https://doi.org/10.1007/s100510050499
Low temperature thermodynamics of inverse square spin models in one dimension*
1
Theoretische Physik III, Universität Augsburg,
86135 Augsburg, Germany
2
Sektion Physik,
Ludwig-Maximilians-Universität München, Theresienstrasse 37, 80333
München, Germany
Corresponding author: a hofstett@physik.uni-augsburg.de
Received:
20
February
1998
Revised:
27
April
1998
Accepted:
30
April
1998
Published online: 15 October 1998
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
with 
and 
.
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
