Physica A, Statistical and Theoretical Physics vol:95 issue:2 pages:339-350
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-S XY-model on the f.c.c. lattice for S = 1/2, 1, 3/2, 2, 3, 4, 6 and 8. Confluent singularity analyses of the fluctuation series confirm the universality hypothesis, with critical exponent gamma-1 = 1.33 +- 0.02 and correction-to-scaling exponent Delta-1 = 0.6 +- 0.2. These values also agree with the results for S = infinity.