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

R. Dekeyser, A.J. Guttmann, J. Rogiers and I. van Hoovels

Physica A: Statistical Mechanics and its Applications, 1979, vol. 95, issue 2, 339-350

Abstract: 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 = ∞.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:95:y:1979:i:2:p:339-350

DOI: 10.1016/0378-4371(79)90059-1

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