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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 5 Issue 3 (1998) pp 751-756
Low temperature thermodynamics of inverse square spin models in one dimension
W. Hofstetter (1) (a), W. Zwerger (2)
(1) Theoretische Physik III, Universität Augsburg, 86135 Augsburg, Germany
(2) Sektion Physik, Ludwig-Maximilians-Universität München, Theresienstrasse 37, 80333 München, Germany
Received: 20 February 1998 / Revised: 27 April 1998 / Accepted: 30 April 1998
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.
PACS. 75.10.Hk Classical spin models - 75.10.Jm Quantized spin models
(a) email: hofstett@physik.uni-augsburg.de
Article in PDF format (318 KB)
Online publication: October 26, 1998
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