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Abstract
We present a theoretical study of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in magnetic superlattices within a one-band tight-binding model. An accurate and efficient integration scheme in momentum space is introduced to calculate the RKKY exchange interaction in superlattices. This is accomplished by writing the superlattice states in terms of linear combinations of complex-band solutions in analytic form, and dividing the integration domain into many subregions according to the shape of the superlattice Fermi surface in order to take into account the singularities in one-dimensional density of states. The results are compared to those obtained from using the bulk wave functions of the spacer layer and apparent deviations due to the superlattice effect are noted.
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