The critical behavior of the mixed ferrimagnetic ternary alloy on the Bethe lattice
O. Canko+*, B. Deviren∇, M. Keskin+
+Department of Physics, Erciyes University, 38039 Kayseri, Turkey
*School of Computational Science, Florida State University, Tallahassee, Florida 32306-4120, USA
∇Institute of Science, Erciyes University, 38039 Kayseri, Turkey
PACS: 05.50.+q, 05.70.Fh, 75.10.Hk, 75.40.Cx
Abstract
The critical behavior of the mixed Ising model of the type
ABpC1-p ternary alloy consisting of spins σ=1/2,
S=1, and m=3/2 is investigated on the Bethe lattice by using the
exact recursion relations. The exact expressions for the
magnetizations and magnetic susceptibilities are found, and thermal
behaviors of the magnetizations and susceptibilities are studied. We
also investigate the behavior of magnetizations and susceptibilities
as a function of the crystal-field interaction or single-ion
anisotropy. We construct the phase diagram and find that the system
always undergoes a second-order phase transition for the
coordination number and a second- and first-order
phase transitions for q>3; hence the system gives a tricritical
point. The system also exhibits the reentrant behaviors.