FERROMAGNETISM IN THE BLUME–EMERY–GRIFFITHS MODEL ON FINITE-SIZE CAYLEY TREE

作者: Wen-Jun Chen , Xiang-Mu Kong

DOI: 10.1142/S0217984911025602

关键词:

摘要: The ferromagnetic properties of the spin-1 BEG model on finite-size Cayley tree are investigated using exact recursion method. spontaneous magnetization system is studied in detail for different values reduced crystal-field interaction D/J, and it found that there an unusual behavior (anti-Curie temperature) when D/J > 2.0. We also obtain Curie temperature this system. When size large enough, our results will fit well with thermodynamic limit.

参考文章(26)
Yoshiaki Tanaka, Norikiyo Uryû, Ising Model with General Spin and Planar Rotator Model on the Bethe Lattice Journal of the Physical Society of Japan. ,vol. 50, pp. 1140- 1148 ,(1981) , 10.1143/JPSJ.50.1140
Kazuhiro Takahashi, Motoyuki Tanaka, Spin-One Ising Model with Bilinear and Biquadratic Interactions Journal of the Physical Society of Japan. ,vol. 46, pp. 1428- 1433 ,(1979) , 10.1143/JPSJ.46.1428
Cesur Ekiz, Erhan Albayrak, Mustafa Keskin, Multicritical phase diagrams of the spin- {3}/{2} Blume-Emery-Griffiths model on the Bethe lattice using the recursion method Journal of Magnetism and Magnetic Materials. ,vol. 256, pp. 311- 321 ,(2003) , 10.1016/S0304-8853(02)00589-9
K.G. Chakraborty, J.W. Tucker, Statistical mechanics of a spin-one Ising model on a Bethe lattice Physica A-statistical Mechanics and Its Applications. ,vol. 137, pp. 122- 136 ,(1986) , 10.1016/0378-4371(86)90067-1
I.P. Fittipaldi, A.F. Siqueira, New effective-field theory for the Blume-Emery-Griffiths model Journal of Magnetism and Magnetic Materials. ,vol. 54-57, pp. 694- 696 ,(1986) , 10.1016/0304-8853(86)90214-3
Borko D. Stošić, Tatijana Stošić, Ivon P. Fittipaldi, Thermodynamic limit for the Ising model on the Cayley tree Physica A-statistical Mechanics and Its Applications. ,vol. 355, pp. 346- 354 ,(2005) , 10.1016/J.PHYSA.2005.01.039
K.G. Chakraborty, T. Morita, A spin-one Ising model on the Bethe lattice Physica A-statistical Mechanics and Its Applications. ,vol. 129, pp. 415- 422 ,(1985) , 10.1016/0378-4371(85)90177-3
T. P. Eggarter, Cayley trees, the Ising problem, and the thermodynamic limit Physical Review B. ,vol. 9, pp. 2989- 2992 ,(1974) , 10.1103/PHYSREVB.9.2989