Low temperature thermodynamics of inverse square spin models in one dimension

Abstract

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.

arXiv comment6 pages, 3 eps figures, to appear in Eur. Phys. J. B (1998)

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