# Hysteresis Behaviors of the Binary Ising Model

## TL;DR

This paper investigates the hysteresis behaviors of a binary alloy Ising model with mixed spin types using effective field theory, revealing conditions for double hysteresis and how hysteresis properties depend on concentration.

## Contribution

It introduces a detailed analysis of hysteresis phenomena in a binary alloy Ising model, including mechanisms for double hysteresis and concentration effects, within the EFT framework.

## Key findings

- Double hysteresis occurs at large negative crystal fields and low temperatures.
- Binary alloy exhibits double hysteresis in 0<c<0.557.
- Hysteresis loop area, coercive field, and remanent magnetization depend on concentration.

## Abstract

Hysteresis behaviors of the binary alloy system represented by the formula $A_c B_{1-c}$ have been investigated within the framework of EFT. The system consists of type A atoms (spin-$1$) with concentration $c$ and type B atoms (spin-$1/2$) with concentration $1-c$. After giving the phase diagrams, we focused on the different type of hysteresis behaviors in the system. Especially, the mechanisms giving rise to double hysteresis behavior have been explained, which appear at large negative values of the crystal field and low temperatures. It has been observed that binary alloy system could exhibit DH behavior in region $0<c<0.557$. Besides, dependence of hysteresis loop area, coercive field and remanent magnetization on the concentration has been investigated.