Low temperature thermodynamics of inverse square spin models in one   dimension
  We present a field-theoretic renormalization group calculation in two loop order for classical O(N)-models with an inverse square interaction in the vicinity of their lower critical dimensionality one. The magnetic susceptibility at low temperatures is shown to diverge like $T^{-a} \exp(b/T)$ with $a=(N-2)/(N-1)$ and $b=2\pi^2/(N-1)$. From a comparison with the exactly solvable Haldane-Shastry model we find that the same temperature dependence applies also to ferromagnetic quantum spin chains. 
W. Hofstetter (Universitaet Augsburg) and W. Zwerger   (Ludwig-Maximilians-Universitaet Muenchen)