Magnetic properties of the bond and crystal field dilution Blume–Emery–Griffiths model in the presence of magnetic field

Phase diagrams of the mixed spin-1 and spin-1/2 Ising–Heisenberg model on the diamond-like decorated Bethe lattice

“…It is noteworthy that the BEG model is in fact the spin-1 Ising model supplemented by the single-ion anisotropy and biquadratic term, which may possibly exhibit a rich variety of critical and multicritical phenomena [11]. The properties of the BEG model are well understood within the framework of several approximations such as the mean-field theory [11][12][13], clustervariational method [14][15][16], Monte-Carlo simulation [17][18][19], effective-field theory [20,21], etc. Some exact results for the spin-1 BEG model on the honeycomb lattice have been reported in several previous studies [22][23][24][25][26], but the exact solution is restricted to a certain manifold of the parameter space only.…”

Staggered Quadrupolar Phase and Bicritical Point of Spin-1 Bond and Anisotropy Dilution Blume–Emery–Griffiths Model

“…[24] The EFT procedure has been widely employed in many single (mixed) spin systems. [14,18,25] Our studies show that a large negative ratio and two different dilution factors magnify the range of the SQ phase and reduce that of ferromagnetic phase in T -α or T -D plane. These parameters assist the reentrant behavior of the SQ-P lines and suppress that of the F-P lines.…”

Blume-Emery-Griffiths model on Random Graphs

“…The three possibilities of disorder in the BEG model and its combinations have been treated also in several techniques, such as mean field, renormalization group, Bethe lattice, transfer matrix, cluster variation, effective field theory (see, for instance, Refs. [14,19,20,21,22,23,24,25,26,27,28,29,30,31]). In the case of the random crystal field field displayed in Ref.…”