Study of the mixed Ising spins (1/2,3/2) in a random crystal field

TL;DR

This paper investigates the magnetic behavior of a mixed Ising ferrimagnetic system with spins 1/2 and 3/2 under a random crystal field, revealing new ferrimagnetic phases and complex phase diagrams.

Contribution

It introduces the study of a mixed Ising system with random crystal field, identifying a new partly ferrimagnetic phase and analyzing phase diagram topologies.

Findings

Discovery of a new partly ferrimagnetic phase.

Identification of three topologically different phase diagrams.

Good agreement of phase transition behavior with ground state results.

Abstract

We study the magnetic properties of a mixed Ising ferrimagnetic system, in which the two interacting sublattices have spins $\sigma$, $(\pm 1/2)$ and spins $S$, $(\pm 3/2,\pm 1/2)$ in the presence of a random crystal field, with the mean field approach. The obtained results show the existence of some interesting phenomena, such as the appearance of a new ferrimagnetic phase namely the partly ferrimagnetic phase $(m_{\sigma}=\frac{-1}{2},m_S=+1)$ and consequently the existence of three topologically different types of phase diagrams. The effect of increasing the exchange interaction parameter $J$, at very low temperature is investigated. The transitions shown in these phase diagrams are in good agreement with those obtained in the ground state case.