CONTINUED-FRACTION COHERENT-ANOMALY APPROACH FOR BLUME-CAPEL MODEL

The continued fraction coherent anomaly method (CAM) is applied to stu dy the criticality of the Blume-Capel model. For comparison, we presen t also the power series approach with a different way of calculating t he critical coefficients. The variation of the Curie temperature T(c) with respect to the single-ion anisotropy parameter D/J (where D is th e single-ion anisotropy and J is the nearest-neighbour exchange consta nt) is studied using both methods. The method of continued fraction CA M approach consists in expressing the high-temperature static suscepti bility series in the form of a continued fraction and subsequently in finding the roots of different order approximants, which are then used in analysing the critical data. The magnitude of confluent singularit ies has been estimated by the continued fraction CAM approach and the results are compared with those obtained from power series CAM approac h.