Indirect RKKY interaction in the nearly nested Fermi liquid

The indirect RKKY interaction in a layered metal with nearly nested (almost squared) Fermi surface is evaluated analytically. The final expressions ar e obtained in closed form as a combination of Bessel functions. We show tha t the expected " 2k(F)" oscillations occur as the far asymptote of our expr essions, where the value of the effective Fermi momentum k(F) depends on th e direction in r-space. We demonstrate the existence of the intermediate as ymptote of the interaction which is of the sign-reversal antiferromagnetic type. This part of RKKY interaction is the only term surviving in the limit of exact nesting. A good agreement of our analytical formulas with numeric al findings is found until the interatomic distances. (C) 2000 Elsevier Sci ence B.V. All rights reserved.