A major issue for first-principles theory in magnetism is the treatment of
the weak spin-orbit coupling (SOC) and its subsequent effects in magnetic t
ransition metal bulk, surfaces and multilayers. Using either a perturbative
or a self-consistent approach for SOC, we have recently investigated impor
tant phenomena such as magnetic crystalline anisotropy (MCA), magnetostrict
ion, and magneto-optical Kerr effects (MOKE) in various transition metal sy
stems using the highly precise local density full-potential linearized augm
ented plane wave (FLAPW) method. With the aid of accurate total energy and
atomic force approaches based on the LDA and GGA formalisms, the atomic str
uctures of all the surfaces and interfaces are fully relaxed. Excellent agr
eement with experiment has been achieved for most of the systems investigat
ed in terms of their equilibrium geometries, MCA energies, magnetostrictive
coefficients and MOKE spectra. (C) 1999 Elsevier Science B.V. All rights r
eserved.