Gy. Guo et H. Ebert, FIRST-PRINCIPLES STUDY OF THE MAGNETIC HYPERFINE FIELD IN FE AND CO MULTILAYERS, Physical review. B, Condensed matter, 53(5), 1996, pp. 2492-2503
We present ab initio calculations of the magnetic hyperfine field and
magnetic moments in several Fe and Co multilayers (Fe(Co)(2)Cu-6 fcc (
001), FeCu(Ag)(5) fcc (001), bcc Fe/fcc Ag-5 (001), bcc Fe-n/fcc AU(5)
(001) (n=1,3,7), CokPd1 fee (111) [k(l)=1 (5), 2 (4), 3 (3)] and Co2P
tm fcc (111) (m=1,4,7)) as well as in bcc Fe and fee (hcp, bcc) Co. Th
e first-principles spin-polarized, relativistic linear muffin-tin orbi
tal method is used. Therefore, both the orbital and magnetic dipole co
ntributions as well as the conventional Fermi contact term are calcula
ted. Calculations have been performed for both in-plane and perpendicu
lar magnetizations. The calculated hyperfine field and its variation w
ith crystalline structure and magnetization direction in both Fe and C
o are in reasonable agreement (within 10%) with experiments. The hyper
fine field of Fe (Go) in the interface monolayers in the magnetic mult
ilayers is found to be substantially reduced compared with that in the
corresponding bulk metal, in strong contrast to the highly enhanced m
agnetic moments in the same monolayers. It is argued that the magnetic
dipole and orbital contributions to the hyperfine field are approxima
tely proportional to the so-called magnetic dipole moment and the orbi
tal moment, respectively. These linear relations are then demonstrated
to hold rather well by using the calculated non-s-electron hyperfine
fields, orbital and magnetic dipole moments. Unlike in the bulk metals
and alloys, the magnetic dipole moment in the multilayers is predicte
d to be comparable to the orbital moment and as a result, the magnetic
dipole contribution to the hyperfine field is large. The anisotropy i
n the hyperfine field is found to be very pronounced and to be strongl
y connected with the large anisotropy in the orbital moment and magnet
ic dipole moment. The induced magnetic moments and hyperfine fields in
the nonmagnetic spacer layers are also calculated. The results for th
e multilayers are compared with available experiments and previous non
relativistic calculations.