Low temperature thermodynamics of inverse square spin models in one dimension

Details Low temperature thermodynamics of inverse square spin models in one dimension Low temperature thermodynamics of inverse square spin models in one dimension

1998-04-29

arxiv.org/abs/cond-mat/9804311v1

Eur. Phys. J. B 5, 751-756 (1998)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1007/s100510050499

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.

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