This article is cited in 15 papers

CONDENSED MATTER

The critical behavior of the mixed ferrimagnetic ternary alloy on the Bethe lattice

O. Canko^ab, B. Deviren^c, M. Keskin<sup>b

a</sup> School of Computational Science, Florida State University, Tallahassee, Florida 32306-4120, USA
^b Department of Physics, Erciyes University, 38039 Kayseri, Turkey
^c Institute of Science, Erciyes University, 38039 Kayseri, Turkey

Abstract: The critical behavior of the mixed Ising model of the type AB$_p$C$_{1-p}$ ternary alloy consisting of spins $\sigma=1/2$, $S=1$, 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 $q\le3$ 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.

PACS: 05.50.+q, 05.70.Fh, 75.10.Hk, 75.40.Cx

Received: 22.04.2008

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2008, 87:11, 633–638

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