THE COHERENT ANOMALY METHOD IN THE STUDYING OF THE S=1 ISING CHAINS WITH LONG-RANGE INTERACTION

The coherent anomaly method and a cluster mean-field approach combined with fmite-size scaling extrapolation were used to determine the critical temperature and the critical exponents of a S =1 Ising chain with a long-range interaction in the form of 1/ r1 +sigma • The results of critical temperature are in good agreement with the recent results of the finite-range scaling method and are more accurate in the classical region. The critical exponents are in agreement with the results of spin -1/2 Ising chains and indicate that the critical exponents are independent of the magnitude of spin in Ising models with long-range interactions.