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

Document Type : Regular Paper

Author

Department of Physics, Kashan University, Kashan, I. R. of Iran

Abstract

The coherent anomaly method and a cluster mean-field approach combined with finite-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+σ . 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-
2
1
Ising chains and indicate that the critical exponents are independent of the magnitude of spin in Ising
models with long-range interactions.

Keywords

Iranian Journal of Science
Volume 29, Issue 2 - Serial Number 2
September and October 2005
Pages 319-323

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