CONFLUENT SINGULARITIES AND HYPERSCALING IN THE SPIN-1/2 ISING-MODEL

Using a confluent singularity analysis based on the generalised recurrence method, the series for the correlation length in terms of a dimensionless coupling constant is analysed, extending an approach of Nickel and Sharpe (1979). The results suggest that the spin-1/2 BCC Ising model satisfies hyperscaling and has the same confluent singularity structure expected for models of the (n=1, D=3) universality class.