On the RKKY range function of a one dimensional non interacting electron   gas
  We show that the pitfalls encountered in earlier calculations of the RKKY range function for a non interacting one dimensional electron gas at zero temperature can be unraveled and successfully dealt with through a proper handling of the impurity potential. 
Gabriele F. Giuliani (Purdue U.), Giovanni Vignale (U. of Missouri),   Trinanjan Datta (Purdue U.)