Rl. Stamps et Re. Camley, SPIN-WAVES IN ANTIFERROMAGNETIC THIN-FILMS AND MULTILAYERS - SURFACE AND INTERFACE EXCHANGE AND ENTIRE-CELL EFFECTIVE-MEDIUM THEORY, Physical review. B, Condensed matter, 54(21), 1996, pp. 15200-15209
High-quality, insulating antiferromagnetic thin and multilayers offer
possibilities for new studies of exchange mechanisms at surface and ac
ross interfaces between dissimilar magnetic materials. Using a microsc
opic theory, we study long-wavelength spin waves to answer two questio
ns: (1) Can we determine accurate values for surface and interface exc
hange from spin-wave frequencies and (2) can we obtain an effective-me
dium description which properly reproduces all the spin-wave excitatio
ns of the antiferromagnetic structure. We find that the frequencies of
surface and interface modes are particularly sensitive to interface e
xchange values, even when the spin-wave frequencies for the materials
are far apart and little coupling is expected. We also present a metho
d for calculation the dynamic magnetic response of a superlattice stru
cture that avoids a serious approximation made in conventional effecti
ve-medium theory. Our effective-medium formulation gives results in ex
cellent agreement with microscopic calculations and will be useful for
characterizing thin antiferromagnetic films as well as large multilay
ers. Susceptibilities are derived which can be directly applied to cal
culations for infrared reflectivity experiments.