Crystal field effects on a spin-1 Ising model with AFM–AFM interactions on a two-layer Bethe lattice

2009 ◽  
Vol 79 (6) ◽  
pp. 065005 ◽  
Author(s):  
Erhan Albayrak ◽  
Seyma Akkaya
2021 ◽  
pp. 2150286
Author(s):  
Erhan Albayrak

The outcome of the random crystal field effects on the antiferromagnetic spin-1 Blume–Capel model and external magnetic field are examined on the Bethe Lattice in terms of exact recursion relations. It is assumed that the crystal field is either turned on or off randomly with probability [Formula: see text] and [Formula: see text], respectively. The phase diagrams are constructed from the thermal analysis of the order parameters with the coordination number [Formula: see text] which corresponds to honeycomb lattice. It is explored that the system goes both second- and first-order phase transitions, along with the reentrant behavior and a few critical points. The reentrant behavior is stronger for lower values of [Formula: see text] and disappears as [Formula: see text] gets closer to 1.0. The first-order lines are observed to be either linked to the tricritical points or decomposed. The critical end points and double critical points are also observed.


1979 ◽  
Vol 40 (C5) ◽  
pp. C5-180-C5-182 ◽  
Author(s):  
J. X. Boucherle ◽  
D. Givord ◽  
J. Laforest ◽  
J. Schweizer ◽  
F. Tasset

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1031-C8-1032
Author(s):  
S. Coutinho ◽  
C. R. da Silva

1976 ◽  
Vol 18 (3) ◽  
pp. 303-306 ◽  
Author(s):  
S.G. Sankar ◽  
S.K. Malik ◽  
V.U.S. Rao

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