001) surfaces of fcc transition metals by using the surface green function matching (SFGM) method

Abstract

The dispersion relations of surface phonons at (111) and (001) surfaces of fcc metals (Ni. Ag) have been obtained by applying the extension of the SGFM method to discrete systems, with nearest neighbours central interactions. The dispersion relations thus obtained agree quite well with experimental data and with those obtained by other numerical methods. The discrete SGFM method performs quite well in practice, both to obtain the secular determinant (in two alternative ways) and to obtain the surface projected mode density.