Abstract
We report a detailed study of twelve-term, high-temperature series for the second moment of spin-pair correlations and the specific heat of the nearest-neighbor spin- Ising model in zero magnetic field on the fcc lattice. Near criticality we find , {}, showing a confluent correction to the dominant scaling singularity. To within uncertainties the exponents have the universal (i.e., spin-independent) values (with ) and . The confluent exponent is in reasonable agreement with the correction-to-scaling index derived from earlier analysis of the susceptibility, as predicted by renormalization-group arguments. A similar analysis of the specific heat for the same model finds no detectable confluent singularities in rather noisy, high-temperature series and gives in general confirmation of earlier estimates. With as quoted above the hyperscaling relation at requires so the validity of hyperscaling remains problematical.
- Received 12 April 1976
DOI:https://doi.org/10.1103/PhysRevB.14.3990
©1976 American Physical Society