
ISING MODELS WITH SPIN 1Ostap BaranInstitute for Condensed Matter Physics, National Academy of Sciences of UkraineSpin1 Ising model with higherdegree spin terms (of an exchange as well as of a nonexchange origin) in the Hamiltonian is one of the most extensively studied models in condensed matter physics. That is so not only because of the fundamental theoretical interest arising from the richness of the phase diagram that is exhibited due to competition of interactions, but also because versions and extensions of this model can be applied for the description of simple and multicomponent fluids [1–3], dipolar and quadrupolar orderings in magnets [3–5], crystals with ferromagnetic impurities [3], ordering in semiconducting alloys [6], etc.Ising model with S=1 has been investigated by different simulation and approximate techniques: using the meanfield approximation [1–4, 7], effective field theory [8, 9], twoparticle cluster approximation [10, 11], Bethe approximation [12], hightemperature series expansions [13], renormalizationgroup theory [14, 15], and MonteCarlo simulations [12, 16, 17]. [1] D. Mukamel, M. Blume, Phys. Rev. A 10, 610 (1974). [2] D. Furman, S. Dattagupta, R.B. Griffiths, Phys. Rev. B 15, 441 (1977). [3] J. Sivardiere, in: Proc. Internat. Conf. Static critical phenomena in inhomogeneous systems, Karpacz 1984, Lecture notes in physics, 206, SpringerVerlag, Berlin 1984. [4] H.H. Chen, P.M. Levy, Phys. Rev. B 7, 4267 (1973). [5] E.L. Nagaev, Magnetics with complicated exchange interaction, Izd. Nauka, Moscow 1988. [6] K.E. Newman, J.D. Dow, Phys. Rev. B 27, 7495 (1983). [7] W. Hoston, A.N. Berker, Phys. Rev. Lett. 67, 1027 (1991). [8] T. Kaneyoshi, E.F. Sarmento, Physica. A 152, 343 (1988). [9] J.W. Tucker, J. Magn. Magn. Mat. 87, 16 (1990). [10] S.I. Sorokov, R.R. Levitskii, O.R. Baran, Ukr. Fiz. Zhurn. 41, 490 (1996). [11] S.I. Sorokov, R.R. Levitskii, O.R. Baran, Cond. Matt. Phys. N 9, 57 (1997). [12] K. Kasono, I. Ono, Z. Phys. B  Condensed Matter, 88, 205 (1992). [13] D. Saul, M. Wortis, D. Stauffer, Phys. Rev. B 9, 4964 (1974). [14] A. Bakchick, A.Benyoussef, M. Touzani, Physica A 186, 524 (1992). [15] R.R. Netz, A.N. Berker, Phys. Rev. B 47, 15019 (1993). [16] O.F. De Alcantara Bonfim, C.H. Obcemea, Z. Phys. B  Condensed Matter 64, 469 (1986). [17] D. Pena Lara, J.A. Plascak, International Journal of Modern Physics B 12, 2045 (1998). Personal webpage 