The critical behaviors of a ferromagnetic–ferrimagnetic Ising ternary alloy with mixed spin-( 1/2, 3/2, 5/2)

R. Houenou; R. Yessoufou; A. Kpadonou; E. Albayrak

doi:10.1140/epjp/s13360-021-02049-9

EPJ

The critical behaviors of a ferromagnetic–ferrimagnetic Ising ternary alloy with mixed spin-( 1/2, 3/2, 5/2)

R. Houenou¹, R. Yessoufou¹^,2, A. Kpadonou¹^,3 and E. Albayrak⁴^d

¹ Institute of Mathematic and Physical Sciences (IMSP), Dangbo, Benin
² Department of Physics, University of Abomey-Calavi, Godomey, Republic of Benin
³ UNSTIM, ENS-Natitingou, Laboratory of Physics and Applications (LPA), Dangbo, Benin
⁴ Department of Physics, Erciyes University, 38039, Kayseri, Turkey

Received: 3 September 2021
Accepted: 6 October 2021
Published online: 12 October 2021

Abstract

The ferromagnetic–ferrimagnetic ternary alloy described in the form of

A B_{p} C_{1 - p}

$AB_{p}C_{1-p}$ consisting of spins

S_{i}^{A} = 1 / 2

S_{j}^{B} = 3 / 2

and

S_{j}^{C} = 5 / 2

is studied in the framework of the mean field theory (MFT) based on the Bogoliubov inequality for the free energy. The model has a selective site disorder, i.e.,

S_{i}^{A}

can either have

S_{j}^{B}

as the nearest neighbor with probability p or

S_{j}^{C}

with

1 - p

randomly. The ground-state phase diagrams are calculated on the (

R = | J_{AC} | / J_{AB}, d = D / z J_{AB})

$R=\vert J_{AC} \vert /J_{AB},d=D/zJ_{AB})$ planes to reveal various possible ground states of the system. The phase diagrams are mapped on the

(R, k T_{c} / J_{AB})

$(R,kT_{c}/J_{AB})$ ,

(D / J_{AB}, k T_{c} / J_{AB})

$(D/J_{AB},kT_{c}/J_{AB})$ ,

(p, k T_{c} / J_{AB})

$(p, kT_{c}/J_{AB})$ and

(p, k T_{comp} / J_{AB})

$(p, kT_{comp}/J_{AB})$ planes for given values of p, R and D. It is shown that the model only displays second-order phase transition temperatures. The existence of single or double compensation temperatures is also evident for the appropriate values of our parameters. We have also confirmed the existence of multicompensation behavior for the total magnetization of the system via the application of Monte-Carlo (MC) simulations as predicted by the MFT approach. Our obtained results are compared to those reported in the literature and reliable agreements are found.

15th European Conference on Atoms Molecules and Photons (ECAMP)
June 30 to July 4, 2025
Innsbruck, Austria

EPJ

The critical behaviors of a ferromagnetic–ferrimagnetic Ising ternary alloy with mixed spin-( 1/2, 3/2, 5/2)

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