Springer Iranian Journal of Science 2731-8095 29 2 2005 09 01 THE COHERENT ANOMALY METHOD IN THE STUDYING OF THE S=1 ISING CHAINS WITH LONG-RANGE INTERACTION 319 323 2807 10.22099/ijsts.2005.2807 EN A. RAMAZANI Department of Physics, Kashan University, Kashan, I. R. of Iran Journal Article 2003 07 27 The coherent anomaly method and a cluster mean-field approach combined with finite-size<br />scaling extrapolation were used to determine the critical temperature and the critical exponents of a<br />S =1 Ising chain with a long-range interaction in the form of 1/ r1+σ . The results of critical<br />temperature are in good agreement with the recent results of the finite-range scaling method and are<br />more accurate in the classical region. The critical exponents are in agreement with the results of spin-<br />2<br />1<br />Ising chains and indicate that the critical exponents are independent of the magnitude of spin in Ising<br />models with long-range interactions. https://ijsts.shirazu.ac.ir/article_2807_b6e06d438a3252aae04d715ebd880f56.pdf