Vi. Litvinov et Vk. Dugaev, RKKY INTERACTION IN ONE-DIMENSIONAL AND 2-DIMENSIONAL ELECTRON GASES, Physical review. B, Condensed matter, 58(7), 1998, pp. 3584-3585
The one-loop diagram calculation of the Ruderman-Kittel-Kasuya-Yosida
exchange interaction in one and two dimensions is done. The method all
ows us to handle correctly the nonanalytical behavior of the integrand
in the range function in the one-dimensional electron gas.