On the hysteresis behaviors of the higher spin Ising model

TL;DR

This paper investigates the hysteresis behaviors of the higher spin ($S>1$) Blume-Capel model, revealing multiple windowed loops and nested characteristics influenced by crystal field and temperature effects.

Contribution

It provides new insights into the hysteresis phenomena of higher spin Ising models, especially in the large negative crystal field region, using effective field approximation.

Findings

$2S$ windowed hysteresis loops at low temperatures

Nested hysteresis loop characteristics for successive spins

Crystal field and temperature significantly affect hysteresis behaviors

Abstract

Hysteresis characteristics of the general Spin-S ($S>1$) Blume-Capel model have been studied within the effective field approximation. Particular emphasis has been paid on the large negative valued crystal field region and it has been demonstrated for this region that, Spin-S Blume-Capel model has $2S$ windowed hysteresis loop in low temperatures. Some interesting results have been obtained such as nested characteristics of the hysteresis loops of successive spin-S Blume-Capel model. Effect of the rising crystal field and temperature on these hysteresis behaviors have been investigated in detail and physical mechanisms have been given.