On the derivation and analysis of the spin S XY-model susceptibility series expansions

We have derived 10th order series expansions for the free energy and 9th order ones for the fluctuation of the order parameter in the spin-SXY-model on the f.c.c. lattice for S = 12, 1, 32, 2, 3, 4, 6 and 8. Confluent singularity analyses of the fluctuation series confirm the universality hypothesis, with critical exponent γ1 = 1.33±0.02 and correction-to-scaling exponent Δ1 = 0.6±0.2. These values also agree with the results for S = ∞.

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Year of publication:	1979
Authors:	Dekeyser, R. ; Guttmann, A.J. ; Rogiers, J. ; van Hoovels, I.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 95.1979, 2, p. 339-350
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011058269