Coherent anomalies and critical singularities of the generalized Ising model

The critical behaviour of the generalized Ising model is studied using the power series coherent anomaly method. We work with the eleven-terms susceptibility series of Oitmaa and Enting. Taking the inverse of this series and studying the coherent anomalies we arrived at the results for Curie temperature Tc and the susceptibility exponent γ. The variation of Tc against η has been found to be continuous, while the variation of γ against η has been found to have the discontinuity at η = 0 in agreement with the prediction of earlier authors but in contradiction with the result of apparent continuous variation as obtained from the Padé approximant analysis.