Js. Helman et W. Baltensperger, ROLE OF BOUND-STATES OF MAGNETIC LAYERS IN THE THEORY OF MULTILAYER INTERACTION, Physical review. B, Condensed matter, 53(1), 1996, pp. 275-282
Using planar Dirac delta functions to describe the coupling of magneti
c layers to an electron gas, the interaction between the layers is cal
culated. Both the bound and free states give contributions which are s
haped by the range of the bound states. Due to a remarkable cancellati
on of terms the combined result does not show this shape. In fact, it
differs appreciably from the weak-coupling limit only when the binding
energy of the bound states is comparable or larger than the Fermi ene
rgy.