Abstract:
A two-fold Cayley tree graph with fully q-coordinated sites is constructed and the spin-1 Ising Blume-Emery-Griffiths model on the constructed graph is solved exactly using the exact recursion equations for the coordination number q = 3. The exact phase diagrams in (kT/J, K/J ) and (kT/J, D/J) planes are obtained for various values of constants D/J and K/J, respectively, and the tricritical behavior is found. It is observed that when the negative biquadratic exchange (K) and the positive crystal-field (D) interactions are large enough, the tricritical point disappears in the (kT/J, K/J) plane. On the other hand, the system always exhibits a tricritical behavior in the phase diagram of (kT/J, D/J) plane.
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Received 8 June 2001 and Received in final form 28 September 2001
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Albayrak, E., Keskin, M. An exact formulation of the Blume-Emery-Griffiths model on a two-fold Cayley tree model. Eur. Phys. J. B 24, 505–510 (2001). https://doi.org/10.1007/s10051-001-8704-3
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DOI: https://doi.org/10.1007/s10051-001-8704-3