W. Baltensperger et Js. Helman, RUDERMAN-KITTEL INTERACTION IN ONE-DIMENSION FOR ARBITRARY COUPLING-CONSTANT, Physical review. B, Condensed matter, 54(1), 1996, pp. 59-60
The Ruderman-Kittel interaction in one dimension is presented for an a
rbitrary coupling constant, as a by-product of previous considerations
for a problem with planar symmetry in three dimensions. For coupling
constants which are smaller than or even comparable to the Fermi energ
y, the interaction oscillates as a function of distance Like the pertu
rbation result, however, with a reduced amplitude. The interaction bet
ween two parallel magnetic lines in two dimensions is also discussed.