Exact solution of the Blume-Emery-Griffiths model on a Bethe lattice
Ananikyan N. S., Izmailyan N. Sh., Shcherbakov R. R.
The Blume-Emery-Griffiths model is analyzed in the subspace of exchange-interaction constants K= — In cos hJ. Exact expressions are derived for the free energy, for the Λ-line of second-order phase transitions, for the tricritical point, and for the critical exponents.